-
1
-
-
0002576777
-
Unilateral contact and dry friction in finite freedom dynamics
-
Moreau New York: Springer-Verlag
-
[S1] J.-J. Moreau, “Unilateral contact and dry friction in finite freedom dynamics,” in Non-Smooth Mechanics and Applications, vol. 302, J.-J. Moreau and P.D. Panagiotopoulos, Eds. New York: Springer-Verlag, 1988, pp. 1–82.
-
(1988)
Non-Smooth Mechanics and Applications
, vol.302
, pp. 1-82
-
-
-
4
-
-
0003572263
-
Complementarity Problems
-
New York Springer-Ver-lag
-
[S4] G. Isac, Complementarity Problems. New York: Springer-Ver-lag, 1992.
-
(1992)
-
-
-
5
-
-
0031352141
-
Engineering and economic applications of complementarity problems
-
C. Ferris and J.-S. Pang
-
[S5] M.C. Ferris and J.-S. Pang, “Engineering and economic applications of complementarity problems,” SIAM Rev., vol. 39, no. 4, pp. 669-713,1997.
-
(1997)
SIAM Rev.
, vol.39
, Issue.4
, pp. 669-713
-
-
[S5], M.1
-
6
-
-
0038209517
-
Some perspectives on the analysis and control of complementarity systems
-
[S6] B. Brogliato, “Some perspectives on the analysis and control of complementarity systems,” IEEE Trans. Automat. Contr., vol. 48, no. 6, pp. 918–935, 2003.
-
(2003)
IEEE Trans. Automat. Contr.
, vol.48
, Issue.6
, pp. 918-935
-
-
-
7
-
-
0032051095
-
Special issue on hybrid control systems
-
J. Antsaklis and A. Nerode, guest eds.
-
[S7] P.J. Antsaklis and A. Nerode, guest eds., “Special issue on hybrid control systems,” IEEE Trans. Automat. Contr., vol. 43, no. 4, 1998.
-
(1998)
IEEE Trans. Automat. Contr.
, vol.43
, Issue.4
-
-
[S7], P.1
-
8
-
-
0040865146
-
Special issue on hybrid systems
-
[S8] A.S. Morse, C.C. Pantelides, S.S. Sastry, and J.M. Schumacher, Guest Eds., “Special issue on hybrid systems,” Automatica, vol. 35, no. 3, 1999.
-
(1999)
Automatica
, vol.35
, Issue.3
-
-
Morse, A.S.1
-
10
-
-
33144463923
-
Solutions of hybrid inclusions via set and graphical convergence with stability theory applications
-
[S10] R. Goebel and A.R. Teel, “Solutions of hybrid inclusions via set and graphical convergence with stability theory applications,” Automata, vol. 42, no. 4, pp. 573–587, 2006.
-
(2006)
Automata
, vol.42
, Issue.4
, pp. 573-587
-
-
Teel, A.R.1
-
11
-
-
0002702923
-
Discontinuous vector fields and feedback control
-
New York: Academic
-
[S11] H. Hermes, “Discontinuous vector fields and feedback control,” in Differential Equations and Dynamical Systems. New York: Academic, 1967, pp. 155–165.
-
(1967)
Differential Equations and Dynamical Systems.
, pp. 155-165
-
-
-
12
-
-
33847219178
-
Discontinuous differential equations I
-
[S12] O. Hajek, “Discontinuous differential equations I,” J. Differ. Equ., vol. 32, pp. 149–170, 1979.
-
(1979)
J. Differ. Equ.
, vol.32
, pp. 149-170
-
-
-
13
-
-
84971790814
-
A lower closure theorem for autonomous orien-tor fields
-
no. 3/4
-
[S13] L. Ambrosio, “A lower closure theorem for autonomous orien-tor fields,” Proc. R. Soc. Edinb. A, Math, vol. A110, no. 3/4, pp. 249–254, 1988.
-
(1988)
Proc. R. Soc. Edinb. A, Math
, vol.A110
, pp. 249-254
-
-
-
15
-
-
0030098137
-
A comparison of the Caratheodory and Filippov solution sets
-
S. Spraker and D.C. Biles
-
[S15] J.S. Spraker and D.C. Biles, “A comparison of the Caratheodory and Filippov solution sets,” J. Math. Anal. Appl., vol. 198 no. 2, pp. 571-580,1996.
