-
1
-
-
0007981619
-
Compactness for sub-Riemannian length-minimizers and subanalyticity
-
A. AGRACHEV, Compactness for sub-Riemannian length-minimizers and subanalyticity, Rend. Sem. Mat. Univ. Politec. Torino, 56 (1998), pp. 1-12.
-
(1998)
Rend. Sem. Mat. Univ. Politec. Torino
, vol.56
, pp. 1-12
-
-
AGRACHEV, A.1
-
5
-
-
0141869049
-
Flow stability of patchy vector fields and robust feedback stabilization
-
F. ANCONA AND A. BRESSAN, Flow stability of patchy vector fields and robust feedback stabilization, SIAM J. Control Optim., 41 (2003), pp. 1455-1476.
-
(2003)
SIAM J. Control Optim
, vol.41
, pp. 1455-1476
-
-
ANCONA, F.1
BRESSAN, A.2
-
7
-
-
0031126467
-
Global stability and external stability of dynamical systems
-
V. ANDRIAN, A. BACCIOTTI, AND G. BECCARI, Global stability and external stability of dynamical systems, Nonlinear Anal., 28 (1997), pp. 1167-1185.
-
(1997)
Nonlinear Anal
, vol.28
, pp. 1167-1185
-
-
ANDRIAN, V.1
BACCIOTTI, A.2
BECCARI, G.3
-
8
-
-
0031631798
-
Discontinuous control of the Brockett integrator
-
A. ASTOLFI, Discontinuous control of the Brockett integrator, European J. Control, 4 (1998), pp. 49-53.
-
(1998)
European J. Control
, vol.4
, pp. 49-53
-
-
ASTOLFI, A.1
-
9
-
-
1842449635
-
Nonsmooth optimal regulation and discontinuous stabilization
-
A. BACCIOTTI AND F. CERAGIOLI, Nonsmooth optimal regulation and discontinuous stabilization, Abstr. Appl. Anal., 20 (2003), pp. 1159-1195.
-
(2003)
Abstr. Appl. Anal
, vol.20
, pp. 1159-1195
-
-
BACCIOTTI, A.1
CERAGIOLI, F.2
-
10
-
-
0002299746
-
The tangent space in sub-Riemannian geometry
-
Birkhäuser, Basel
-
A. BELLAÏCHE, The tangent space in sub-Riemannian geometry, in Sub-Riemannian Geometry, Birkhäuser, Basel, 1996, pp. 1-78.
-
(1996)
Sub-Riemannian Geometry
, pp. 1-78
-
-
BELLAÏCHE, A.1
-
12
-
-
34547510460
-
Second order optimality conditions in the smooth case and applications in optimal control, ESAIM Control Optim. Cale. Var
-
to appear
-
B. BONNARD, J.-B. CAILLAU, AND E. TRÉ LAT, Second order optimality conditions in the smooth case and applications in optimal control, ESAIM Control Optim. Cale. Var. (2006), to appear.
-
(2006)
-
-
BONNARD, B.1
CAILLAU, J.-B.2
TRÉ LAT, E.3
-
13
-
-
12344307308
-
The Role of Singular Trajectories in Control Theory, Math
-
Springer-Verlag, Berlin
-
B. BONNARD AND M. CHYBA, The Role of Singular Trajectories in Control Theory, Math. Monograph, Springer-Verlag, Berlin, 2003.
-
(2003)
Monograph
-
-
BONNARD, B.1
CHYBA, M.2
-
14
-
-
0032047505
-
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
-
M. S. BRANICKY, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Control, 43 (1998), pp. 475-482.
-
(1998)
IEEE Trans. Automat. Control
, vol.43
, pp. 475-482
-
-
BRANICKY, M.S.1
-
16
-
-
0001215663
-
Asymptotic stability and feedback stabilization
-
Theory, R. W. Brockett, R. S. Millman, and H. J. Sussmann, eds, Birkhäuser, Boston
-
R. W. BROCKETT, Asymptotic stability and feedback stabilization, in Differential Geometric Control Theory, R. W. Brockett, R. S. Millman, and H. J. Sussmann, eds., Birkhäuser, Boston, 1983, pp. 181-191.
