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The problem of robust stabilization for a class of dynamical nonlinear systems with uncertainties and time-varying delay is discussed. On condition that the derivative of time-varying delay function has restriction, a novel stability criterion which can guarantee the exponential stabilization of the system is established by using the Riccati differential equation. Furthermore, when there is no bound...
This paper considers the problem of composite disturbance-observer-based control (DOBC) and H∞ control for time-delay systems with nonlinear perturbations. The external disturbance is supposed to be generated by an exogenous system with time delay. After designing the corresponding disturbance observer and controller, we obtain a complex closed-loop time-delay system. Based on the LMI technologies...
In this paper, we consider a class of time-delay dynamical systems with nonlinear perturbation. The nonlinear perturbation functions are assumed bounded. we provide a robust stabilization criterion via designing a memoryless state feedback controller for the time-delay dynamical neural networks with nonlinear perturbation. The sufficient criterion is given in terms of linear matrix inequality (LMI)...
This paper concerns the problem of the delay-dependent robust stability for neutral singular systems with time-varying delays and nonlinear perturbations. Based on integral inequalities, some both discrete-delay-dependent and neutral-delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities (LMIs). Neither model transformation nor bounding technique for...
The issue of robustly exponential stability for uncertain neutral-type systems is considered in this paper. The uncertainties are nonlinear and the discrete-delay is time-varying. In terms of a linear matrix inequality (LMI), the new sufficient stability condition with delay dependence is presented. The model transformation and bounding techniques for cross terms are avoided based on an integral inequality...
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