The H∞ filtering problem for a class of discrete stochastic neural networks systems with time-varying delay and nonlinear sensor is investigated. By employing the Lyapunov stability theory and linear matrix inequality optimization approach, sufficient conditions to guarantee the filtering error systems asymptotically stable are provided. By setting on the lower and upper bounds of the discrete ...

Design of an observer based controller for a class of fractional order systems has been done. Fractional order mathematics is used to express the system and the proposed observer. Fractional order Lyapunov theorem is used to derive the closed-loop asymptotic stability. The gains of the observer and observer based controller are derived systematically using the linear matrix inequality approach....

This paper is considered with the robust stability problem for linear discretetime systems with polytopic uncertainty and an interval time-varying delay in the state. On the basis of a novel Lyapunov-Krasovskii functional, new delay-range-dependent stability criteria are established by employing the freeweighting matrix approach and a Jensen-type sum inequality. It is shown that the newly propo...

In this paper, we consider the stability and robust stability for descriptor systems with time-varying delay. First, we attempt to obtain delay-dependent stability conditions via linear matrix inequalities (LMIs). In the derivation of delay-dependent stability conditions, we define an appropriate Lyapunov-Krasovskii functional and use a free weighting matrix method and Jensen’s inequality, whic...

This paper is concerned with the stability of linear systems a time-varying delay. First, we derive new form constrained quadratic matrix inequality for reciprocally convex inequality. Second, an equivalent transform into inequality(LMI) derived. Third, upper bound time derivative Lyapunov Krasovskii functional(LKF), in matrix, obtained, and done to make it LMI. Finally, improvement shown throu...

The robust exponential stability is investigated for a class of uncertain neutral-type neural networks with discrete and distributed time-varying delays. By introducing a new vector Lyapunov-Krasovskii functional, using Jensen integral inequality, free-weighting matrix method and linear matrix inequality techniques, delay-dependent sufficient conditions are obtained for exponential stability of...

In this chapter, we propose to use a parametric multiplier approach to deriving parametric Lyapunov functions for robust stability analysis of linear systems involving uncertain parameters. This new approach generalizes the traditional multiplier approach used in the absolute stability literature where the multiplier is independent of the uncertain parameters. Our main result provides a general...

Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...