-
(1996)
J. Math. Anal. Appl.
, vol.198
, Issue.2
, pp. 571-580
-
-
[S15], J.1
-
16
-
-
0000216309
-
Differential equations with discontinuous right-hand sides
-
[S16] S. Hu, “Differential equations with discontinuous right-hand sides,” J. Math. Anal. Appl., vol. 154, no. 2, pp. 377–390, 1991.
-
(1991)
J. Math. Anal. Appl.
, vol.154
, Issue.2
, pp. 377-390
-
-
-
17
-
-
33745313379
-
Some remarks on generalized solutions of discontinuous differential equations
-
[S17] A. Bacciotti, “Some remarks on generalized solutions of discontinuous differential equations,” Int. J. Pure Applied Math., vol. 10, no. 3, pp. 257–266, 2004.
-
(2004)
Int. J. Pure Applied Math.
, vol.10
, Issue.3
, pp. 257-266
-
-
-
18
-
-
85008042910
-
A Lyapunov characterization of robust stabilization
-
S. Ledyaev and E.D. Sontag
-
[S18] Y.S. Ledyaev and E.D. Sontag, “A Lyapunov characterization of robust stabilization,” Nonlinear Anal., Theory, Methods, Appl., vol.
-
Nonlinear Anal., Theory, Methods, Appl.
-
-
[S18], Y.1
-
19
-
-
85008004055
-
-
37, pp. 813–840, 1999.
-
(1999)
, pp. 813-840
-
-
-
20
-
-
0034458934
-
Feed-back stabilization and Lyapunov functions
-
Y.S. Ledyaev, L. Rifford, and R.J. Stern
-
[S19] F.H. Clarke, Y.S. Ledyaev, L. Rifford, and R.J. Stern, “Feed-back stabilization and Lyapunov functions,” SIAM J. Control Optim., vol. 39, no. 1, pp. 25-48, 2000.
-
(2000)
SIAM J. Control Optim.
, vol.39
, Issue.1
, pp. 25-48
-
-
Clarke, F.H.1
-
21
-
-
0034426073
-
A smooth Lyapunov function from a class KL estimate involving two positive semidefinite functions
-
R. Teel and L. Praly
-
[S20] A.R. Teel and L. Praly, “A smooth Lyapunov function from a class KL estimate involving two positive semidefinite functions,” ESAIMJ. Control, Optim. Calculus Variations, vol. 5, pp. 313-367,2000.
-
(2000)
ESAIMJ. Control, Optim. Calculus Variations
, vol.5
, pp. 313-367
-
-
[S20], A.1
-
22
-
-
0004243911
-
Viability Theory
-
Cambridge, MA: Birkhauser
-
[S21] J.P. Aubin, Viability Theory. Cambridge, MA: Birkhauser, 1991.
-
(1991)
-
-
Aubin, J.P.1
-
23
-
-
0003997764
-
Projected Dynamical Systems and Variational Inequalities with Applications
-
Norwell, MA: Kluwer
-
[S22] A. Nagurney and D. Zhang, Projected Dynamical Systems and Variational Inequalities with Applications. Norwell, MA: Kluwer, 1996.
-
(1996)
-
-
Zhang, D.1
-
24
-
-
0026876816
-
Difference methods for differential inclusions: A survey
-
[S23] A. Dontchev and F. Lempio, “Difference methods for differential inclusions: A survey,” SIAM Rev., vol. 34, pp. 263-294,1992.
-
(1992)
SIAM Rev.
, vol.34
, pp. 263-294
-
-
Lempio, F.1
-
25
-
-
0000966105
-
Discrete approximations of differential inclusions
-
[S24] F. Lempio and V. Veliov, “Discrete approximations of differential inclusions,” Bayreuth. Math. Schr., vol. 54, pp. 149-232,1998.
-
(1998)
Bayreuth. Math. Schr.
, vol.54
, pp. 149-232
-
-
Veliov, V.1
-
26
-
-
65449118536
-
Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics
-
New York: Springer-Verlag
-
[S25] V. Acary and B. Brogliato, Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics. New York: Springer-Verlag, 2008.
-
(2008)
-
-
Brogliato, B.1
-
27
-
-
28444444095
-
On the equivalence between complementarity systems, projected systems, and differential inclusions
-
[S26] B. Brogliato, A. Daniilidis, C. Lemarechal, and V. Acary, “On the equivalence between complementarity systems, projected systems, and differential inclusions,” Syst. Control Lett., vol. 55, no. 1, pp. 45-51,2006.
-
(2006)
Syst. Control Lett.
