Jianwei Xia

Improved Delay-dependent Robust Stability Analysis for Neutral-type Uncertain Neural Networks with Markovian jumping Parameters and Time-varying Delays

Abstract This paper deals with the problem of robust stochastic stability analysis for a class of neutral-type uncertain neural networks with Markovian jumping parameters and time-varying delays. By introducing an novel mode-dependent Augmented Lyapunov-Krasovskii functional with delay partitioning and Wirtinger-based integral inequality techniques, some improved delay-dependent stochastically stable conditions are proposed in the form of LMIs. Numerical simulations are provided to show the effectiveness and less conservatism of the results.

Delay-dependent stability and dissipativity analysis of generalized neural networks with Markovian jump parameters and two delay components

Abstract This paper focuses on the problem of delay-dependent stability and dissipativity analysis of generalized neural networks (GNNs) with Markovian jump parameters and two delay components. By constructing novel augmented Lyapunov–Krasovskii functional (LKF), using free-matrix-based inequality to estimate the derivative of Lyapunov function and employing the reciprocally convex approach to consider the relationship between the time-varying delay and its interval, some improved delay-dependent stability criteria and dissipativity criteria are established in terms of linear matrix inequalities. Moreover, the obtained criteria is extended to analyze the stability analysis of GNNs with two delay components and the passivity analysis of GNNs with one delay. Numerical examples are given to show the effectiveness and the significant improvement of the proposed methods.

Extended dissipative analysis of generalized Markovian switching neural networks with two delay components

Abstract The topic of delay-dependent extended dissipative analysis for generalized Markovian switching neural networks (GMSNNs) with two delay components is considered in this paper. Based on the concept of the extended dissipativity, this paper is to solve the H ∞ , L 2 − L ∞ , passive and ( Q, S, R )- dissipativity performance in a unified framework. By means of an augmented Lyapunov–Krasovskii functional (LKF) as well as employing the novel free-matrix-based inequality and the reciprocally convex approach, some improved delay-dependent criteria are established in terms of linear matrix inequalities (LMIs). Moreover, the obtained criteria are extended to analyze the extended dissipative analysis of generalized neural networks (GNNs) with two delay components. Numerical examples are shown to illustrate the effectiveness of the methods.

Delay-difference-dependent robust exponential stability for uncertain stochastic neural networks with multiple delays

Abstract This paper deals with the problem of robust exponential stability for a class of uncertain stochastic neural networks with multiple delays. Based on the multiple-difference-dependent Lyapunov–Krasovskii functional and free-weighting matrices method, some novel stability criteria for the addressed uncertain stochastic neural networks are derived. At last, two numerical examples are presented to show the effectiveness and improvement of the proposed results.

Improved passivity analysis for neural networks with Markovian jumping parameters and interval time-varying delays

The problem of passivity analysis for neural networks with Markovian jumping parameters and interval time-varying delays is investigated in this paper. By constructing a novel Lyapunov-Krasovskii functional based on the complete delay-decomposing idea and using reciprocally convex technique, some improved delay-dependent passivity criteria are established in terms of linear matrix inequalities. Numerical examples are also given to show the effectiveness of the proposed methods.

Non-fragile finite-time extended dissipative control for a class of uncertain discrete time switched linear systems

Abstract In this paper, the issues of finite-time extended dissipative analysis and non-fragile control are investigated for a class of uncertain discrete time switched linear systems. Based on average dwell-time approach, sufficient conditions for the finite-time boundedness and finite-time extended dissipative performance of the considered systems are proposed by solving some linear matrix inequalities, where using the concept of extended dissipative, we can solve the H∞, L 2 − L ∞ , Passivity and (Q, S, R)-dissipativity performance in a unified framework. Furthermore, two form of non-fragile state feedback controllers are designed to guarantee that the closed-loop systems satisfy the finite-time extended dissipative performance. Finally, simulation example is given to show the efficiency of the proposed methods.

Improved delay-dependent stabilization for a class of networked control systems with nonlinear perturbations and two delay components

Abstract This paper focuses on the problem of delay-dependent state feedback control for a class of networked control systems (NCSs) with nonlinear perturbations and two delay components. Based on the dynamic delay interval (DDI) method and the Wirtinger integral inequality, some improved delay-dependent stability analysis are obtained. Furthermore, the results are extended to the conditions of NCSs with one time delay, and the corresponding stability analysis results and state feedback controller are obtained. Finally, some numerical examples and simulations are given to show the effectiveness of the proposed methods.

Nonfragile Finite-Time Extended Dissipative Control for a Class of Uncertain Switched Neutral Systems

This paper is concerned with finite-time extended dissipative analysis and nonfragile control for a class of uncertain switched neutral systems with time delay, and the controller is assumed to have either additive or multiplicative form. By employing the average dwell-time and linear matrix inequality technique, sufficient conditions for finite-time boundedness of the switched neutral system are provided. Then finite-time extended dissipative performance for the switched neutral system is addressed, where we can solve ,, Passivity, and ()-dissipativity performance in a unified framework based on the concept of extended dissipative. Furthermore, nonfragile state feedback controllers are proposed to guarantee that the closed-loop system is finite-time bounded with extended dissipative performance. Finally, numerical examples are given to demonstrate the effectiveness of the proposed method.

ℓ 2 gain analysis and state feedback stabilization of switched systems with multiple additive time-varying delays

Abstract This paper focuses on the problem of l 2 gain analysis and state feedback stabilization for a class of switched systems with multiple additive time-varying delays. First, a new model about switched systems with multiple additive time-varying delays is given. Then, based on the extended dynamic delay interval (EDDI) method, we construct a new multiple Lyapunov function. Combing average dwell-time method, reciprocally convex combination technique and Wirtinger interval inequality to estimate the bounding of the integral term, the stability criteria and l 2 gain performance of switched systems are given. At last, based on the stability results, the state feedback stabilization problem of the switched systems is studied. The results of sufficient conditions are shown in terms of linear matrix inequalities (LMIs). Numerical examples are provided to show the effectiveness of the proposed methods.

Multiple-interval-dependent robust stability analysis for uncertain stochastic neural networks with mixed-delays

This article deals with the problem of robust stochastic asymptotic stability for a class of uncertain stochastic neural networks with distributed delay and multiple time-varying delays. It is noted that the reciprocally convex approach has been intensively used in stability analysis for time-delay systems in the past few years. We will extend the approach from deterministic time-delay systems to stochastic time-delay systems. And based on the new technique dealing with matrix cross-product and multiple-interval-dependent Lyapunov-Krasovskii functional, some novel delay-dependent stability criteria with less conservatism and less decision variables for the addressed system are derived in terms of linear matrix inequalities. At last, several numerical examples are given to show the effectiveness of the results.