This paper deals with the problem of delay-dependent stability criterion of uncertain periodic switched recurrent neural networks with time-varying delays.When uncertain discrete-time recurrent neural network is a periodic system, it is expressed as switched neural network for the finite switching state. Based on the switched quadratic Lyapunov functional approach SQLF and freeweighting matrix ...

This paper investigates the robust H∞ reliable control for a class of uncertain switched nonlinear systems with time delay. Firstly, a criterion of exponential stability with H∞ performance for switched nonlinear systems with time delay is proposed. Then, a design methodology of the robust H∞ reliable control for switched nonlinear systems with time delay and parameter uncertainties is presente...

The dynamic output feedback robust H-infinity control problem is investigated for switched linear systems with exponential uncertainties in this note. Aiming at the effect of exponential uncertainties, we firstly treats the uncertain exponential terms as polynomial uncertainty with an additive norm bounded uncertainty based on Taylor series approximation and convex polytopic technique. Secondly...

The aim of this paper is to give sufficient conditions for a switched linear system defined by a pair of Hurwitz matrices that share a common but not strict quadratic Lyapunov function to be GUAS. We show that this property is equivalent to the uniform observability on [0,+∞) of a bilinear system defined on a subspace whose dimension is in most cases much smaller than the dimension of the switc...

In this paper, H∞ controller is synthesized for networked systems subject to random transmission delays with known upper bound and different occurrence probabilities in the both of feedback (sensor to controller) and forward (controller to actuator) channels. A remote observer is employed to improve the performance of the system by computing non-delayed estimates of the sates. The closed-loop s...

For discontinuous switched linear systems, even when they are built by composing stable systems, examples of unstable systems are known. Here, threedimensional homogeneous continuous piecewise linear systems composed by two linear systems sharing a boundary plane are considered. If the two linearization matrices are non-singular, then the only equilibrium point is at the origin, which is in the...

This paper studies time-delayed switched systems that include both stable and unstable modes. By using multiple Lyapunov functions technique and a dwell time approach, several criteria on exponential stability for both linear and nonlinear systems are established. It is shown that by suitably controlling the switching between the stable and unstable modes exponential stabilization of the switch...

In this note we consider the stability properties of a system class that arises in the control design problem of switched linear systems. The control design we are studying is based on a classical pole-placement approach.We analyse the stability of the resulting switched systemanddevelop analytic conditionswhich reduce the complexity of the stability problem. We further consider two special cas...

The exponential stabilizability of switched nonlinear systems with polytopic uncertainties is explored by employing themethods of nonsmooth analysis and theminimum quadratic Lyapunov function. The switchings among subsystems are dependent on the directional derivative along the vertex directions of subsystems. In particular, a sufficient condition for exponential stabilizability of the switched...