-
1
-
-
0004178386
-
-
2nd ed. New York: Macmillan
-
H. Khalil, Nonlinear Systems, 2nd ed. New York: Macmillan, 1996.
-
(1996)
Nonlinear Systems
-
-
Khalil, H.1
-
2
-
-
0035704563
-
"Relaxed persistency of excitation for uniform asymptotic stability"
-
Dec
-
E. Panteley, A. Loría, and A. Teel, "Relaxed persistency of excitation for uniform asymptotic stability," IEEE Trans. Autom. Control, vol. 46, no. 12, pp. 1874-1886, Dec. 2001
-
(2001)
IEEE Trans. Autom. Control
, vol.46
, Issue.12
, pp. 1874-1886
-
-
Panteley, E.1
Loría, A.2
Teel, A.3
-
3
-
-
14644387430
-
"Ordinary differential equations"
-
New York: Wiley
-
J. Hale, "Ordinary differential equations," in Interscience. New York: Wiley, 1969.
-
(1969)
Interscience
-
-
Hale, J.1
-
6
-
-
0001374626
-
"Controllability and stability"
-
V. Jurdjević and J. P. Quinn, "Controllability and stability," J. Diff. Equat., vol. 28, pp. 381-389, 1978.
-
(1978)
J. Diff. Equat.
, vol.28
, pp. 381-389
-
-
Jurdjević, V.1
Quinn, J.P.2
-
7
-
-
0001274382
-
"Systèmes d'équations différentielles d'oscillations nonlinéaires"
-
I. Barbǎlat, "Systèmes d'équations différentielles d'oscillations nonlinéaires," Revue de Mathématiques Pures et Appliquées, vol. 4, no. 2, pp. 267-270, 1959.
-
(1959)
Revue De Mathématiques Pures Et Appliquées
, vol.4
, Issue.2
, pp. 267-270
-
-
Barbǎlat, I.1
-
9
-
-
0001904712
-
-
J. K. Hale and J. P. La Salle, Eds. New York: Academic, ch. Differential Equations and Dynamical Systems
-
J. P. La Salle, An Invariance Principle in the Theory of Stability J. K. Hale and J. P. La Salle, Eds. New York: Academic, 1967, ch. Differential Equations and Dynamical Systems.
-
(1967)
An Invariance Principle in the Theory of Stability
-
-
La Salle, J.P.1
-
11
-
-
0002153562
-
Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations
-
J. P. La Salle, Ed. Philadelphia, PA: SIAM, ch. Appendix A in Stability of Dynamical Systems
-
Z. Artstein, Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations, J. P. La Salle, Ed. Philadelphia, PA: SIAM, 1976, ch. Appendix A in Stability of Dynamical Systems.
-
(1976)
-
-
Artstein, Z.1
-
12
-
-
0001255253
-
"Uniform asymptotic stability via the limiting equations"
-
Z. Artstein, "Uniform asymptotic stability via the limiting equations," J. Diff. Equat., vol. 27, pp. 172-189, 1978.
-
(1978)
J. Diff. Equat.
, vol.27
, pp. 172-189
-
-
Artstein, Z.1
-
13
-
-
0035707616
-
"A general invariance principle for nonlinear time-varying systems"
-
Dec
-
T. C. Lee, D.-C. Liaw, and B. S. Chen, "A general invariance principle for nonlinear time-varying systems," IEEE Trans. Autom. Control, vol. 46, no. 12, pp. 1989-1993, Dec. 2001
-
(2001)
IEEE Trans. Autom. Control
, vol.46
, Issue.12
, pp. 1989-1993
-
-
Lee, T.C.1
Liaw, D.-C.2
Chen, B.S.3
-
14
-
-
0036576887
-
"A general stability criterion for time-varying systems using a modified detectability condition"
-
May
-
T. C. Lee and B. S. Chen, "A general stability criterion for time-varying systems using a modified detectability condition," IEEE Trans. Autom. Control, vol. 47, no. 5, pp. 797-802, May 2002.
