Stability analysis for discrete-time switched time-delay systems

Dwell‐time computation for stability of switched systems with time delays

“…For the finite-dimensional linear systems, asymptotic stability of the system implies the exponential stability while for the infinite-dimensional systems, this is not the case [31,55]. The papers [1,6,8,20,54] deal with finite-dimensional systems. In [28], piecewise Lyapunov-Razumikhin functions are used to find a dwell time for the stability.…”

Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties

“…Switched systems have drawn a great deal of attention in recent years, see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and references therein. The motivation for studying switched systems comes partly from the fact that switched systems and switched multi-controller systems have numerous applications in control of mechanical systems, process control, automotive industry, power systems, aircraft and traffic control, and many other fields.…”

“…During the last decades, the stability analysis of switched linear continuous/discrete time-delay systems has attracted a lot of attention [4][5][6][7][8]. The main approach for stability analysis relies on the use of Lyapunov-Krasovskii functionals and linear matrix inequlity (LMI) approach for constructing a common Lyapunov function [8][9][10]. Although many important results have been obtained for switched linear continuous-time systems, there are few results concerning the stability of switched linear discrete systems with time-varying delays.…”

“…It was shown in [5,7,11,12] that when all subsystems are asymptotically stable, the switching system is asymptotically stable under an arbitrary switching rule. The asymptotic stability for switching linear discrete time-delay systems has been studied in [10], but the result was limited to constant delays. In [11,12], a class of switching signals has been identified for the considered switched discrete-time delay systems to be stable under the average dwell time scheme.…”

New sufficient conditions for the asymptotic stability of discrete time-delay systems

“…A switched system with time-delay individual subsystems is called a switched time-delay system; in particular, when the subsystems are linear, it is then called a switched time-delay linear system. During the last decades, the stability analysis of switched linear continuous/discrete time-delay systems has attracted a lot of attention [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The main approach for stability analysis relies on the use of Lyapunov-Krasovskii functionals and linear matrix inequlity (LMI) approach for constructing a common Lyapunov function [19][20][21][22][23][24].…”