This paper studies the problem of the stochastic stability and H∞ control for the continuous-time time-delay systems with randomly Markovian jumping parameters. A new delay-dependent condition on the stochastic stability is proposed using a new stochastic Lyapunov-Krasovskii functional. The condition is formulated as a set of coupled linear matrix inequalities. Then a new stable H∞ control desi...

Abstract: This paper proposes a convex approach to regional stability analysis of a class of nonlinear state-delayed systems subject to convex-boundedparameter uncertainty. Delay-dependent conditions are developed to ensure the system robust local stability and obtain an estimate of a domain of attraction of the origin inside a given polytopic region of the state-space. The proposed approach is...

Together with Lyapunov-Krasovskii functional theory and reciprocal convex technique, a new sufficient condition is derived to guarantee the global stability for recurrent neural networks with both time-varying and continuously distributed delays, in which one improved delay-partitioning technique is employed. The LMI-based criterion heavily depends on both the upper and lower bounds on state de...

In this paper, stochastic bidirectional associative memory neural networks with constant or time-varying delays is considered. Based on a Lyapunov-Krasovskii functional and the stochastic stability analysis theory, we derive several sufficient conditions in order to guarantee the global asymptotically stable in the mean square. Our investigation shows that the stochastic bidirectional associati...

This paper investigates the problem of exponential synchronization for a class of master-slave systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master-slave parameters are estab...

The paper considers the design of robust AQM for the congestion problem of a router. Using a state space representation of a linearized fluid model of TCP, we provide an AQM which stabilises the queue length of the buffer for any delay less than a prescribed upper bound. Our results rely on the use of recently developed Lyapunov-Krasovskii functional and have been expressed in terms of Linear M...

The robust stabilization problem for neutral systems with saturating actuators is addressed here. The systems considered are continuous-time with parametric uncertainties entering all the matrices in the system representation. A saturating control law is designed and a region is specified in which the stability of the closed-loop system is ensured. The Lyapunov-Krasovskii functional is employed...

This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov–Krasovskii functional to be applied in order to obtain sufficient conditions in th...

*Correspondence: [email protected] Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung, 811, Taiwan, R.O.C. Abstract In this paper, the H∞ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design. Lyapunov-Krasovskii type functional and di...

In this paper, the stability and stabilization of a neutral system with time-delay are treated. First, the flexible manipulator is modeled as a neutral time-delay system form. Then, based on the Lyapunov-Krasovskii functional theory, a delay dependant condition is proposed to test studied system stability, which is applied to a flexible manipulator model. The test shows that this flexible manip...