Some Results in Stability Analysis of Hybrid Dynamical Systems

Authors

  • I.L.D. Santos
  • G.N. Silva

DOI:

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

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.

Downloads

Published

2007-06-01

How to Cite

Santos, I., & Silva, G. (2007). Some Results in Stability Analysis of Hybrid Dynamical Systems. Trends in Computational and Applied Mathematics, 8(3), 453–462. https://doi.org/10.5540/tema.2007.08.03.0453

Issue

Vol. 8 No. 3 (2007)

Section

Original Article

License

Authors who publish in this journal agree to the following terms: 

  1. Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.

  2. Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
     

  3. Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).

  4. This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
    author. This is in accordance with the BOAI definition of open access

 

Intellectual Property

All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.