, vol.55
, Issue.1
, pp. 45-51
-
-
Daniilidis, A.1
Lemarechal, C.2
Acary, V.3
-
28
-
-
0742333192
-
Control Theory from the Geometric View-point
-
New York: Springer-Verlag
-
A.A. Agrachev and Y. Sachkov, Control Theory from the Geometric View-point. New York: Springer-Verlag, 2004.
-
(2004)
-
-
Agrachev, A.A.1
Sachkov, Y.2
-
29
-
-
85002016353
-
A History of Control Engineering
-
London, U.K. : Inst. Elect. Eng.
-
S. Bennett, A History of Control Engineering 1930–1955. London, U.K.: Inst. Elect. Eng., 1993.
-
(1993)
, pp. 1930-1955
-
-
Bennett, S.1
-
30
-
-
0003915172
-
Nonsmooth Mechanics: Models, Dynamics, and Control
-
2nd ed. New York: Springer-Verlag
-
B. Brogliato, Nonsmooth Mechanics: Models, Dynamics, and Control, 2nd ed. New York: Springer-Verlag, 1999.
-
(1999)
-
-
Brogliato, B.1
-
31
-
-
0003699954
-
Multibody Dynamics with Unilateral Contacts
-
New York: Wiley
-
F. Pfeiffer and C. Glocker, Multibody Dynamics with Unilateral Contacts. New York: Wiley, 1996.
-
(1996)
-
-
Pfeiffer, F.1
Glocker, C.2
-
32
-
-
3142739363
-
Decentralized algorithms for multi-robot manipulation via caging
-
G.A.S. Pereira, M.F.M. Campos, and V. Kumar, “Decentralized algorithms for multi-robot manipulation via caging,” Int. J. Robotics Res., vol. 23, no. 78, pp. 783-795,2004.
-
(2004)
Int. J. Robotics Res.
, vol.23
, Issue.78
, pp. 783-795
-
-
Pereira, G.A.S.1
Campos, M.F.M.2
Kumar, V.3
-
33
-
-
0003779264
-
Sliding Modes in Control and Optimization
-
New York: Springer-Verlag
-
V.I. Utkin, Sliding Modes in Control and Optimization. New York: Springer-Verlag, 1992.
-
(1992)
-
-
Utkin, V.I.1
-
34
-
-
0003870454
-
Sliding Mode Control: Theory and Applications
-
New York Taylor & Francis
-
C. Edwards and S.K. Spurgeon, Sliding Mode Control: Theory and Applications. New York: Taylor & Francis, 1998.
-
(1998)
-
-
Edwards, C.1
Spurgeon, S.K.2
-
35
-
-
0003869829
-
Behavior-Based Robotics
-
Cambridge, MA: MIT Press
-
R.C. Arkin, Behavior-Based Robotics. Cambridge, MA: MIT Press, 1998.
-
(1998)
-
-
Arkin, R.C.1
-
36
-
-
0003859933
-
Optimization and Nonsmooth Analysis
-
(Canadian Math. Soc. Series of Monographs and Advanced Texts). New York: Wiley
-
F.H. Clarke, Optimization and Nonsmooth Analysis (Canadian Math. Soc. Series of Monographs and Advanced Texts). New York: Wiley, 1983.
-
(1983)
-
-
Clarke, F.H.1
-
37
-
-
33644974915
-
Control Perspectives on Numerical Algorithms and Matrix Problems
-
Philadelphia, PA: SIAM
-
A. Bhaya and E. Kaszkurewicz, Control Perspectives on Numerical Algorithms and Matrix Problems. Philadelphia, PA: SIAM, 2006.
-
(2006)
-
-
Bhaya, A.1
Kaszkurewicz, E.2
-
38
-
-
0027554937
-
On the existence and uniqueness of solutions in adaptive control systems
-
M.M. Polycarpou and P.A. Ioannou, “On the existence and uniqueness of solutions in adaptive control systems,” IEEE Trans. Automat. Contr., vol. 38, no. 3, pp. 474-479,1993.
-
(1993)
IEEE Trans. Automat. Contr.
, vol.38
, Issue.3
, pp. 474-479
-
-
Polycarpou, M.M.1
Ioannou, P.A.2
-
39
-
-
84988226606
-
Mathematical Control Theory: Deterministic Finite Dimensional Systems
-
2nd ed. New York: Springer-Verlag
-
E.D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd ed. New York: Springer-Verlag, 1998.
