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On the construction of Lyapunov functions using the sum of squares decomposition

Abstract:

A relaxation of Lyapunov's direct method has been proposed recently that allows for an algorithmic construction of Lyapunov functions to prove stability of equilibria in nonlinear systems, but the search is restricted to systems with polynomial vector fields. In this paper, the above technique is extended to include systems with equality, inequality, and integral constraints. This allows certain non-polynomial nonlinearities in the vector field to be handled exactly and the constructed Lyapun...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Volume:
3
Pages:
3482-3487
Publication date:
2002
ISSN:
0191-2216
URN:
uuid:ce971dd4-6186-4119-b5f6-5a0dbcfa80ae
Source identifiers:
64481
Local pid:
pubs:64481
ISBN:
0-7803-7516-5

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