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This paper focuses on the problem of the stability analysis for T-S fuzzy systems with time delay. A novel Lyapunov-Krasovskii functional containing the fuzzy line-integral Lyapunov function is established. By employing some developed Wirtinger-based integral inequalities, less conservative stability criteria in terms of linear matrix inequalities (LMIs) are obtained. Two examples are given to verify...
This paper is concerned with the absolute stability analysis of neutral-type Lur'e systems with interval time-varying delays and sector-bounded nonlinearity. By using the reciprocally convex technique, convex technique and Wirtinger-type integral inequality simultaneously, neutral-delay-range-dependent absolute stability criteria are presented. The obtained criteria can be regarded as an extensive...
This paper is concerned with the stochastic stability problem for discrete-time Markovian jump systems (DTMJSs) with time-varying delays. Two cases are discussed in the main results. On the one hand, it is assumed that the transition probability can be known. In this case, by constructing the Lyapunov-Krasovskii functional and using some summation inequalities to estimate its forward difference, a...
This paper addresses the stability analysis for switched neutral systems with time-varying delay under the arbitrary switching rule. By constructing the common Lyapunov functional, using the analysis technique of matrix inequalities, the delay-dependent stability criteria are presented, which are in terms of the linear matrix inequalities(LMIs). Finally, an illustrative numerical example is given...
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