-
(1998)
-
-
Sontag, E.D.1
-
40
-
-
0001215663
-
Asymptotic stability and feedback stabilization
-
Cambridge, MA: Birkhauser
-
R.W. Brockett, “Asymptotic stability and feedback stabilization,” in Geometric Control Theory, R.W. Brockett, R.S. Millman, and H.J. Sussmann, Eds. Cambridge, MA: Birkhauser, 1983, pp. 181–191.
-
(1983)
Geometric Control Theory
, pp. 181-191
-
-
Brockett, R.W.1
-
41
-
-
1642390605
-
Liapunov Functions and Stability in Control Theory
-
2nd ed. New York: Springer-Verlag
-
A. Bacciotti and L. Rosier, Liapunov Functions and Stability in Control Theory, 2nd ed. New York: Springer-Verlag, 2005.
-
(2005)
-
-
Bacciotti, A.1
Rosier, L.2
-
42
-
-
0033731657
-
Rigid-body dynamics with friction and impact
-
D.E. Stewart, “Rigid-body dynamics with friction and impact,” SIAM Rev., vol. 42, no. 1, pp. 3–39, 2000.
-
(2000)
SIAM Rev.
, vol.42
, Issue.1
, pp. 3-39
-
-
Stewart, D.E.1
-
43
-
-
33645421684
-
Discontinuous ordinary differential equations and stabilization
-
Ph.D. dissertation Univ. Firenze, Italy 1999 [Online]. Avail:
-
F. Ceragioli, “Discontinuous ordinary differential equations and stabilization,” Ph.D. dissertation, Univ. Firenze, Italy, 1999 [Online]. Avail: http://calvino.polito.it/¬ceragioli
-
-
-
Ceragioli, F.1
-
44
-
-
0003437218
-
Classical Mechanics
-
2nd ed. Reading, MA: Addison-Wesley
-
H. Goldstein, Classical Mechanics, 2nd ed. Reading, MA: Addison-Wesley, 1980.
-
(1980)
-
-
Goldstein, H.1
-
45
-
-
0003608430
-
Differential Equations with Discontinuous Righthand Sides
-
Norwell, MA: Kluwer
-
A.F. Filippov, Differential Equations with Discontinuous Righthand Sides. Norwell, MA: Kluwer, 1988.
-
(1988)
-
-
Filippov, A.F.1
-
46
-
-
0003936377
-
Differential Inclusions
-
New York: Springer-Verlag
-
J.P. Aubin and A. Cellina, Differential Inclusions. New York: Springer-Verlag, 1994.
-
(1994)
-
-
Aubin, J.P.1
Cellina, A.2
-
47
-
-
0348014335
-
Introduction to the Theory of Differential Inclusions
-
Providence, RI: American Mathematical Society
-
G.V. Smirnov, Introduction to the Theory of Differential Inclusions. Providence, RI: American Mathematical Society, 2001.
-
(2001)
-
-
Smirnov, G.V.1
-
48
-
-
0028539994
-
On Brockett's condition for smooth stabilizability and its necessity in a context of nonsmooth feedback
-
E.P. Ryan, “On Brockett's condition for smooth stabilizability and its necessity in a context of nonsmooth feedback,” SIAM J. Control Optim., vol. 32, no. 6, pp. 1597-1604,1994.
-
(1994)
SIAM J. Control Optim.
, vol.32
, Issue.6
, pp. 1597-1604
-
-
Ryan, E.P.1
-
49
-
-
0001921646
-
A relation between continuous time-varying and discontinuous feedback stabilization
-
J.M. Coron and L. Rosier, “A relation between continuous time-varying and discontinuous feedback stabilization,” J. Mathematics Syst., Estimation Contr., vol. 4, no. 1, pp. 67-84,1994.
-
(1994)
J. Mathematics Syst., Estimation Contr.
, vol.4
, Issue.1
, pp. 67-84
-
-
Coron, J.M.1
Rosier, L.2
-
50
-
-
0003446993
-
Game-Theoretical Control Problems
-
New York: Springer-Verlag
-
N.N. Krasovskii and A.I. Subbotin, Game-Theoretical Control Problems. New York: Springer-Verlag, 1988.
-
(1988)
-
-
Krasovskii, N.N.1
Subbotin, A.I.2
-
51
-
-
84992149005
-
Nonsmooth Analysis and Control Theory
-
New York: Springer-Verlag
-
F.H. Clarke, Y. Ledyaev, R.J. Stern, and P.R. Wolenski, Nonsmooth Analysis and Control Theory. New York: Springer-Verlag, 1998.