-
(2002)
IEEE Trans. Autom. Control
, vol.47
, Issue.5
, pp. 797-802
-
-
Lee, T.C.1
Chen, B.S.2
-
15
-
-
0142246811
-
"On the equivalence relations of detectability and PE conditions with applications to stability analysis of time-varying systems"
-
Jun
-
T. C. Lee, "On the equivalence relations of detectability and PE conditions with applications to stability analysis of time-varying systemss," in Proc. Amer. Control Conf., Jun. 2003, pp. 1873-1878.
-
(2003)
Proc. Amer. Control Conf.
, pp. 1873-1878
-
-
Lee, T.C.1
-
16
-
-
85128553999
-
"Limit systems and attractivity for time-varying systems with applications to nonholonomic systems"
-
presented at the 42nd. IEEE Conf. Decision Control, Maui, HI
-
T. C. Lee, "Limit systems and attractivity for time-varying systems with applications to nonholonomic systems," presented at the 42nd. IEEE Conf. Decision Control, Maui, HI, 2003.
-
(2003)
-
-
Lee, T.C.1
-
17
-
-
49749205421
-
"On the stability of motion"
-
V. M. Matrosov, "On the stability of motion," J. Appl. Math. Mech. vol. 26, pp. 1337-1353, 1962.
-
(1962)
J. Appl. Math. Mech.
, vol.26
, pp. 1337-1353
-
-
Matrosov, V.M.1
-
19
-
-
0024032079
-
"Globally asymptotically stable P D+ controller for robot manipulators"
-
B. Paden and R. Panja, "Globally asymptotically stable P D+ controller for robot manipulators," Int. J. Control, vol. 47, pp. 1697-1712, 1988.
-
(1988)
Int. J. Control
, vol.47
, pp. 1697-1712
-
-
Paden, B.1
Panja, R.2
-
20
-
-
0027202852
-
"Global adaptive output feedback control of nonlinear systems. Part I: Linear parameterization"
-
Jan
-
R. Marino and P. Tomei, "Global adaptive output feedback control of nonlinear systems. Part I: Linear parameterization," IEEE Trans. Autom. Control, vol. 38, no. 1, pp. 17-32, Jan. 1993.
-
(1993)
IEEE Trans. Autom. Control
, vol.38
, Issue.1
, pp. 17-32
-
-
Marino, R.1
Tomei, P.2
-
21
-
-
14644395449
-
"On the control of flexible joint robots by dynamic output feedback"
-
Capri, Italy
-
S. Nicosia and P. Tomei, "On the control of flexible joint robots by dynamic output feedback," in Proc. 4th. Symp. Robot Control, Capri, Italy, 1994, pp. 717-722.
-
(1994)
Proc. 4th. Symp. Robot Control
, pp. 717-722
-
-
Nicosia, S.1
Tomei, P.2
-
22
-
-
14644414736
-
"Attractivity of certain sets proved by using several Liapunov functions"
-
New York: Academic
-
N. Rouche, "Attractivity of certain sets proved by using several Liapunov functions," in Symposia Matematica. New York: Academic, 1971, vol. 6, pp. 331-343.
-
(1971)
Symposia Matematica
, vol.6
, pp. 331-343
-
-
Rouche, N.1
-
23
-
-
14644392088
-
"On the stability of motion"
-
N. Rouche,"On the stability of motion," Int. J. Nonlinear Mech., vol. 3, pp. 295-306, 1968.
-
(1968)
Int. J. Nonlinear Mech.
, vol.3
, pp. 295-306
-
-
Rouche, N.1
-
24
-
-
0006456423
-
"Attractivity of closed sets proved by using a family of Lyapunov functions"
-
J. L. Corne and N. Rouche, "Attractivity of closed sets proved by using a family of Lyapunov functions," J. Diff. Equat., vol. 13, pp. 231-246, 1973.
