Reference : Regions of Stability for Limit Cycles of Piecewise Linear Systems
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/20432
Regions of Stability for Limit Cycles of Piecewise Linear Systems
English
Goncalves, Jorge mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
2003
Proceedings of the 42th IEEE Conference on Decision and Control
IEEE Systems Control Society
Volume 1
651 - 656
Yes
0780379241
42th IEEE Conference on Decision and Control
9-12 December 2003
Maui
Hawaii
[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.
http://hdl.handle.net/10993/20432
10.1109/CDC.2003.1272638

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