2015
DOI: 10.1007/978-3-319-15702-3_30
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Controllability of Discrete-Time Linear Switched Systems with Constrains on Switching Signal

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Cited by 27 publications
(4 citation statements)
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“…These conditions are the extension to the case of T-controllability of first-order dynamical control systems without delays [8]. Finally, it should be pointed out, that the obtained results could be extended in many directions: discrete-time [10,12,13,14]; second-order dynamical control [6,15]; linear fractional discrete-time [16,17,18]; switched systems [19,20,21,22,23,24,25,26,27,28,29]; infinite-dimensional systems [30] and fractional differential inclusions [31,32]. Moreover, controllability is strongly connected with the so-called minimum energy control problem [33,34,35,36,37,38,39,40,41].…”
Section: Discussionmentioning
confidence: 73%
“…These conditions are the extension to the case of T-controllability of first-order dynamical control systems without delays [8]. Finally, it should be pointed out, that the obtained results could be extended in many directions: discrete-time [10,12,13,14]; second-order dynamical control [6,15]; linear fractional discrete-time [16,17,18]; switched systems [19,20,21,22,23,24,25,26,27,28,29]; infinite-dimensional systems [30] and fractional differential inclusions [31,32]. Moreover, controllability is strongly connected with the so-called minimum energy control problem [33,34,35,36,37,38,39,40,41].…”
Section: Discussionmentioning
confidence: 73%
“…Moreover, referring to the results of [22,23,24] subsystems of the object of interest may be unstable or on the stability boundary and may be unobservable. For this reason, we plan to perform an analysis of such properties as stability, controllability and observability [25,26,27,28,29]. In the long run, it is reasonable to expand the resulting model by means of representing it as fractional order system or discrete system [30,31].…”
Section: Discussionmentioning
confidence: 99%
“…Based on previous research, many mathematical problems have been posed and investigated such as stability and stabilizability properties [5,6]. Recent studies examined other issues such as reachability and controllability [7][8][9][10][11][12][13]. It is important to note that Babiarz [14] provided important results on the output controllability for standard switched systems.…”
Section: Introductionmentioning
confidence: 99%