-
(1983)
Differential Geometric Control
, pp. 181-191
-
-
BROCKETT, R.W.1
-
17
-
-
0042205053
-
Propriétés génériques des trajectoires singulières
-
Y. CHITOUR, F. JEAN, AND E. TRÉLAT, Propriétés génériques des trajectoires singulières, C. R. Math. Acad. Sci. Paris, 337 (2003), pp. 49-52.
-
(2003)
C. R. Math. Acad. Sci. Paris
, vol.337
, pp. 49-52
-
-
CHITOUR, Y.1
JEAN, F.2
TRÉLAT, E.3
-
18
-
-
33745442819
-
Genericity properties for singular trajectories
-
Y. CHITOUR, F. JEAN, AND E. TRÉLAT, Genericity properties for singular trajectories, J. Differential Geom., 73 (2006), pp. 45-73.
-
(2006)
J. Differential Geom
, vol.73
, pp. 45-73
-
-
CHITOUR, Y.1
JEAN, F.2
TRÉLAT, E.3
-
19
-
-
0034458934
-
Feedback stabilization and Lyapunov functions
-
F. H. CLARKE, YU. S. LEDYAEV, L. RIFFORD, AND R. J. STERN, Feedback stabilization and Lyapunov functions, SIAM J. Control Optim, 39 (2000), pp. 25-48.
-
(2000)
SIAM J. Control Optim
, vol.39
, pp. 25-48
-
-
CLARKE, F.H.1
LEDYAEV, Y.S.2
RIFFORD, L.3
STERN, R.J.4
-
20
-
-
0031145089
-
Exponential stabilization of driftless nonlinear control systems using homogeneous feedback
-
R. T. CLOSKEY AND R. M. MURRAY, Exponential stabilization of driftless nonlinear control systems using homogeneous feedback, IEEE Trans. Automat. Control, 42 (1997), pp. 614-628.
-
(1997)
IEEE Trans. Automat. Control
, vol.42
, pp. 614-628
-
-
CLOSKEY, R.T.1
MURRAY, R.M.2
-
21
-
-
0026626117
-
Global asymptotic stabilization for controllable systems without drift
-
J.-M. CORON, Global asymptotic stabilization for controllable systems without drift, Math. Control Signals Systems, 5 (1992), pp. 295-312.
-
(1992)
Math. Control Signals Systems
, vol.5
, pp. 295-312
-
-
CORON, J.-M.1
-
22
-
-
0142199373
-
-
C. D'APICE, M. GARAVELLO, R. MANZO, AND B. PICCOLI, Hybrid optimal control: Case study of a car with gears, Internat. J. Control, 76 (2003), pp. 1272-1284.
-
C. D'APICE, M. GARAVELLO, R. MANZO, AND B. PICCOLI, Hybrid optimal control: Case study of a car with gears, Internat. J. Control, 76 (2003), pp. 1272-1284.
-
-
-
-
23
-
-
0000274906
-
Geometric categories and o-minimal structures
-
L. VAN DEN DRIES AND C. MILLER, Geometric categories and o-minimal structures, Duke Math. J., 84 (1996), pp. 497-540.
-
(1996)
Duke Math. J
, vol.84
, pp. 497-540
-
-
VAN, L.1
DRIES, D.2
MILLER, C.3
-
25
-
-
33144463923
-
Solutions to hybrid inclusions via set and graphical convergence with stability theory applications
-
R. GOEBEL AND A. R. TEEL, Solutions to hybrid inclusions via set and graphical convergence with stability theory applications, Automatica, 42 (2006), pp. 513-696.
