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Nonlinear norm-observability notions and stability of switched systems (2005)
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| Venue: | IEEE TRANS. AUTOMAT. CONTR |
| Citations: | 35 - 2 self |
BibTeX
@ARTICLE{Hespanha05nonlinearnorm-observability,
author = {João P. Hespanha and Daniel Liberzon and David Angeli and Eduardo D. Sontag},
title = {Nonlinear norm-observability notions and stability of switched systems},
journal = {IEEE TRANS. AUTOMAT. CONTR},
year = {2005},
volume = {50},
number = {2},
pages = {154--168}
}
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Abstract
This paper proposes several definitions of “norm-observability” for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for norm-observability is also obtained. As an application, we prove several variants of LaSalle’s stability theorem for switched nonlinear systems. These results are demonstrated to be useful for control design in the presence of switching as well as for developing stability results of Popov type for switched feedback systems.
Keyphrases
switched system nonlinear norm-observability notion nonlinear system stability theorem switched nonlinear system stability result switched feedback system index term lasalle stability theorem several variant lyapunov-like sufficient condition several definition control design popov type time interval observability property
