An extension of Matrosov's theorem with application to stabilization of nonholonomic control systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2002, Pages 1528-1533

  Loría, Antonio ^a   Panteley, Elena ^b   Popovic, Dobrivoje ^c   Teel, Andrew R ^c  

^a UNIV PARIS SUD   (France)

^b INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

^c University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; INVARIANCE; TIME VARYING CONTROL SYSTEMS;

MATROSOVS THEOREM; NONHOLONOMIC CONTROL SYSTEMS; UNIFORM GLOBAL STABILITY;

NONLINEAR CONTROL SYSTEMS;

EID: 0036990352     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Z. P. Jiang. Iterative design of time-varying stabilizers for multi-input systems in chained form. Syst. & Contr. Letters, 28:255-262, 1996.
2. A. Loría, E. Panteley, and K. Melhem. UGAS of "skew-symmetric" time-varying systems: application to stabilization of chained form systems. EJC, 8(1):33-43, 2002.
3. A. Loría, E. Panteley, D. Popović, and A. Teel. δ-persistency of excitation: a necessary and sufficient condition for uniform attractivity. In Proc. 40th. IEEE Conf. Decision Contr., Las Vegas, NV, USA, 2002. Paper no. REG0623.
4. 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. European Contr. Conf., 1999. paper no. 500.
5. V. M. Matrosov. On the stability of motion. J. Appl. Math. Mech., 26:1337-1353, 1962.
6. B. Paden and R. Panja. Globally asymptotically stable PD+ controller for robot manipulators. Int. J. of Contr., 47:1697-1712, 1988.
7. E. Panteley, A. Loría, and A. Teel. Relaxed persistency of excitation for uniform asymptotic stability. IEEE Trans. on Automat. Contr., 46(12):1874-1886, 2001.
8. N. Rouche, P. Habets, and M. Laloy. Stability theory by Liapunov's direct method, volume 22 of Appl. Math. Sc. Springer-Verlag, New York, 1977.
9. N. Rouche and J. Mawhin. Ordinary differential equations II: Stability and periodical solutions. Pitman publishing Ltd., London, 1980.
10. C. Samson. Control of chained system: Application to path following and time-varying point stabilization of mobile robots. IEEE Trans. on Automat. Contr., 40(1):64-77, 1995.
11. A. Teel, E. Panteley, and A. Loría. Integral characterizations of uniform asymptotic and exponential stability with applications. Technical Report AP00-015, LAG UMR 5528, CNRS, January 2000. Math. of Cont. Sign. and Syst., to appear.
12. A. Teel, E. Panteley, and A. Loría. Integral characterisations of set UGAS/UGES with applications to matrosov's theorem. In Proc. IFAC NOLCOS, St. Petersburg, Russia, July 2001.