-
(1998)
-
-
Clarke, F.H.1
Ledyaev, Y.2
Stern, R.J.3
Wolenski, P.R.4
-
52
-
-
0002415375
-
Stability and stabilization: Discontinuities and the effect of disturbances
-
Norwell, MA: Kluwer
-
E.D. Sontag, “Stability and stabilization: Discontinuities and the effect of disturbances,” in Nonlinear Analysis, Differential Equations, and Control, F.H. Clarke and R.J. Stern, Eds. Norwell, MA: Kluwer, 1999, pp. 551–598.
-
(1999)
Nonlinear Analysis, Differential Equations, and Control
, pp. 551-598
-
-
Sontag, E.D.1
-
53
-
-
33845746646
-
Lyapunov functions and feedback in nonlinear control
-
New York: Springer-Verlag
-
F.H. Clarke, “Lyapunov functions and feedback in nonlinear control,” in Optimal Control, Stabilization and Nonsmooth Analysis, M.S. de Queiroz, M. Malisoff, and P. Wolenski, Eds. New York: Springer-Verlag, 2004, pp. 267–282.
-
(2004)
Optimal Control, Stabilization and Nonsmooth Analysis
, pp. 267-282
-
-
Clarke, F.H.1
-
54
-
-
0003536628
-
Theory of Ordinary Differential Equations
-
New York: McGraw-Hill
-
E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations. New York: McGraw-Hill, 1955.
-
(1955)
-
-
Coddington, E.A.1
Levinson, N.2
-
55
-
-
0037736943
-
Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations
-
Singapore: World Scientific
-
R.P. Agarwal and V. Lakshmikantham, Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations. Singapore: World Scientific, 1993.
-
(1993)
-
-
Agarwal, R.P.1
Lakshmikantham, V.2
-
56
-
-
0008605002
-
Traiettorie di campi di vettori discontinui
-
A. Pucci, “Traiettorie di campi di vettori discontinui,” Rend. 1st. Mat. Univ. Trieste, vol. 8, pp. 84-93,1976.
-
(1976)
Rend. 1st. Mat. Univ. Trieste
, vol.8
, pp. 84-93
-
-
Pucci, A.1
-
57
-
-
0033276553
-
Patchy vector fields and asymptotic stabilization
-
F. Ancona and A. Bressan, “Patchy vector fields and asymptotic stabilization,” ESAIM. Control, Optimisation Calculus of Variations, vol. 4, pp. 419-444,1999.
-
(1999)
ESAIM. Control, Optimisation Calculus of Variations
, vol.4
, pp. 419-444
-
-
Ancona, F.1
Bressan, A.2
-
58
-
-
0005706219
-
Unique solutions for a class of discontinuous differential equations
-
A. Bressan, “Unique solutions for a class of discontinuous differential equations,” Proc. Amer. Math. Soc., vol. 104, no. 3,1988, pp. 772–778.
-
(1988)
Proc. Amer. Math. Soc.
, vol.104
, Issue.3
, pp. 772-778
-
-
Bressan, A.1
-
59
-
-
0032343461
-
Uniqueness for discontinuous o.d.e. and conservation laws
-
A. Bressan and W. Shen, “Uniqueness for discontinuous o.d.e. and conservation laws,” Nonlinear Anal., vol. 34, pp. 637-652,1998.
-
(1998)
Nonlinear Anal.
, vol.34
, pp. 637-652
-
-
Bressan, A.1
Shen, W.2
-
60
-
-
0034262409
-
Characterization of well-posedness of piecewise linear systems
-
der Schaft
-
J.-I. Imura and A.J. van der Schaft, “Characterization of well-posedness of piecewise linear systems,” IEEE Trans. Automat. Contr., vol. 45, no. 9, pp. 1600-1619,2000.
-
(2000)
IEEE Trans. Automat. Contr.
, vol.45
, Issue.9
, pp. 1600-1619
-
-
Imura, J.-I.1
van, A.J.2
-
61
-
-
0003988657
-
Stability of Motion. Applications of Lyapunov's Second Method to Differential Systems and Equations with Delay
-
Stanford, CA: Stanford Univ. Press (Transl. from Russian by J.L. Brenner).
-
N.N. Krasovskii, Stability of Motion. Applications of Lyapunov's Second Method to Differential Systems and Equations with Delay. Stanford, CA: Stanford Univ. Press, 1963. (Transl. from Russian by J.L. Brenner).
-
(1963)
-
-
Krasovskii, N.N.1
-
62
-
-
0008536039
-
Equations differentielles a second membre mesurable
-
no. 15-B
-
R. Sentis, “Equations differentielles a second membre mesurable,” Boll. Unione Matematica Italiana, vol. 5, no. 15-B, pp. 724-742,1978.
