Some Results in Stability Analysis of Hybrid Dynamical Systems

I.L.D. Santos, G.N. Silva

Abstract


In this paper we introduced a general model for the Hybrid Dynamical Systems and for such systems we introduced the usual concept of Lyapunov stability. Furthermore, we established two Principal Lyapunov Theorems and a converse theorem.

References


[1] L. Hou, “Qualitative Analysis of Discontinuous Deterministic and Stochastic Dynamical Systems”, Ph.D. Thesis, University of Notre Dame, Indiana, 2000.

A.N. Michel, Recent trends in the stability analysis of hybrid dynamical systems, IEEE Transactions on Circuits and Systems, 45, No.1 (1999), 120-134.

A.N. Michel, L. Hou, Stability analysis of a general class of hybrid dynamical systems, in “Proceedings of the American Control Conference”, pp. 2805-2809, Albuquerque, New Mexico, 1997.

A.N. Michel, B. Hu, Towards a stability theory of general hybrid dynamical systems, Automatica, 35 (1999), 371-384.

A.N. Michel, B. Hu, K. Wang, “Qualitative Theory of Dynamical Systems”, Marcel Dekker, New York, 2001.

H. Ye, A.N. Michel, Stability theory for hybrid dynamical systems, IEEE Transactions on Automatic Control, 43, No.4 (1998), 461-474.

H. Ye, A.N. Michel, A general model for the qualitative analysis of hybrid dynamical systems, in “Proceedings of the 34th Conference on Decision and Control”, pp. 1473-1477, IEEE, New Orleans, 1995.




DOI: https://doi.org/10.5540/tema.2007.08.03.0453

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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