On accessibility conditions for state space nonlinear control systems on homogeneous time scales

Bartosiewicz, Zbigniew; Kotta, Ülle; Mullari, Tanel; Tõnso, Maris; Wyrwas, Małgorzata

doi:10.1016/j.sysconle.2016.09.018

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“…The concepts of controllability, observability, and realization have been introduced in previous works [27][28][29] for linear systems evolving on arbitrary time scales. Recently, some characterizations related to these concepts have been presented in previous studies [30][31][32][33][34]. However, the development of such control issues for time-varying linear dynamic equations using linear algebra tools is still not covered.…”

Section: Introductionmentioning

confidence: 99%

Time scale reachability and controllability of time‐varying linear systems

Nasser

Djemaï

Defoort

et al. 2021

Asian Journal of Control

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In this paper, we investigate the analysis of reachability and controllability for time‐varying linear systems evolving on nonuniform time domains also known as arbitrary time scales. Based on appropriate operators, some necessary and sufficient conditions are derived to guarantee the reachability for this class of systems using linear algebra tools. Furthermore, a link between optimality and the proposed operators is given. Then, the connection between reachability and controllability analysis on arbitrary time scales is discussed. Through the paper, some examples illustrate the theoretical results.

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