-
(2006)
Automatica
, vol.42
, pp. 513-696
-
-
GOEBEL, R.1
TEEL, A.R.2
-
26
-
-
85049442043
-
Hybrid systems: Generalized solutions and robust stability
-
Stuttgart, Germany
-
R. GOEBEL, J. HESPANHA, A. R. TEEL, C. CAI, AND R. SANFELICE, Hybrid systems: Generalized solutions and robust stability, in Proceedings of the IFAC Symposium on Nonlinear Control Systems, Stuttgart, Germany, 2004.
-
(2004)
Proceedings of the IFAC Symposium on Nonlinear Control Systems
-
-
GOEBEL, R.1
HESPANHA, J.2
TEEL, A.R.3
CAI, C.4
SANFELICE, R.5
-
27
-
-
0000890467
-
Stratification of real analytic mappings and images
-
R. M. HARDT, Stratification of real analytic mappings and images, Invent. Math., 28 (1975), pp. 193-208.
-
(1975)
Invent. Math
, vol.28
, pp. 193-208
-
-
HARDT, R.M.1
-
28
-
-
0002436377
-
Subanalytic sets
-
Kinokuniya, Tokyo
-
H. HIRONAKA, Subanalytic sets, in Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo, 1973, pp. 453-493.
-
(1973)
Number Theory, Algebraic Geometry and Commutative Algebra, in honor of Y. Akizuki
, pp. 453-493
-
-
HIRONAKA, H.1
-
29
-
-
0029547674
-
Developments in nonholonomic control problems
-
I. KOLMANOVSKY AND N. H. MCCLAMROCH, Developments in nonholonomic control problems, IEEE Control Systems, 15 (1995), pp. 20-36.
-
(1995)
IEEE Control Systems
, vol.15
, pp. 20-36
-
-
KOLMANOVSKY, I.1
MCCLAMROCH, N.H.2
-
31
-
-
0033708089
-
Stabilization of linear differential systems via hybrid feedback controls
-
E. LITSYN, Y. V. NEPOMNYASHCHIKH, AND A. PONOSOV, Stabilization of linear differential systems via hybrid feedback controls, SIAM J. Control Optim., 38 (2000), pp. 1468-1480.
-
(2000)
SIAM J. Control Optim
, vol.38
, pp. 1468-1480
-
-
LITSYN, E.1
NEPOMNYASHCHIKH, Y.V.2
PONOSOV, A.3
-
32
-
-
0037252690
-
Dynamical properties of hybrid automata
-
J. LYGEROS, K. H. JOHANSSON, S. N. SIMIC, J. ZHANG, AND S. S. SASTRY, Dynamical properties of hybrid automata, IEEE Trans. Automat. Control, 48 (2003), pp. 2-17.
-
(2003)
IEEE Trans. Automat. Control
, vol.48
, pp. 2-17
-
-
LYGEROS, J.1
JOHANSSON, K.H.2
SIMIC, S.N.3
ZHANG, J.4
SASTRY, S.S.5
-
33
-
-
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., 40 (2001), pp. 1227-1249.
-
(2001)
SIAM J. Control Optim
, vol.40
, pp. 1227-1249
-
-
MORIN, P.1
SAMSON, C.2
-
34
-
-
0033276566
-
Exponential stabilization of nonlinear driftless systems with robustness to unmodeled dynamics
-
P. MORIN AND C. SAMSON, Exponential stabilization of nonlinear driftless systems with robustness to unmodeled dynamics, ESAIM Cont. Optim. Calc. Var., 4 (1999), pp. 1-35.
-
(1999)
ESAIM Cont. Optim. Calc. Var
, vol.4
, pp. 1-35
-
-
MORIN, P.1
SAMSON, C.2
-
35
-
-
0032065713
-
-
SBA Cont. Aut, 9 1998, pp
-
B. PICCOLI, F. M. PAIT, AND A. BITTAR, A hybrid controller for a nonholonomic system, SBA Cont. Aut., 9 (1998), pp. 85-89.
-
A hybrid controller for a nonholonomic system
, pp. 85-89
-
-
PICCOLI, B.1
PAIT, F.M.2
BITTAR, A.3
-
36
-
-
0003716450
-
-
Interscience Publishers, John Wiley & Sons, New York
-
L. S. PONTRYAGIN, V. G. BOLTYANSKIJ, R. V. GAMKRELIDZE, AND E. F. MISHCHENKO, The Mathematical Theory of Optimal Processes, Interscience Publishers, John Wiley & Sons, New York, 1962.