-
(1973)
J. Diff. Equat.
, vol.13
, pp. 231-246
-
-
Corne, J.L.1
Rouche, N.2
-
25
-
-
0036041249
-
"Integral characterizations of uniform asymptotic and exponential stability with applications"
-
A. Teel, E. Panteley, and A. Loría, "Integral characterizations of uniform asymptotic and exponential stability with applications," Math. Control Signals Syst., vol. 15, pp. 177-201, 2002.
-
(2002)
Math. Control Signals Syst.
, vol.15
, pp. 177-201
-
-
Teel, A.1
Panteley, E.2
Loría, A.3
-
26
-
-
0037293273
-
"Strict Lyapunov functions for time-varying systems"
-
F. Mazenc, "Strict Lyapunov functions for time-varying systems," Automatica, vol. 39, pp. 349-353, 2003.
-
(2003)
Automatica
, vol.39
, pp. 349-353
-
-
Mazenc, F.1
-
27
-
-
0000011589
-
"Contributions to the theory of optimal control"
-
R. E. Kalman, "Contributions to the theory of optimal control," Bol. Soc. Mat. Mexicana, vol. 5, pp. 102-119, 1960.
-
(1960)
Bol. Soc. Mat. Mexicana
, vol.5
, pp. 102-119
-
-
Kalman, R.E.1
-
28
-
-
0002182664
-
"Numerical identification of linear dynamic systems from normal operating records"
-
P. H. Hammond, Ed., Teddington, U.K
-
K. J. Åström and T. Bohlin, "Numerical identification of linear dynamic systems from normal operating records," in Proc. 2nd IFAC Symp. Theory of Self-Adaptive Control Systems, P. H. Hammond, Ed., Teddington, U.K., 1965, pp. 96-111.
-
(1965)
Proc. 2nd IFAC Symp. Theory of Self-Adaptive Control Systems
, pp. 96-111
-
-
Åström, K.J.1
Bohlin, T.2
-
29
-
-
0017453462
-
"Exponential stability of linear equations arising in adaptive identification"
-
Jan
-
B. O. Anderson, "Exponential stability of linear equations arising in adaptive identification," IEEE Trans. Autom. Control, vol. AC-22, no. 1, pp. 83-88, Jan. 1977.
-
(1977)
IEEE Trans. Autom. Control
, vol.AC-22
, Issue.1
, pp. 83-88
-
-
Anderson, B.O.1
-
30
-
-
0001862109
-
"On the uniform asymptotic stability of certain linear nonautonomous differential equations"
-
A. P. Morgan and K. S. Narendra, "On the uniform asymptotic stability of certain linear nonautonomous differential equations," SIAM J. Control Optim., vol. 15, no. 1, pp. 5-24, 1977.
-
(1977)
SIAM J. Control Optim.
, vol.15
, Issue.1
, pp. 5-24
-
-
Morgan, A.P.1
Narendra, K.S.2
-
33
-
-
0031677211
-
"Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria"
-
D. Aeyels, R. Sepulchre, and J. Peuteman, "Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria," Math. Control Signals Syst., vol. 11, pp. 1-27, 1998.
-
(1998)
Math. Control Signals Syst.
, vol.11
, pp. 1-27
-
-
Aeyels, D.1
Sepulchre, R.2
Peuteman, J.3
-
34
-
-
0000930952
-
"Stability, observability and invariance"
-
Z. Artstein, "Stability, observability and invariance," J. Diff. Equat., vol. 44, pp. 224-248, 1982.
-
(1982)
J. Diff. Equat.
, vol.44
, pp. 224-248
-
-
Artstein, Z.1
-
35
-
-
0004014465
-
-
Cambridge, MA: MIT Press
-
B. D. O. Anderson, R. Bitmead, C. Johnson Jr, P. Kokotović, R. Kosut, I. Mareels, L. Praly, and B. Riedle, Stability of Adaptive Systems Cambridge, MA: MIT Press, 1986.
