On input-to-state stability of impulsive systems

João P. Hespanha; Daniel Liberzon; Andrew R. Teel

doi:10.1109/CDC.2005.1582786

On input-to-state stability of impulsive systems

João P. Hespanha, Daniel Liberzon, Andrew R. Teel

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS for systems with impulsive effects. We provide a set of Lyapunov-based sufficient conditions to establish these properties. When the continuous dynamics are stabilizing but the impulsive effects are destabilizing, the impulses should not occur too frequently, which can be formalized in terms of an average dwell-time condition. Conversely, when the impulses are stabilizing and the continuous dynamics are destabilizing, there must not be overly long intervals between impulses, which is formalized in terms of a reverse average dwell-time condition. We also investigate limiting cases of systems that remain stable for arbitrarily small/large average dwell-times.

Original language	English (US)
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	3992-3997
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582786
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: Dec 12 2005 → Dec 15 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Other

Other	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 12/15/05

ASJC Scopus subject areas

Engineering(all)

Online availability

10.1109/CDC.2005.1582786

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Hespanha, J. P., Liberzon, D., & Teel, A. R. (2005). On input-to-state stability of impulsive systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 3992-3997). [1582786] (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582786

On input-to-state stability of impulsive systems. / Hespanha, João P.; Liberzon, Daniel; Teel, Andrew R.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 3992-3997 1582786 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hespanha, JP, Liberzon, D & Teel, AR 2005, On input-to-state stability of impulsive systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582786, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 3992-3997, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582786

Hespanha JP, Liberzon D, Teel AR. On input-to-state stability of impulsive systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 3992-3997. 1582786. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582786

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On input-to-state stability of impulsive systems

Abstract

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