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This paper is concerned with the asynchronous consensus problem of agents with double-integrator dynamics under time-invariant interaction topology. It is assumed that each agent measures its states relative to its neighbors only at discrete times and the discrete times of each agent are independent of the others'. It is shown that the asynchronous consensus is equivalent to the globally asymptotically...
This paper studies the problem of Hinfin output tracking control for discrete-time networked control systems (NCSs) with and without parameter uncertainty. By defining new Lyapunov function and using the discrete Jensen inequality, linear matrix inequality (LMI)-based Hinfin output tracking performance analysis and controller design are presented, and the merit of the proposed methods lies in their...
The robust stabilization problem for switched uncertain systems with saturating actuators is addressed here. The systems considered are discrete-time with parametric uncertainties entering all the matrices in the system representation. A switching control law is designed and a region is specified in which the stability of the closed-loop system is ensured by using the composite Lyapunov function,...
Based on multiple Lyapunov functions methodology, we study disturbance attenuation of discrete-time switched linear systems. A bilinear matrix inequalities (BMIs) based condition is derived to stabilize the switched system with a prescribed disturbance attenuation level Upsi when only switching can be utilized in the control of systems. This condition can be dealt with as linear matrix inequalities...
This paper considers the stability and stabilization of switched descriptor systems in discrete-time domain. First, the concept of regularity, causality are formulated for such systems. Next, the stability under arbitrary switching signals are investigated. The common Lyapunov functional method and the switched Lyapunov functional method are extended from the regular switched linear systems to the...
In this paper, the problem of stability analysis and control synthesis of discrete-time switched systems with delayed states is addressed. Two different linear matrix inequality-based conditions are given which guarantee the existence of a switched quadratic Lyapunov function for asymptotic stability of the switched systems under consideration. The obtained linear matrix inequality conditions can...
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