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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...
This paper studies the problem of stability analysis for singular systems with time-varying delay. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs). The merits of the proposed results lie in their less conservatism...
This paper deals with the problem of stabilization for a class of networked control systems (NCSs) with random time delay via the state feedback control. The transmission delay is modeled as a Markov process, and the resulting closed-loop system is modeled as a Markovian jump linear system (MJLS). Based on Lyapunov stability theorem combined with linear matrix inequalities (LMIs) techniques, A new...
This study presents an H-infinite controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on...
In this paper, some criteria are derived for global robust asymptotic stability of a class of interval neural networks with multiple delays via the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) approach. Numerical example is also given to show the effectiveness of our results.
Delay margin means the maximum delayed time that power system can sustain without losing its stability. Since, there exists significant time delay in the data of phasor measurement unit (PMU) and wide-area measurement system (WAMS), to evaluate system delay margin is very important for power system online stability assessment and controller design in the wide-area environment. In this paper, we use...
This paper presents a stability analysis method for piecewise linear delta operator systems. Based on a piecewise Lyapunov function, the stability of the piecewise delta linear systems can be established if a piecewise Lyapunov function can be constructed. Moreover, the Lyapunov function can be obtained by solving a set of linear matrix inequalities (LMI).
An improved delay-dependent asymptotic stability condition for systems with time-varying delay in terms of a strict linear matrix inequality (LMI) is presented. Two slack matrix variables are introduced in the derivative of the Lyapunov-Krasovskii functional in order to reduce conservatism in existing delay-dependent stability conditions. When time-varying norm-bounded uncertainties appear in a system...
In many current fuzzy control papers, LMI stability conditions are devised in order to prove stability of Takagi-Sugeno fuzzy systems. Such laws are usually independent of the values of membership functions, and fulfil for multiple shapes of them. Knowledge of the shape of the membership functions may allow lifting some conservativeness. In particular, in this paper local quadratic stability results...
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