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Reducing the conservatism of LMI-based stabilisation conditions for TS fuzzy systems using fuzzy Lyapunov functions
(2013-10-01)
In this article, the fuzzy Lyapunov function approach is considered for stabilising continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further ...
Converse theorems in Lyapunov's second method and applications for fractional order systems
(TUBITAK, 2019)
We establish a characterization of the Lyapunov and Mittag-Leffler stability through (fractional) Lyapunov functions, by proving converse theorems for Caputo fractional order systems. A hierarchy for the Mittag-Leffler ...
A new discrete-time robust stability conditions
(Elsevier Science BvAmsterdamHolanda, 1999)
Stability and stabilization of continuous-time switched linear systems
(Siam PublicationsPhiladelphiaEUA, 2006)
Global Stability Results for Switched Systems Based on Weak Lyapunov Functions
(Institute of Electrical and Electronics Engineers, 2017-06)
In this paper we study the stability of nonlinear and time-varying switched systems under restricted switching. We approach the problem by decomposing the system dynamics into a nominal-like part and a perturbation-like ...
Stability of polytopes of matrices via affine parameter-dependent Lyapunov functions: Asymptotically exact LMI conditions
(Elsevier Science IncNew YorkEUA, 2005)
A fuzzy Lyapunov function approach for stabilization and control of switched TS fuzzy systems
(2014)
In this work, sufficient conditions for the existence of switching laws for stabilizing switched TS fuzzy systems via a fuzzy Lyapunov function are proposed. The conditions are found by exploring properties of the membership ...
Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls
(Pergamon-elsevier Science LtdOxfordInglaterra, 2002)
An LMI condition for the robust stability of uncertain continuous-time linear systems
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2002)
A less conservative LMI condition for the robust stability of discrete-time uncertain systems
(Elsevier Science BvAmsterdamHolanda, 2001)