-
(1962)
The Mathematical Theory of Optimal Processes
-
-
PONTRYAGIN, L.S.1
BOLTYANSKIJ, V.G.2
GAMKRELIDZE, R.V.3
MISHCHENKO, E.F.4
-
37
-
-
0034855185
-
Uniting local and global controllers with robustness to vanishing noise
-
C. PRIEUR, Uniting local and global controllers with robustness to vanishing noise, Math. Con-trol Signals Systems, 14 (2001), pp. 143-172.
-
(2001)
Math. Con-trol Signals Systems
, vol.14
, pp. 143-172
-
-
PRIEUR, C.1
-
38
-
-
23044448230
-
Asymptotic controllability and robust asymptotic stabilizability
-
C. PRIEUR, Asymptotic controllability and robust asymptotic stabilizability, SIAM J. Control Optim., 43 (2005), pp. 1888-1912.
-
(2005)
SIAM J. Control Optim
, vol.43
, pp. 1888-1912
-
-
PRIEUR, C.1
-
39
-
-
0242270733
-
Robust stabilization of chained systems via hybrid control
-
C. PRIEUR AND A. ASTOLFI, Robust stabilization of chained systems via hybrid control, IEEE Trans. Automat. Control, 48 (2003), pp. 1768-1772.
-
(2003)
IEEE Trans. Automat. Control
, vol.48
, pp. 1768-1772
-
-
PRIEUR, C.1
ASTOLFI, A.2
-
40
-
-
33745784418
-
Results on robust stabilization of asymptotically controllable systems by hybrid feedback
-
Seville, Spain
-
C. PRIEUR, R. GOEBEL, AND A. TEEL, Results on robust stabilization of asymptotically controllable systems by hybrid feedback, in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC'05), Seville, Spain, 2005, pp. 2598-2603.
-
(2005)
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC'05)
, pp. 2598-2603
-
-
PRIEUR, C.1
GOEBEL, R.2
TEEL, A.3
-
41
-
-
23044440185
-
Robust optimal stabilization of the Brockett integrator via a hybrid feedback
-
C. PRIEUR AND E. TRÉLAT, Robust optimal stabilization of the Brockett integrator via a hybrid feedback, Math. Control Signals Systems, 17 (2005), pp. 201-216.
-
(2005)
Math. Control Signals Systems
, vol.17
, pp. 201-216
-
-
PRIEUR, C.1
TRÉLAT, E.2
-
42
-
-
33847211743
-
Semi-global minimal time hybrid robust stabilization of analytic driftless control-affine systems
-
Seville, Spain
-
C. PRIEUR AND E. TRÉLAT, Semi-global minimal time hybrid robust stabilization of analytic driftless control-affine systems, in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC'05), Seville, Spain, 2005, pp. 5438-5443.
-
(2005)
Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC'05)
, pp. 5438-5443
-
-
PRIEUR, C.1
TRÉLAT, E.2
-
43
-
-
23044491053
-
The stabilization problem: AGAS and SRS feedbacks
-
Lectures Notes in Control and Inform. Sci. 301, Springer-Verlag, Heidelberg
-
L. RIFFORD, The stabilization problem: AGAS and SRS feedbacks, in Optimal Control, Stabilization, and Nonsmooth Analysis, Lectures Notes in Control and Inform. Sci. 301, Springer-Verlag, Heidelberg, 2004, pp. 173-184.