-
(1978)
Boll. Unione Matematica Italiana
, vol.5
, pp. 724-742
-
-
Sentis, R.1
-
63
-
-
0023123261
-
A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators
-
B. Paden and S.S. Sastry, “A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators,” IEEE Trans. Circuits Syst., vol. 34, no. 1, pp. 73–82, 1987.
-
(1987)
IEEE Trans. Circuits Syst.
, vol.34
, Issue.1
, pp. 73-82
-
-
Paden, B.1
Sastry, S.S.2
-
64
-
-
0346812302
-
Switching in Systems and Control
-
Cambridge, MA: Birkhauser
-
D. Liberzon, Switching in Systems and Control. Cambridge, MA: Birkhauser, 2003.
-
(2003)
-
-
Liberzon, D.1
-
66
-
-
0242366139
-
On solution concepts and well-posedness of linear relay systems
-
A.Y. Pogromsky, W.P.M.H. Heemels, and H. Nijmeijer, “On solution concepts and well-posedness of linear relay systems,” Automatica, vol. 39, no. 12, pp. 2139–2147, 2003.
-
(2003)
Automatica
, vol.39
, Issue.12
, pp. 2139-2147
-
-
Pogromsky, A.Y.1
Heemels, W.P.M.H.2
Nijmeijer, H.3
-
67
-
-
0141957174
-
Holder continuous o.d.e. related to traffic flow
-
R.M. Colombo and A. Marson, “Holder continuous o.d.e. related to traffic flow,” Proc. R. Soc. Edinb. A., Math, vol. 133A, pp. 759-772,2003.
-
(2003)
Proc. R. Soc. Edinb. A., Math
, vol.133A
, pp. 759-772
-
-
Colombo, R.M.1
Marson, A.2
-
68
-
-
0031257967
-
Asymptotic controllability implies feedback stabilization
-
F.H. Clarke, Y.S. Ledyaev, E.D. Sontag, and A.I. Subbotin, “Asymptotic controllability implies feedback stabilization,” IEEE Trans. Automat. Contr., vol. 42, no. 10, pp. 1394-1407,1997.
-
(1997)
IEEE Trans. Automat. Contr.
, vol.42
, Issue.10
, pp. 1394-1407
-
-
Clarke, F.H.1
Ledyaev, Y.S.2
Sontag, E.D.3
Subbotin, A.I.4
-
69
-
-
0004258516
-
Variational Analysis
-
New York: Springer-Verlag
-
R.T. Rockafellar and R.J.B. Wets, Variational Analysis. New York: Springer-Verlag, 1998.
-
(1998)
-
-
Rockafellar, R.T.1
Wets, R.J.B.2
-
70
-
-
0003453924
-
Set-Valued Analysis
-
Cambridge, MA: Birkhauser
-
J.P. Aubin and H. Frankowska, Set-Valued Analysis. Cambridge, MA: Birkhauser, 1990.
-
(1990)
-
-
Aubin, J.P.1
Frankowska, H.2
-
71
-
-
33748936901
-
Coordination and geometric optimization via distributed dynamical systems
-
J. Cortes and F. Bullo, “Coordination and geometric optimization via distributed dynamical systems,” SIAM J. Control Optim., vol. 44, no. 5, pp. 1543–1574, 2005.
-
(2005)
SIAM J. Control Optim.
, vol.44
, Issue.5
, pp. 1543-1574
-
-
Cortes, J.1
Bullo, F.2
-
72
-
-
0003969313
-
Convex Analysis and Nonlinear Optimization: Theory and Examples
-
New York: Springer-Verlag
-
J.M. Borwein and A.S. Lewis, Convex Analysis and Nonlinear Optimization: Theory and Examples. New York: Springer-Verlag, 2000.
-
(2000)
-
-
Borwein, J.M.1
Lewis, A.S.2
-
73
-
-
0038032110
-
Fundamentals of Convex Analysis
-
2nd ed. New York: Springer-Verlag
-
J.-B. Hiriart-Urruty and C. Lemarechal, Fundamentals of Convex Analysis, 2nd ed. New York: Springer-Verlag, 2004.
-
(2004)
-
-
Hiriart-Urruty, J.-B.1
Lemarechal, C.2
-
74
-
-
0004267646
-
Convex Analysis
-
Princeton, NJ: Princeton Univ. Press, 1970 (reprint 1997).
