Relationships between input-output stability and exponentially stable periodic orbits

Chung Choo Chung, John Hauser

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we present new results concerning the relationships between the input-output and Lyapunov stability of nonlinear system possessing a periodic orbit. Definition of small-signal finite-gain Lp stability around periodic orbit is introduced. We show Lp stability of exponentially stable periodic orbit using quadratic Lyapunov functions for the periodic orbit. The L2 gain analysis is presented with Hamiltonian-Jacobi inequality along with an example.

Original languageEnglish
Title of host publicationProceedings of the 1998 American Control Conference, ACC 1998
Pages2790-2794
Number of pages5
DOIs
Publication statusPublished - 1998 Dec 1
Event1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States
Duration: 1998 Jun 241998 Jun 26

Publication series

NameProceedings of the American Control Conference
Volume5
ISSN (Print)0743-1619

Other

Other1998 American Control Conference, ACC 1998
CountryUnited States
CityPhiladelphia, PA
Period98/06/2498/06/26

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Chung, C. C., & Hauser, J. (1998). Relationships between input-output stability and exponentially stable periodic orbits. In Proceedings of the 1998 American Control Conference, ACC 1998 (pp. 2790-2794). [688362] (Proceedings of the American Control Conference; Vol. 5). https://doi.org/10.1109/ACC.1998.688362