Explicit construction of a Barabanov norm for a class of positive planar discrete-time linear switched systems

Explicit construction of a Barabanov norm for a class of positive planar discrete-time linear switched systems

We consider the stability under arbitrary switching of a discrete–time linear switched system. A powerful approach for addressing this problem is based on studying the “most unstable” switching law (MUSL). If the solution of the switched system corresponding to the MUSL converges to the origin, then the switched system is stable for any switching law. The MUSL can be characterized using optimal...

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

A new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem

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...

Stabilization of Discrete-Time Planar Switched Linear Systems with Impulse

We study the stabilization problem of discrete-time planar switched linear systems with impulse. When all subsystems are controllable, based on an explicit estimation on the state transitionmatrix, we establish a sufficient condition such that the switched impulsive system is stabilizable under arbitrary switching signal with given switching frequency. When there exists at least one uncontrolla...

Explicit ABS Solution of a Class of Linear Inequality Systems and LP Problems