-
R.T. Rockafellar, Convex Analysis. Princeton, NJ: Princeton Univ. Press, 1970 (reprint 1997).
-
-
-
Rockafellar, R.T.1
-
75
-
-
0001001437
-
Proximal analysis and minimization principles
-
F.H. Clarke, Y.S. Ledyaev, and P.R. Wolenski, “Proximal analysis and minimization principles,” J. Math. Anal. Appl., vol. 196, no. 2, pp. 722-735,1995.
-
(1995)
J. Math. Anal. Appl.
, vol.196
, Issue.2
, pp. 722-735
-
-
Clarke, F.H.1
Ledyaev, Y.S.2
Wolenski, P.R.3
-
76
-
-
0004002220
-
Applied Nonlinear Analysis
-
New York: Wiley
-
J.P. Aubin and I. Ekeland, Applied Nonlinear Analysis. New York: Wiley, 1984.
-
(1984)
-
-
Aubin, J.P.1
Ekeland, I.2
-
77
-
-
0004178386
-
Nonlinear Systems
-
3rd ed. Englewood Cliffs, NJ: Prentice-Hall
-
H.K. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 2002.
-
(2002)
-
-
Khalil, H.K.1
-
78
-
-
0028497846
-
Lyapunov stability theory of nonsmooth systems
-
D. Shevitz and B. Paden, “Lyapunov stability theory of nonsmooth systems,” IEEE Trans. Automat. Contr., vol. 39, no. 9, pp. 1910-1914,1994.
-
(1994)
IEEE Trans. Automat. Contr.
, vol.39
, Issue.9
, pp. 1910-1914
-
-
Shevitz, D.1
Paden, B.2
-
79
-
-
0032074250
-
An integral invariance principle for differential inclusions with applications in adaptive control
-
E.P. Ryan, “An integral invariance principle for differential inclusions with applications in adaptive control,” SIAM J. Control Optim., vol. 36, no. 3, pp. 960-980,1998.
-
(1998)
SIAM J. Control Optim.
, vol.36
, Issue.3
, pp. 960-980
-
-
Ryan, E.P.1
-
80
-
-
0033276564
-
Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions
-
A. Bacciotti and F. Ceragioli, Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions,” ESAIM. Control, Optim. Calculus Variations, vol. 4, pp. 361-376,1999.
-
(1999)
ESAIM. Control, Optim. Calculus Variations
, vol.4
, pp. 361-376
-
-
Bacciotti, A.1
Ceragioli, F.2
-
81
-
-
31144478341
-
Nonpathological Lyapunov functions and discontinuous Caratheodory systems
-
A. Bacciotti and F. Ceragioli, “Nonpathological Lyapunov functions and discontinuous Caratheodory systems,” Automatica, vol. 42, no. 3, pp. 453-458,2006.
-
(2006)
Automatica
, vol.42
, Issue.3
, pp. 453-458
-
-
Bacciotti, A.1
Ceragioli, F.2
-
82
-
-
0001343175
-
Entrainement unilateral, lignes de descente, fonctions lipschitziennes non pathologiques
-
M. Valadier, “Entrainement unilateral, lignes de descente, fonctions lipschitziennes non pathologiques,” C.R. Acad. Sci. Paris Ser. I Math, vol. 8, pp. 241-244,1989.
-
(1989)
C.R. Acad. Sci. Paris Ser. I Math
, vol.8
, pp. 241-244
-
-
Valadier, M.1
-
83
-
-
0003779190
-
Differential Equations, Dynamical Systems and Linear Algebra
-
New York: Academic
-
W.M. Hirsch and S. Smale, Differential Equations, Dynamical Systems and Linear Algebra. New York: Academic, 1974.
-
(1974)
-
-
Hirsch, W.M.1
Smale, S.2
-
84
-
-
33748930431
-
Finite-time convergent gradient flows with applications to network consensus
-
J. Cortes, “Finite-time convergent gradient flows with applications to network consensus,” Automatica, vol. 42, no. 11, pp. 1993–2000, 2006.
-
(2006)
Automatica
, vol.42
, Issue.11
, pp. 1993-2000
-
-
Cortes, J.1
-
85
-
-
33747635603
-
Finite time stabilization of nonlinear oscillators subject to dry friction
-
Norwell, MA: Kluwer
-
S. Adly, H. Attouch, and A. Cabot, “Finite time stabilization of nonlinear oscillators subject to dry friction,” in Progresses in Nonsmooth Mechanics and Analysis, P. Alart, O. Maisonneuve, and R.T. Rockafellar, Eds. Norwell, MA: Kluwer, 2006, pp. 289–304.
