New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems

Robust Finite-Time Control of Discrete-Time Switched Positive Time-Varying Delay Systems with Exogenous Disturbance and Their Application

“…On the other hand, all the research referred to above was mainly focused on only stable (bounded) subsystems. In practical applications, the switched systems, including the stable (bounded) subsystems and unstable (unbounded) subsystems, can be widely implemented (see [52][53][54][55][56][57][58]). Among them, in [52], Li et al discussed the FTS and FTB issues of nonlinear switched systems with subsystems that are not finite-time stable or finite-time bounded by using ADT switching.…”

“…For the stability analysis, the result of nonlinear switched time-delay systems, including stable and unstable subsystems, was reported in [55]. Next, Pashaei and Hashemzadeh [56] solved the problem of FTS and FTB for linear switched delayed systems with finite-time unstable and unbounded subsystems by employing ADT switching. More recently, Mouktonglang and Yimnet [59] studied the FTB of linear uncertain switched positive time-varying delay systems with finite-time unbounded subsystems and exogenous disturbance by using MDADT switching.…”

Finite-Time Boundedness of Linear Uncertain Switched Positive Time-Varying Delay Systems with Finite-Time Unbounded Subsystems and Exogenous Disturbance

“…The researches mentioned above mainly concentrate on the only stable (bounded) subsystems. Nevertheless, the switched systems composing both stable (bounded) subsystems and unstable (unbounded) subsystems can be implemented widely in practical applications [40][41][42][43][44]. Among them, in [40], Pashaei and Hashemzadeh derived new FTS and FTB conditions for linear switched delayed systems with finite-time unstable and unbounded subsystems by using the ADT tactic.…”

“…Nevertheless, the switched systems composing both stable (bounded) subsystems and unstable (unbounded) subsystems can be implemented widely in practical applications [40][41][42][43][44]. Among them, in [40], Pashaei and Hashemzadeh derived new FTS and FTB conditions for linear switched delayed systems with finite-time unstable and unbounded subsystems by using the ADT tactic. Meanwhile, in [41], Tan et al investigated FTS and FTB problems of switched systems consisting of both finite-time stable and unstable subsystems by employing the MDADT method.…”

“…(iii) The corresponding result for SPSs, including time-varying delay and exogenous disturbance without interval uncertainties, is also provided. (iv) Unlike the existing results in [36,37,40,[42][43][44], both the SMDADT and FMDADT methods that are less conservative and more applicable in practice than the ADT switching law are employed for studying the FTB of the systems.…”