In this paper, a novel robust delay-dependent guaranteed cost controller is introduced for a class of uncertain nonlinear neutral systems with both norm-bounded uncertainties and nonlinear parameter perturbations. A neutral memory state-feedback control law is chosen such that a quadratic cost function is minimized. On the basis of a descriptor type model transformation, an augmented descriptor...

In this paper, the problem of H1 model reduction for a class of discrete-time Markov jump nonlinear systems with time-varying delays is investigated. Based on the Lyapunov–Krasovskii functional method, sufficient stability conditions in terms of strict LMIs are derived for the model error system. Projection approach is employed to construct a reduced-order model such that the model error system...

In this paper, the problem of sliding mode controller design for uncertain multi-input systems with several fixed state delays is addressed. A combined sliding mode controller is considered and it is designed for the stabilization of perturbed multi-input timedelay systems with matched parameter uncertainties and external disturbances. Delay-independent stability conditions are derived by using...

We study the issue of finite-time synchronization pertaining to a class Clifford-valued neural networks with discrete and infinite distributed delays impulse phenomena. Since multiplication Clifford numbers is non-commutativity, we decompose original n-dimensional drive response systems into equivalent 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xli...

This paper concentrates on the stability problem for linear systems with a differentiable time-varying delay via an auxiliary equation-based method. By supposing that second-order derivative of system state is available, equation obtained. On basis and equation, we define suitable delay-product-type augmented Lyapunov-Krasovskii functional (LKF), under which more information can be exploited. B...

This paper studies the output regulation problem for a class of switched stochastic systems with sampled-data control. Solutions to are given in two situations. On one hand, exogenous signal is assumed be constant. By designing state feedback controller, we obtain that closed-loop system mean-square exponentially stable and tends zero. other time-varying bounded derivative. constructing Lyapuno...

The issue of the robust exponential passivity analysis for uncertain neutral-type neural networks with mixed interval time-varying delays is discussed in this work. For our purpose, lower bounds are allowed to be either positive or zero adopting combination model transformation, various inequalities, reciprocally convex combination, and suitable Lyapunov–Krasovskii functional. A new criterion r...

The stability problem of discrete-time linear systems with interval time-varying delays is investigated in this paper. According to the latest summation inequality technique, an improved free-matrix-based proposed In order make full use bound upper bounds difference Lyapunov-Krasovskii functional (LKF), augmented LKF some extra status information constructed. A new delay-range-dependent criteri...

In this paper, the stability problem is studied for a class of stochastic neutral-type neural networks with Markovian jumping parameters. By using fixed point theorem, the existence and uniqueness of solution for the neural networks system are obtained. Furthermore, based on the Lyapunov-Krasovskii functional, a linear matrix inequality (LMI) approach is developed to establish sufficient condit...

A convex approach is proposed to deal with switched discrete-time systems with time-varying delays. It uses a parameter dependent Lyapunov-Krasovskii functional that allows to assure the robust stability or the robust stabilization of a switched system for arbitrary switching functions. The analysis and the design conditions are formulated as simple feasibility tests of linear matrix inequaliti...