-
(2006)
Progresses in Nonsmooth Mechanics and Analysis
, pp. 289-304
-
-
Adly, S.1
Attouch, H.2
Cabot, A.3
-
86
-
-
44649132476
-
Stabilization of oscillators subject to dry friction: Finite time convergence versus exponential decay results
-
A. Cabot, “Stabilization of oscillators subject to dry friction: Finite time convergence versus exponential decay results,” Trans. Amer. Mathemat. Soc., vol. 360, pp. 103-121,2008.
-
(2008)
Trans. Amer. Mathemat. Soc.
, vol.360
, pp. 103-121
-
-
Cabot, A.1
-
87
-
-
4644244041
-
Consensus problems in networks of agents with switching topology and time-delays
-
R. Olfati-Saber and R.M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Trans. Automat. Contr., vol. 49, no. 9, pp. 1520–1533, 2004.
-
(2004)
IEEE Trans. Automat. Contr.
, vol.49
, Issue.9
, pp. 1520-1533
-
-
Olfati-Saber, R.1
Murray, R.M.2
-
88
-
-
0020848962
-
Stabilization with relaxed controls
-
Z. Artstein, “Stabilization with relaxed controls,” Nonlinear Analysis, vol. 7, pp. 1163-1173,1983.
-
(1983)
Nonlinear Analysis
, vol.7
, pp. 1163-1173
-
-
Artstein, Z.1
-
89
-
-
0002239179
-
Asymptotic stability and smooth Lyapunov functions
-
F.H. Clarke, Y.S. Ledyaev, and R.J. Stern, “Asymptotic stability and smooth Lyapunov functions,” J. Differ. Equ., vol. 149, pp. 69-114,1998.
-
(1998)
J. Differ. Equ.
, vol.149
, pp. 69-114
-
-
Clarke, F.H.1
Ledyaev, Y.S.2
Stern, R.J.3
-
90
-
-
29744437479
-
Convergence rate estimates for the gradient differential inclusion
-
O. Guler, “Convergence rate estimates for the gradient differential inclusion,” Optim. Methods Software, vol. 20, no. 6, pp. 729–735, 2005.
-
(2005)
Optim. Methods Software
, vol.20
, Issue.6
, pp. 729-735
-
-
Guler, O.1
-
91
-
-
0001990990
-
Control theory and singular Riemannian geometry
-
New York: Springer-Verlag
-
R.W. Brockett, “Control theory and singular Riemannian geometry,” in New Directions in Applied Mathematics, P. Hilton and G. Young, Eds. New York: Springer-Verlag, 1982, pp. 11–27.
-
(1982)
New Directions in Applied Mathematics
, pp. 11-27
-
-
Brockett, R.W.1
-
92
-
-
0020749108
-
A Lyapunov-like characterization of asymptotic controllability
-
E.D. Sontag, “A Lyapunov-like characterization of asymptotic controllability,” SIAM J. Control Optim., vol. 21, pp. 462-471,1983.
-
(1983)
SIAM J. Control Optim.
, vol.21
, pp. 462-471
-
-
Sontag, E.D.1
-
93
-
-
84996142631
-
On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients
-
L. Rifford, “On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients,” ESAIM. Control, Optimiz. Calculus Variations, vol. 6, pp. 593–611, 2001.
-
(2001)
ESAIM. Control, Optimiz. Calculus Variations
, vol.6
, pp. 593-611
-
-
Rifford, L.1
-
94
-
-
0027736220
-
Remarks on control Lyapunov functions for discontinuous stabilizing feedback
-
San Antonio, TX
-
G.A. Lafferriere and E.D. Sontag, “Remarks on control Lyapunov functions for discontinuous stabilizing feedback,” in Proc. IEEE Conf. Decision and Control, San Antonio, TX, 1993, pp. 306–308.
-
(1993)
Proc. IEEE Conf. Decision and Control
, pp. 306-308
-
-
Lafferriere, G.A.1
Sontag, E.D.2
-
95
-
-
0038537294
-
Semiconcave control-Lyapunov functions and stabilizing feedbacks
-
L. Rifford, “Semiconcave control-Lyapunov functions and stabilizing feedbacks,” SIAM J. Control Optimiz., vol. 41, no. 3, pp. 659–681, 2002.
-
(2002)
SIAM J. Control Optimiz.
, vol.41
, Issue.3
, pp. 659-681
-
-
Rifford, L.1
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