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Cited by 591 publications
(264 citation statements)
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“…Moreover, comparing with the corresponding existed results in [7,16,24,30], Theorem 3.1 has two advantages. One is the conditions for Theorem 3.1 are less than those, i.e., there are only two inequalities (3.1) and (3.2) are needed for this theorem, but there is another condition (i.e., V i µV j , µ 1, i = j, i, j ∈ I) for the existed results besides these common conditions (inequalities (3.1) and (3.2).…”
Section: All Subsystems Of the Switched System Are Gasimmentioning
confidence: 99%
See 1 more Smart Citation
“…Moreover, comparing with the corresponding existed results in [7,16,24,30], Theorem 3.1 has two advantages. One is the conditions for Theorem 3.1 are less than those, i.e., there are only two inequalities (3.1) and (3.2) are needed for this theorem, but there is another condition (i.e., V i µV j , µ 1, i = j, i, j ∈ I) for the existed results besides these common conditions (inequalities (3.1) and (3.2).…”
Section: All Subsystems Of the Switched System Are Gasimmentioning
confidence: 99%
“…About the MLF method, it is well known that the switched system is globally stable for any switching signal if the time between consecutive switching (i.e., dwell time) is sufficiently large when all subsystems are stable. Also, some results have appeared in recent works to compute lower bounds of the dwell time [7,12,15,24,30]. However, it seems very hard to obtain the minimal dwell time for a given switched system, even for the switched linear systems.…”
Section: Introductionmentioning
confidence: 99%
“…The stability of arbitrary switching control is so far attributed to the common Lyapunov function method [15,16], multiple Lyapunov function method [17,18], and dwell time method [19,20]. The common Lyapunov method ensures that if each subsystem shares a common Lyapunov function, then the switching system could maintain the stability under arbitrary switching.…”
Section: Introductionmentioning
confidence: 99%
“…The switching signal coordinates the operation of the various subsystems to define which one to be activated during a certain interval. Switched systems have numerous applications in the control of mechanical systems, the automotive industry, aircraft, air traffic control, switching power converters, chemical processes, and other fields [5,19,20,[38][39][40].…”
Section: Introductionmentioning
confidence: 99%