Idioma:

Stability notions and Lyapunov functions for sliding mode control systems

Polyakov, Andrey ; Fridman, Leonid

Journal of the Franklin Institute, 2014-04, Vol.351 (4), p.1831-1865 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
Stability notions and Lyapunov functions for sliding mode control systems
Autor: Polyakov, Andrey ; Fridman, Leonid
Assuntos: Automatic Control Engineering ; Computer Science
É parte de: Journal of the Franklin Institute, 2014-04, Vol.351 (4), p.1831-1865
Descrição: The paper surveys mathematical tools required for stability and convergence analysis of modern sliding mode control systems. Elements of Filippov theory of differential equations with discontinuous right-hand sides and its recent extensions are discussed. Stability notions (from Lyapunov stability (1982) to fixed-time stability (2012)) are observed. Concepts of generalized derivatives and non-smooth Lyapunov functions are considered. The generalized Lyapunov theorems for stability analysis and convergence time estimation are presented and supported by examples from sliding mode control theory.
Editor: Elsevier Ltd
Idioma: Inglês

Links

Voltar para lista de resultados