-
(2004)
Optimal Control, Stabilization, and Nonsmooth Analysis
, pp. 173-184
-
-
RIFFORD, L.1
-
44
-
-
17444430784
-
Morse-Sard type results in sub-Riemannian geometry
-
L. RIFFORD AND E. TRÉLAT, Morse-Sard type results in sub-Riemannian geometry, Math. Ann., 332 (2005), pp. 145-159.
-
(2005)
Math. Ann
, vol.332
, pp. 145-159
-
-
RIFFORD, L.1
TRÉLAT, E.2
-
45
-
-
0033276542
-
Clocks and insensitivity to small measurement errors
-
E. D. SONTAG, Clocks and insensitivity to small measurement errors, ESAIM Control Optim. Calc. Var., 4 (1999), pp. 537-557.
-
(1999)
ESAIM Control Optim. Calc. Var
, vol.4
, pp. 537-557
-
-
SONTAG, E.D.1
-
46
-
-
34648854565
-
-
E. D. SONTAG, Stability and stabilization: Discontinuities and the effect of disturbances, in Nonlinear Analysis, Differential Equations, and Control, Proc. NATO Advanced Study Institute, Montreal, F. H. Clarke and R. J. Stern, eds., Kluwer Academic, Dordrecht, The Netherlands, 1999, pp. 551-598.
-
E. D. SONTAG, Stability and stabilization: Discontinuities and the effect of disturbances, in Nonlinear Analysis, Differential Equations, and Control, Proc. NATO Advanced Study Institute, Montreal, F. H. Clarke and R. J. Stern, eds., Kluwer Academic, Dordrecht, The Netherlands, 1999, pp. 551-598.
-
-
-
-
47
-
-
0002967668
-
Subanalytic sets and feedback control
-
H. J. SUSSMANN, Subanalytic sets and feedback control, J. Differential Equations, 31 (1979), pp. 31-52.
-
(1979)
J. Differential Equations
, vol.31
, pp. 31-52
-
-
SUSSMANN, H.J.1
-
48
-
-
0001315138
-
Subanalytic sets in the calculus of variation
-
M. TAMM, Subanalytic sets in the calculus of variation, Acta Math., 146 (1981), pp. 167-199.
-
(1981)
Acta Math
, vol.146
, pp. 167-199
-
-
TAMM, M.1
-
49
-
-
0000829463
-
Differential automata and their discrete simulators
-
L. TAVERNINI, Differential automata and their discrete simulators, Nonlinear Anal., 11 (1987), pp. 665-683.
-
(1987)
Nonlinear Anal
, vol.11
, pp. 665-683
-
-
TAVERNINI, L.1
-
50
-
-
34648838016
-
-
E. TRÉLAT, Etude asymptotique et transcendance de la fonction valeur en contrôle optimal; catégorie log-exp en géométrie sous-riemannienne dans le cas Martinet, Ph.D. Thesis, Univ. Dijon, France, 2000.
-
E. TRÉLAT, Etude asymptotique et transcendance de la fonction valeur en contrôle optimal; catégorie log-exp en géométrie sous-riemannienne dans le cas Martinet, Ph.D. Thesis, Univ. Dijon, France, 2000.
-
-
-
-
51
-
-
0001222585
-
Some properties of the value function and its level sets for affine control systems with quadratic cost
-
E. TRÉLAT, Some properties of the value function and its level sets for affine control systems with quadratic cost, J. Dyn. Control Syst., 6 (2000), pp. 511-541.
-
(2000)
J. Dyn. Control Syst
, vol.6
, pp. 511-541
-
-
TRÉLAT, E.1
-
52
-
-
33645410758
-
Global subanalytic solutions of Hamilton-Jacobi type equations
-
E. TRÉLAT, Global subanalytic solutions of Hamilton-Jacobi type equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, 23 (2006), pp. 363-387.
-
(2006)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.23
, pp. 363-387
-
-
TRÉLAT, E.1
-
53
-
-
0032050689
-
Stability theory for hybrid dynamical systems
-
H. YE, A. N. MICHEL, AND L. HOU, Stability theory for hybrid dynamical systems, IEEE Trans. Automat. Control, 43 (1998), pp. 461-474.
-
(1998)
IEEE Trans. Automat. Control
, vol.43
, pp. 461-474
-
-
YE, H.1
MICHEL, A.N.2
HOU, L.3
|