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This paper addresses the robust stability and stabilization of continuous-time linear systems with Markov jump parameters taking values in a finite set. It is shown how each of the robust analysis and synthesis problems can be expressed in terms of two alternative linear matrix inequalities, in which the scaling parameters appear as decision variables. As a by-product, new contributions to the theory...
This study proposes absolute stability conditions and an approximate range of robust stability for a continuous-time T-S fuzzy system. In this paper, the mixed transfer functions to synthesize a T-S fuzzy model in any mixed weighting cases for the stability are introduced. A well-known Extreme Value Theorem and Kharitonov's Theorem are developed to analyze the stability robustness and to judge the...
In this paper we study the robustness analysis problem for linear continuous-time systems subject to parametric time-varying uncertainties making use of piecewise linear (polyhedral) Lyapunov functions. A given class of Lyapunov functions is said to be ldquouniversalrdquo for the uncertain system under consideration if the search of a Lyapunov function that proves the robust stability of the system...
This paper is concerned with robust sampled-data stabilization for uncertain fuzzy systems. A new approach to robust sampled-data control is introduced. A practical system is usually modelled as a continuous-time fuzzy system, while the control input has a piecewise-continuous delay. Sufficient robust stability conditions for the closed-loop system with a sampled-data state feedback controller are...
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