Novel delay-partitioning approach on stability of uncertain discrete switched time-delay systems via switching signal design

Asymptotic stability and stabilization of discrete‐time switched systems with time‐varying delay

“…However, it is hard to know the length in the practice. Furthermore, some switching design techniques have been proposed in some recent works like References 4,7‐10, and 32, to guarantee the stability and performance of discrete‐time SLTVD systems. It is to note that the selection of switching domains will constitute the basis of the switching signal.…”

“…Switched systems represent an important class of hybrid dynamical systems, which are composed by a family of continuous or discrete‐time subsystems and use a switching rule that specifies the active subsystem at each instant of time; see, for example, the books 1,2 . They have attracted considerable attention due to their large applications in various areas such as robot manufacturing, constrained robotics, stepper motors, chemical process, water quality control, flight and air control, power electronics, communication networks, automate highway, control of mechanical systems, aircraft traffic control, and several other fields; see, for example, References 3‐12 and the references therein.…”

“…Recently, many efforts have been made and many works have been done, by proposing several advanced techniques or by improving some existing results in the literature in order to study or to reduce the conservatism of different classes of switched systems. Either continuous case or discrete‐time case, are considered for whether switched linear systems without delay (SLs), for example, in References 18‐21, or switched linear systems with constant delay (SLTDs); see, for example, References 22‐28 or with time‐varying delay (SLTVDs); see References 4,7,9,23,29‐39. Specifically, stability and stabilization of such systems are studied.…”

H∞ filtering of discrete‐time switched singular systems with time‐varying delays

“…[9][10][11] As far as we know, switched systems belong to a hybrid dynamical system, which consist of a finite number of continuous or discrete-time subsystems and a logical rule that supervises the switching between these subsystems at each instant of time. 12 However, many practical processes can be modeled as switched systems, such as control of mechanical systems, power systems, chemical processes, network control systems, embedded systems, power electronics, automate highway systems, constrained robotics, robot manufacture, and various other fields [12][13][14][15][16][17][18] and the references therein. Over the past few decades, many advanced approaches have been proposed to study the problems of stability and stabilization of switched linear systems with or without time-delay; see, e.g.…”

“…Over the past few decades, many advanced approaches have been proposed to study the problems of stability and stabilization of switched linear systems with or without time-delay; see, e.g. References 13,[15][16][17][19][20][21][22]. The problems of control of this type of systems have been investigated by several works such as References 23-25 and the references therein.…”