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This paper deals with global synchronization in arrays of coupled delayed neural networks with delayed coupling. Through employing Lyapunov-Krasovskii functional and Kronecker product technique, one novel synchronization criterion is presented in terms of linear matrix inequalities(LMIs) based on the integral inequality and convex combination, in which the condition is dependent not only on lower...
In this paper, based on Lyapunov-Krasovskii functional approach and proper integral inequality, one novel sufficient condition is derived to guarantee the global stability for neural networks with interval time-varying delay, in which the general convex combination is employed. The LMI-based criterion heavily depends on the upper and lower bounds on both time delay and its derivative, which is different...
The designation idea of resilient controller is introduced to a class of uncertain singular time-delay system. Based on Lyapunov stability theory, the problem of robust resilient Hinfin control is considered by means of the general integral inequality and linear matrix inequality (LMI) techniques. A method is proposed for designing delay-dependent robust resilient Hinfin controller with respect to...
This paper considers the problem of delay-dependent control for a class of Ito stochastic time-delay systems with nonlinear perturbations. A stochastic integral inequality, which reduces to a deterministic one if there is no stochastic perturbation, is developed. Based on this integral inequality, a delay-dependent sufficient condition for the existence of the desired controller is presented in terms...
This paper deals with the problem of robust stability of uncertain neutral type singular system with neutral and discrete delays. By employing a new integral inequality, a delay-dependent robust stability criterion is obtained in the form of linear matrix inequality (LMI). Numerical examples illustrate the effectiveness of this approach and the improvement over previous methods.
The delay-dependent exponential stability for uncertain time-delay systems is investigated based on two new integral inequalities in this paper. The uncertainties in system matrices are assumed to be norm-bounded. In terms of linear matrix inequalities (LMIs), newly sufficient stability conditions without involving model transformation and bounding techniques for cross terms are proposed. Two numerical...
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