Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
Andrea Bacciotti; Francesca Ceragioli
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 4, page 361-376
- ISSN: 1292-8119
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topBacciotti, Andrea, and Ceragioli, Francesca. " Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions." ESAIM: Control, Optimisation and Calculus of Variations 4 (2010): 361-376. <http://eudml.org/doc/116570>.
@article{Bacciotti2010,
abstract = {
We study stability and stabilizability properties of systems with discontinuous
righthand side (with solutions intended in Filippov's sense) by means of
locally Lipschitz continuous and regular Lyapunov functions. The stability
result is obtained in the more general context of
differential inclusions. Concerning stabilizability, we focus on systems
affine with respect to the input: we give some sufficient conditions for a
system to be stabilized by means of a feedback law of the Jurdjevic-Quinn type.
},
author = {Bacciotti, Andrea, Ceragioli, Francesca},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Stability; stabilization; Clarke gradient; Lyapunov functions;
LaSalle principle.; stability; stabilizability; differential inclusions; Jurdevic-Quinn type; LaSalle principle},
language = {eng},
month = {3},
pages = {361-376},
publisher = {EDP Sciences},
title = { Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions},
url = {http://eudml.org/doc/116570},
volume = {4},
year = {2010},
}
TY - JOUR
AU - Bacciotti, Andrea
AU - Ceragioli, Francesca
TI - Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 4
SP - 361
EP - 376
AB -
We study stability and stabilizability properties of systems with discontinuous
righthand side (with solutions intended in Filippov's sense) by means of
locally Lipschitz continuous and regular Lyapunov functions. The stability
result is obtained in the more general context of
differential inclusions. Concerning stabilizability, we focus on systems
affine with respect to the input: we give some sufficient conditions for a
system to be stabilized by means of a feedback law of the Jurdjevic-Quinn type.
LA - eng
KW - Stability; stabilization; Clarke gradient; Lyapunov functions;
LaSalle principle.; stability; stabilizability; differential inclusions; Jurdevic-Quinn type; LaSalle principle
UR - http://eudml.org/doc/116570
ER -
References
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