-
(1986)
Stability of Adaptive Systems
-
-
Anderson, B.D.O.1
Bitmead, R.2
Johnson Jr., C.3
Kokotović, P.4
Kosut, R.5
Mareels, I.6
Praly, L.7
Riedle, B.8
-
36
-
-
0032594206
-
"Adaptation in the prescence of a general nonlinear parameterization: An error model approach"
-
Sep
-
A. P. Loh, A. M. Annaswamy, and F. P. Skantze, "Adaptation in the prescence of a general nonlinear parameterization: An error model approach," IEEE Trans. Autom. Control, vol. 44, no. 9, pp. 1634-1653, Sep. 1999.
-
(1999)
IEEE Trans. Autom. Control
, vol.44
, Issue.9
, pp. 1634-1653
-
-
Loh, A.P.1
Annaswamy, A.M.2
Skantze, F.P.3
-
37
-
-
0003259876
-
"A new persistency-of-excitation condition for UGAS of NLTV systems: Application to stabilization of nonholonomic systems"
-
Paper no. 500
-
A. Loría, E. Panteley, and A. Teel, "A new persistency-of-excitation condition for UGAS of NLTV systems: Application to stabilization of nonholonomic systems," in Proc. 5th. Eur. Control Conf., 1999, Paper no. 500.
-
(1999)
Proc. 5th. Eur. Control Conf.
-
-
Loría, A.1
Panteley, E.2
Teel, A.3
-
38
-
-
14644394195
-
Persistency of excitation for uniform convergence in nonlinear control systems
-
Univ. California, Davis, CA. [Online]
-
A. Loría, E. Panteley, D. Popović, and A. R. Teel, (2003) Persistency of excitation for uniform convergence in nonlinear control systems. Univ. California, Davis, CA. [Online]. Available: http://front.math.ucdavis.edu/math.OC/0301335
-
(2003)
-
-
Loría, A.1
Panteley, E.2
Popović, D.3
Teel, A.R.4
-
39
-
-
14644430271
-
Matrosov's theorem using a family of auxiliary functions: An analysis tool to aid time-varying nonlinear control design
-
Univ. California, Davis, CA. [Online]
-
A. Loría, E. Panteley, D. Popović, and A. R. Teel, (2003) Matrosov's theorem using a family of auxiliary functions: An analysis tool to aid time-varying nonlinear control design. Univ. California, Davis, CA. [Online]. Available: http://front.math.ucdavis.edu/math.OC/ 0304255
-
(2003)
-
-
Loría, A.1
Panteley, E.2
Popović, D.3
Teel, A.R.4
-
40
-
-
84949105606
-
"Control of port-interconnected driftless time-varying systems"
-
presented at the 7th. Eur. Control Conf., Cambridge, U.K. Paper 554
-
A. Teel, A. Loría, E. Panteley, and D. Popović, "Control of port-interconnected driftless time-varying systems," presented at the 7th. Eur. Control Conf., Cambridge, U.K., 2003, Paper 554.
-
(2003)
-
-
Teel, A.1
Loría, A.2
Panteley, E.3
Popović, D.4
-
43
-
-
0033705513
-
"On assigning the derivative of a disturbance attenuation control Lyapunov function"
-
A. R. Teel and L. Praly, "On assigning the derivative of a disturbance attenuation control Lyapunov function," Math. Control Signals Syst. vol. 13, pp. 95-124, 2000.
-
(2000)
Math. Control Signals Syst.
, vol.13
, pp. 95-124
-
-
Teel, A.R.1
Praly, L.2
-
44
-
-
0000145973
-
"On the stability of nonautonomous differential equations x = A + B(t)x with skew-symmetric matrix B(t)"
-
A. P. Morgan and K. S. Narendra, "On the stability of nonautonomous differential equations x = A + B(t)x with skew-symmetric matrix B(t)," SIAM J. Control Optim., vol. 15, no. 1, pp. 163-176, 1977.
-
(1977)
SIAM J. Control Optim.
