Te-Jen Su

An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays

Based on the linear matrix inequality method, we introduce the robust stability of uncertain linear stochastic differential delay systems with delay dependence. The parameter uncertainty is norm-bounded and the delays are time varying. We then extend the proposed theory to discuss the robust stabilization of uncertain stochastic differential delay systems.

Stability of cellular neural networks with time-varying delay

The stability for cellular neural networks (CNNs) with time-varying delay is introduced by using a linear-matrix inequality. A sufficient condition related to the global asymptotic stability for delay CNNs is proposed. It is shown that the condition relies on the dependence of the delay. This condition is less restrictive than that given in the literature.

A Delay-Dependent Approach to Passivity Analysis for Uncertain Neural Networks with Time-varying Delay

This paper deals with the problem of passivity analysis for neural networks with time-varying delay, which is subject to norm-bounded time-varying parameter uncertainties. The activation functions are supposed to be bounded and globally Lipschitz continuous. Delay-dependent passivity condition is proposed by using the free-weighting matrix approach. These passivity conditions are obtained in terms of linear matrix inequalities, which can be investigated easily by using standard algorithms. Two illustrative examples are provided to demonstrate the effectiveness of the proposed criteria.

On robust stabilization of uncertain stochastic time-delay systems—an LMI-based approach

In this paper, we first deal with the robust stability of uncertain linear stochastic differential delay systems. The parameter uncertainties are time-varying and unknown but are norm-bounded via two types of uncertainties, and the delays are time invariant. We then extend the proposed theory to discuss the robust stabilization of uncertain stochastic differential delay systems. These results are given in terms of linear matrix inequalities. Two examples are presented to illustrate the effectiveness.

Cellular Neural Networks for Gray Image Noise Cancellation Based on a Hybrid Linear Matrix Inequality and Particle Swarm Optimization Approach

This paper describes a technique for gray image noise cancellation. This method employs linear matrix inequality (LMI) and particle swarm optimization (PSO) based on cellular neural networks (CNN).We use two images that one is desired image and the other is corrupted to find the CNN template. The Lyapunov stability theorem is employed to derive the criterion for uniqueness and global asymptotic stability of the CNN equilibrium point. The current study characterizes the template design problem as a standard LMI problem and the optimization parameters of the templates are carried out by PSO. Finally, the examples are given to illustrate the effectiveness of the proposed method.

Cellular Neural Network for Noise Cancellation of Gray Image Based on Hybrid Linear Matrix Inequality and Particle Swarm Optimization

In this paper, the technique of noise cancellation for gray image is presented by employing linear matrix inequality (LMI) and particle swarm optimization (PSO) based on cellular neural networks (CNN). A criterion for global asymptotic stability of CNN is presented based on the Lyapunov stability theorem, and the problem of image noise cancellation can be characterized in terms of LMIs. Based on stability conditions of LMI, the parameter of templates are obtained via PSO. The examples are given to illustrate the effectiveness of the proposed method.

Robust H/sub /spl infin// control for uncertain nonlinear stochastic neutral systems with state delays

This paper deals with the problem of robust stability and robust H/sub /spl infin// control for a class of uncertain neutral systems. The nonlinearities are assumed to satisfy the global Lipschitz conditions and appear in the term of perturbation. Attention first is focused on investigating a sufficient condition for designing a state feedback controller which stabilizes the uncertain neutral system under consideration of robust stabilization dependent of delay. Then, we show that it guarantees an H/sub /spl infin//-norm bound constraint on the disturbance attenuation. The proposed results are given in terms of linear matrix inequalities. An example is worked out to illustrate the validness of the theoretical results.

Delay-dependent robust H ∞ filtering for interval systems with state delays

This paper deals with the problem of robust H∞ filtering for a class of linear continuous-time interval systems with delay dependence and structured uncertainties, which are not restricted to the matched uncertainty or the norm-bounded uncertainty. The problem aims at designing a stable linear filtering assuring asymptotic stability and a prescribed H∞ performance level for the filtering error system. A sufficient condition for the existence of such a filter is developed in terms of linear matrix inequalities. A numerical example demonstrates the validity of the newly developed theoretical results.

Robust Kalman filtering for delay-dependent interval systems

In this paper, we study the problem of Kalman filtering for a class of linear continuous-time interval systems with delay-dependent conditions. By employing a Lyapunov-Krasovskii functional approach, it is proven that the dynamics of the estimation error is stochastically exponential stable in the mean square. Sufficient conditions are proposed to guarantee the existence of the desired robust Kalman filters by solving linear matrix inequality which is delay dependent. A numerical example is worked out to illustrate the validity of the theoretical results.

An LMI approach for robust stability of linear uncertain systems with time-varying multiple state delays

Provides stability criteria for a class of uncertain linear time-delay systems with time-varying delays. Based on Lyapunov-Krasovskii functionals combined with LMI techniques, improved delay-dependent robust stability criteria, which are given in terms of quadratic forms of state and LMI, are derived. Our results shown by an example are less conservative than the existing stability criteria.