Global Practical Stabilization of Discrete-time Switched Affine Systems via Switched Lyapunov Functions and State-dependent Switching Functions

Design of Observer-based H∞ Controller for Robust Stabilization of Networked Systems Using Switched Lyapunov Functions

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...

Equivalence between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems

The paper deals with the stability properties of linear discrete-time switched systems with polytopic sets of modes. The most classical and viable way of studying the uniform asymptotic stability of such a system is to check for the existence of a quadratic Lyapunov function. It is known from the literature that letting the Lyapunov function depend on the time-varying switching parameter improv...

Comparison between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems

The paper deals with the stability properties of linear discrete-time switched systems with polytopic sets of modes. The most classical way of studying the uniform asymptotic stability of such a system is to check for the existence of a quadratic Lyapunov function. It is known from the literature that letting the Lyapunov function depend on the time-varying switching parameter improves the chan...

Stabilization Analysis for the Switched Large-Scale Discrete-Time Systems via the State-Driven Switching

Lyapunov functions for switched linear hyperbolic systems

Systems of conservation laws and systems of balance laws are considered in this paper. These kinds of infinite dimensional systems are described by a linear hyperbolic partial differential equation with and without a linear source term. The dynamics and the boundary conditions are subject to a switching signal that is a piecewise constant function. By means of Lyapunov techniques some sufficien...