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Regions of Stability for Limit Cycles of Piecewise Linear Systems
Goncalves, Jorge
2003In Proceedings of the 42th IEEE Conference on Decision and Control
Peer reviewed
 

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Abstract :
[en] This paper starts by presenting local stability conditions for limit cycles of piecewise linear systems (PLS), based on analyzing the linear part of Poincare maps. Local stability guarantees the existence of an asymptotically stable neighborhood around the limit cycle. However, tools to characterize such neighborhood do not exist. This work gives conditions in the form of LMIs that guarantee asymptotic stability of PLS in a reasonably large region around a limit cycle, based on recent results on impact maps and surface Lyapunov functions (SuLF). These are exemplified with a biological application: a 4th-order neural oscillator, also used in many robotics applications like, for example, juggling and locomotion.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Goncalves, Jorge ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Language :
English
Title :
Regions of Stability for Limit Cycles of Piecewise Linear Systems
Publication date :
2003
Event name :
42th IEEE Conference on Decision and Control
Event place :
Maui, United States - Hawaii
Event date :
9-12 December 2003
Main work title :
Proceedings of the 42th IEEE Conference on Decision and Control
Publisher :
IEEE Systems Control Society
ISBN/EAN :
0780379241
Collection name :
Volume 1
Pages :
651 - 656
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 18 March 2015

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