Reference : Finding surface Lyapunov functions through sum-of-squares Programming
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/20434
Finding surface Lyapunov functions through sum-of-squares Programming
English
Spanos, D. [> >]
Goncalves, Jorge mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
2004
Proceedings of the American Control Conference 2004
Institute of Electrical and Electronics Engineers
Volume 2
1891 - 1898
Yes
0780383354
American Control Conference, 2004
June 30 - July 2, 2004
Boston
USA
[en] This work presents a sum-of-squares method to construct polynomial surface Lyapunov functions (SuLF) of arbitrary order for the impact maps of limit cycles in piecewise linear systems (PLS). This work extends previous results on stability analysis of such limit cycles, which utilized quadratic SuLFs. This paper also discusses an initial study of hierarchical jump linear systems where the switching is driven by feedback of low-level dynamical system states and a Markovian process.
http://hdl.handle.net/10993/20434

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