, vol.15
, Issue.1
, pp. 163-176
-
-
Morgan, A.P.1
Narendra, K.S.2
-
46
-
-
45249125931
-
"Adaptive motion control of rigid robots: A tutorial"
-
6
-
R. Ortega and M. Spong, "Adaptive motion control of rigid robots: A tutorial," Automatica, vol. 25-6, pp. 877-888, 1989.
-
(1989)
Automatica
, vol.25
, pp. 877-888
-
-
Ortega, R.1
Spong, M.2
-
47
-
-
0029234888
-
"Control of chained system: Application to path following and time-varying point stabilization of mobile robots"
-
Jan
-
C. Samson, "Control of chained system: Application to path following and time-varying point stabilization of mobile robots," IEEE Trans. Autom. Control, vol. 40, no. 1, pp. 64-77, Jan. 1995.
-
(1995)
IEEE Trans. Autom. Control
, vol.40
, Issue.1
, pp. 64-77
-
-
Samson, C.1
-
48
-
-
0000069422
-
"Iterative design of time-varying stabilizers for multi-input systems in chained form"
-
Z. P. Jiang, "Iterative design of time-varying stabilizers for multi-input systems in chained form," Syst. Control Lett., vol. 28, pp. 255-262, 1996.
-
(1996)
Syst. Control Lett.
, vol.28
, pp. 255-262
-
-
Jiang, Z.P.1
-
49
-
-
14644425867
-
"Integral characterizations of set UGAS/UGES with applications to Matrosov's theorem"
-
presented at the IFAC NOLCOS, St. Petersburg, Russia, July, Paper 214
-
A. Teel, E. Panteley, and A. Loria, "Integral characterizations of set UGAS/UGES with applications to Matrosov's theorem," presented at the IFAC NOLCOS, St. Petersburg, Russia, July 2001, Paper 214.
-
(2001)
-
-
Teel, A.1
Panteley, E.2
Loria, A.3
-
50
-
-
0025419076
-
"Global stabilization of nonlinear cascaded systems"
-
P. Seibert and R. Suárez, "Global stabilization of nonlinear cascaded systems," Syst. Control Lett., vol. 14, pp. 347-352, 1990.
-
(1990)
Syst. Control Lett.
, vol.14
, pp. 347-352
-
-
Seibert, P.1
Suárez, R.2
-
51
-
-
0024930751
-
"Remarks on stabilization and input-to-state stability"
-
Tampa, FL
-
E. D. Sontag, "Remarks on stabilization and input-to-state stability," in Proc. 28th. IEEE Conf. Decision Control, Tampa, F1, 1989, pp. 1376-1378.
-
(1989)
Proc. 28th. IEEE Conf. Decision Control
, pp. 1376-1378
-
-
Sontag, E.D.1
-
52
-
-
0035284097
-
"Growth rate conditions for stability of cascaded time-varying systems"
-
E. Panteley and A. Loria, "Growth rate conditions for stability of cascaded time-varying systems," Automatica, vol. 37, no. 3, pp. 453-460, 2001.
-
(2001)
Automatica
, vol.37
, Issue.3
, pp. 453-460
-
-
Panteley, E.1
Loria, A.2
-
53
-
-
0026254997
-
"Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems"
-
Nov
-
C. Byrnes, A. Isidori, and J. C. Willems, "Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems," IEEE Trans. Autom. Control, vol. 36, no. 11, pp. 1228-1240, Nov. 1991.
-
(1991)
IEEE Trans. Autom. Control
, vol.36
, Issue.11
, pp. 1228-1240
-
-
Byrnes, C.1
Isidori, A.2
Willems, J.C.3
-
54
-
-
0023120028
-
"Persistent excitation in adaptive systems"
-
K. Narendra and A. Annaswamy, "Persistent excitation in adaptive systems," Int. J. Control, vol. 45, no. 1, pp. 127-160, 1987.
-
(1987)
Int. J. Control
, vol.45
, Issue.1
, pp. 127-160
-
-
Narendra, K.1
Annaswamy, A.2
-
55
-
-
0001215663
-
"Asymptotic stability and feedback stabilization"
-
R. S. M. R. W. Brocket and H. J. Sussmann, Eds. Norwell, MA: Birkhäuser
-
R. Brockett, "Asymptotic stability and feedback stabilization," in Differential Geometric Control Theory, R. S. M. R. W. Brocket and H. J. Sussmann, Eds. Norwell, MA: Birkhäuser, 1983, pp. 181-191.
