LMI-based stability analysis for piecewise multi-affine systems.

Use este identificador para citar ou linkar para este item: http://www.repositorio.ufop.br/jspui/handle/123456789/9282

Título:	LMI-based stability analysis for piecewise multi-affine systems.
Autor(es):	Nguyen, Anh Tu Sugeno, Michio Campos, Victor Costa da Silva Dambrine, Michel
Palavras-chave:	Piecewise multi-affine systems Fuzzy systems Singleton consequents Stability analysis
Data do documento:	2017
Referência:	NGUYEN, A. T. et al. LMI-based stability analysis for piecewise multi-affine systems. IEEE Transactions on Fuzzy Systems, v. 25, p. 707-714, 2017. Disponível em: <http://ieeexplore.ieee.org/document/7468468/>. Acesso em: 02 out. 2017.
Resumo:	This paper provides a computational method to study the asymptotic stability of piecewise multi-affine systems. Such systems stem from a class of fuzzy systems with singleton consequents and can be used to approximate any smooth nonlinear system with arbitrary accuracy. Based on the choice of piecewise Lyapunov functions, stability conditions are expressed as a feasibility test of a convex optimization with linear matrix inequality constraints. The basic idea behind these conditions is to exploit the parametric expressions of piecewise multi-affine systems by means of Finsler’s lemma. Numerical examples are given to point out the effectiveness of the proposed method.
URI:	http://www.repositorio.ufop.br/handle/123456789/9282
Link para o artigo:	http://ieeexplore.ieee.org/document/7468468/
DOI:	https://doi.org/10.1109/TFUZZ.2016.2566798
ISSN:	1941-0034
Aparece nas coleções:	DEELT - Artigos publicados em periódicos

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