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This study is focused on the problem of asymptotic stability for a class of Lur'e dynamical system with mixed time-varying delays and nonlinearity. Firstly, by constructing a new appropriate Lyapunov-Krasovkii functional, less conservative delay-dependent stability criteria are derived by using some integral inequalities. Besides, by dividing the mixed delays into many a nonuniformly subintervals...
This paper is concerned with the problem of stability analysis of linear systems with time-varying delay. A new delay-dependent stability condition expressed in terms of linear matrix inequalities (LMIs) is derived by employing a dedicated constructed Lyapunov-Krasovskii functional (LKF) and combining a novel combined convex method. Different from the previous convex techniques which only tackle the...
The problem of finite-time guaranteed cost control of a class of stochastic systems is concerned in this paper. First, the class of stochastic systems is driven by Brownian motion. Second, a new definition of guaranteed cost control is provided, which is concerned on both the mathematic expectation and the time of the operation of the system. Third, some sufficient conditions are obtained by in terms...
This paper is concerned with the finite-time stabilization for a class of linear systems subject to actuator fault using limited information. A sufficient condition is derived which reveals the relationship among the sampling period, the norm of the transition matrix of the open-loop system over one sampling period, the input matrix, the feedback gain and the vertex set of the actuator fault to achieve...
This paper points and corrects mistakes in [Mathematical Problems in Engineering, Volume 2009, ID759248, doi:10.1155/2009/759248]. By introducing a Lyapunov-Krasovskii functional and using Jensen inequality technique to deal with its derivative, a delay-range-dependent and rate-dependent linear matrix inequalities (LMI) stability criterion for a class of neutral systems with time-varying neutral,...
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