In this paper, the problem of asymptotic stability for stochastic Hopfield neural networks (HNNs) with time delays is investigated. New delay-dependent stability criteria are presented by constructing a novel Lyapunov-Krasovskii functional. Moreover, the results are further extended to the delayed stochastic HNNs with parameter uncertainties. The main idea is based on the delay partitioning technique, which differs greatly from most existing results and reduces conservatism. Numerical examples are provided to illustrate the effectiveness and less conservativeness of the developed techniques.

Novel Robust Stability Criteria for Stochastic Hopfield Neural Networks With Time Delays

Dynamic output feedback control for a class of switched delay systems under asynchronous switching

This paper investigates the problem of output feedback stabilization for a class of uncertain linear systems with faulty actuators via the synergy with a switching strategy. When actuators suffer a ‘destabilizing failure’ and the never-faulty actuators cannot stabilize the given system, the closed-loop exponential stability can still be achieved via the average dwell-time scheme employing an arbitrary switching signal. The prerequisite condition found requires the ratio between the two lapse times, when the system is devoid of faulty actuators and when it is not so, to be less than a certain specified constant. Then the stabilizing output feedback controls are designed via the technique of linear matrix inequalities. The illustrative example and the respective simulation results demonstrate the feasibility and effectiveness of the proposed design synthesis. Copyright © 2008 John Wiley & Sons, Ltd.

Output feedback control for uncertain linear systems with faulty actuators based on a switching method

The problem of concern here is the stability analysis for stochastic systems with a time delay in the state. By employing a novel Lyapunov–Krasovskii functional, a new delay-dependent exponential stability condition is established for such stochastic time-delay systems. Based on the delay fractioning approach, the developed method can greatly reduce conservativeness compared with the existing results. Numerical examples are provided to show the advantage of the proposed techniques.

New delay-dependent stability criterion for stochastic systems with time delays

This paper proposes an optimal control approach for a robust control design problem of the neutral type time-delay systems, taking parameter uncertainties and state delay into account. The robust control design problem can be equivalently transformed into an optimal control problem, and the amount of plant uncertainties is indirectly reflected in the performance index. By introducing algebraic manipulations and appropriate uncertainty descriptions, the uncertain dynamical system can not only achieve stability, but can also reach the guaranteed level of performance. A suitable linear state feedback control law is characterized via Lyapunov stability theory to ensure quadratic stability and performance robustness of the closed-loop system. Copyright © 2008 John Wiley & Sons, Ltd.

Optimal control approach for robust control design of neutral systems

This paper studies the problem of robust output feedback control of discrete time-delay systems with parameter uncertainties. The parameter uncertainties under consideration are time varying and no...

LinZ.

Papers

Robust output feedback control for discrete time-delay uncertain systems