-
(1983)
Differential Geometric Control Theory
, pp. 181-191
-
-
Brockett, R.1
-
56
-
-
0029547674
-
"Developments in nonholonomic control problems"
-
Dec
-
I. Kolmanovsky and H. McClamroch, "Developments in nonholonomic control problems," Control Syst. Mag., pp. 20-36, Dec. 1995.
-
(1995)
Control Syst. Mag.
, pp. 20-36
-
-
Kolmanovsky, I.1
McClamroch, H.2
-
57
-
-
0003846768
-
"Tracking control of nonlinear mechanical systems"
-
Ph.D. dissertation, Univ. Twente, Enschede, The Netherlands
-
A. A. J. Lefeber, "Tracking control of nonlinear mechanical systems," Ph.D. dissertation, Univ. Twente, Enschede, The Netherlands, 2000.
-
(2000)
-
-
Lefeber, A.A.J.1
-
58
-
-
0033078293
-
"A recursive technique for tracking of nonholonomic systems"
-
Feb
-
Z. P. Jiang and H. Nijmeijer, "A recursive technique for tracking of nonholonomic systems," IEEE Trans. Autom. Control, vol. 44, no. 2, pp. 265-279, Feb. 1999.
-
(1999)
IEEE Trans. Autom. Control
, vol.44
, Issue.2
, pp. 265-279
-
-
Jiang, Z.P.1
Nijmeijer, H.2
-
59
-
-
0036334815
-
"A characterization of the Lie algebra rank condition by transverse periodic functions"
-
P. Morin and C. Samson, "A characterization of the Lie algebra rank condition by transverse periodic functions," SIAM J. Control Optim. vol. 40, no. 4, pp. 1227-1249, 2002.
-
(2002)
SIAM J. Control Optim.
, vol.40
, Issue.4
, pp. 1227-1249
-
-
Morin, P.1
Samson, C.2
-
60
-
-
0037110895
-
"Universal controllers for stabilization and tracking of underactuated ships"
-
K. D. Do, Z. P. Jiang, and J. Pari, "Universal controllers for stabilization and tracking of underactuated ships," Syst. Control Lett., vol. 47, pp. 299-317, 2002.
-
(2002)
Syst. Control Lett.
, vol.47
, pp. 299-317
-
-
Do, K.D.1
Jiang, Z.P.2
Pari, J.3
-
61
-
-
4244091084
-
"UGAS of skew-symmetric time-varying systems: Application to stabilization of chained form systems"
-
A. Loría, E. Panteley, and K. Melhem, "UGAS of skew-symmetric time-varying systems: Application to stabilization of chained form systems," Eur. J. Control, vol. 8, no. 1, pp. 33-43, 2002.
-
(2002)
Eur. J. Control
, vol.8
, Issue.1
, pp. 33-43
-
-
Loría, A.1
Panteley, E.2
Melhem, K.3
-
62
-
-
0242270733
-
"Robust stabilization of chained systems via hybrid control"
-
Oct
-
C. Prieur and A. Astolfi, "Robust stabilization of chained systems via hybrid control," IEEE Trans. Autom. Control, vol. 48, no. 10, pp. 1768-1772, Oct. 2003.
-
(2003)
IEEE Trans. Autom. Control
, vol.48
, Issue.10
, pp. 1768-1772
-
-
Prieur, C.1
Astolfi, A.2
-
63
-
-
3042641747
-
"Strong Lyapunov functions for systems satisfying the conditions of La Salle"
-
Jun
-
F. Mazenc and D. Nesic, "Strong Lyapunov functions for systems satisfying the conditions of La Salle," IEEE Trans. Autom. Control vol. 49, no. 6, pp. 1026-1030, Jun. 2004.
-
(2004)
IEEE Trans. Autom. Control
, vol.49
, Issue.6
, pp. 1026-1030
-
-
Mazenc, F.1
Nesic, D.2
|