Controllability and observability of hybrid systems

Ezzine, Jelel; Haddad, A.

doi:10.1080/00207178908961371

Cited by 27 publications

(29 citation statements)

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“…See the appendix. & Now, we turn to switched linear system (1) and its sampled-data system (5). As the sampled-data system corresponds to the original system (1) with synchronous switching time sequence and piecewise constant control inputs, the controllable subspace of the original system includes that of the sampled-data system as a subset.…”

Section: Article In Pressmentioning

confidence: 99%

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Sampling and control of switched linear systems

Sun

2004

Journal of the Franklin Institute

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Section: Article In Pressmentioning

confidence: 99%

“…The reader is referred to [1,2] for surveys of recent developments. For controllability issues, studies for second-order switched linear systems have been reported in [3,4]; criteria for controllability were presented in [5][6][7][8] for several classes of switched systems; and the complexity issues were addressed in [9].…”

Section: Introductionmentioning

confidence: 99%

Sampling and control of switched linear systems

Sun

2004

Journal of the Franklin Institute

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“…Now let us investigate the stabilization of system (1). Under this assumption, according to Lemma 1, there exists a critical dwell time d c , which is defined by (6), such that the switched subsysteṁ…”

Section: Asymptotical Stabilization Of Switched Systems With Stabilizmentioning

confidence: 99%

Critical dwell time of switched linear systems

Zhang

2006

J. Control Theory Appl.

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In this paper, we consider the relation between the switching dwell time and the stabilization of switched linear control systems. First of all, a concept of critical dwell time is given for switched linear systems without control inputs, and the critical dwell time is taken as an arbitrary given positive constant for a switched linear control systems with controllable switching models. Secondly, when a switched linear system has many stabilizable switching models, the problem of stabilization of the overall system is considered. An on-line feedback control is designed such that the overall system is asymptotically stabilizable under switching laws which depend only on those of uncontrollable subsystems of the switching models. Finally, when a switched system is partially controllable (While some switching models are probably unstabilizable), an on-line feedback control and a cyclic switching strategy are designed such that the overall system is asymptotically stabilizable if all switching models of this uncontrollable subsystems are asymptotically stable. In addition, algorithms for designing switching laws and controls are presented.

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“…In the case of controllability, studies for low-order switched control systems consisting of linear subsystems have been presented in [6]. Moreover, some necessary and sufficient conditions for controllability of switched control systems are presented in [7,8] under the assumption that the switching strategy is fixed a priori. In [9], some necessary and sufficient condition for the controllability and reachability of switched control systems consisting of linear continuous-time timeinvariant subsystems is presented.…”

Section: Introductionmentioning

confidence: 99%