An extension of LaSalle's invariance principle for switched systems

Systems and Control Letters

Volumn 55, Issue 5, 2006, Pages 376-384

  Mancilla Aguilar, J L ^a   Garcia R A ^a,b  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b INSTITUTO TECNOLÓGICO DE BUENOS AIRES   (Argentina)

Author keywords

Hybrid systems; Invariance principles; Lyapunov method; Stability; Switched systems

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV METHODS; NONLINEAR SYSTEMS;

HYBRID SYSTEMS; INVARIANCE PRINCIPLES; LYAPUNOV METHOD; SWITCHED SYSTEMS;

SWITCHING SYSTEMS;

EID: 33644867215     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2005.07.009     Document Type: Article

References (15)

1. A. Bacciotti, L. Mazzi, An invariance principle for nonlinear switched systems, Systems Control Lett. 54 (2005) 1109-1119.
2. M. Branicky Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Trans. Automat. Control 43 1998 475 482
3. R.A. DeCarlo, M.S. Branicky, S. Pettersson, and B. Lennartson Perspectives and results on the stability and stabilizability of hybrid systems Proc. IEEE 88 2000 1069 1082
4. J. Dugundji Topology 1966 Allyn and Bacon Boston
5. J.P. Hespanha Uniform stability properties of switched linear systems: extensions of LaSalle's Invariance Principle IEEE Trans. Automat. Control 49 2004 470 482
6. J.P. Hespanha, D. Liberzon, D. Angeli, and E. Sontag Nonlinear observability notions and stability of switched systems IEEE Trans. Automat. Control 50 2005 154 168
7. P.E. Kloeden, Nonautonomous attractors of switching systems, Dynamical Systems, to appear.
8. J.P. LaSalle, The stability of dynamical systems, Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, PA, 1996.
9. D. Liberzon Switching in Systems and Control 2003 Birkhäuser Boston
10. D. Liberzon, and A.S. Morse Basic problems in stability and design of switched systems IEEE Control Systems Magazine 19 1999 59 70
11. Y. Lin, E.D. Sontag, and Y. Wang A smooth converse Lyapunov theorem for robust stability SIAM J. Control Optim. 34 1996 124 160
12. J. Lygeros, K.H. Johansson, S.M. Simić, J. Zhang, and S. Sastry Dynamical properties of hybrid automata IEEE Trans. Automat. Control 48 2003 2 17
13. J.L. Mancilla Aguilar, R.A. García, E. Sontag, and Y. Wang On the representation of switched systems with inputs by perturbed control systems Nonlinear Anal. 60 6 2005 1111 1150
14. P. Peleties, and R.A. DeCarlo Asymptotic stability of m-switched systems using Lyapunov-like functions Proceedings 1991 American Control Conference 1991 1679 1684
15. E. Sontag, and Y. Wang New characterizations of input to state stability IEEE Trans. Autom. Control 41 1996 1283 1294