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Helmke, Uwe; Schönlein, Michael

Uniform ensemble controllability for one-parameter families of time-invariant linear systems. (English) Zbl 1296.93025

Syst. Control Lett. 71, 69-77 (2014).
Summary: In this paper, we derive necessary as well as sufficient conditions for approximate controllability of parameter-dependent linear systems in the supremum norm. Using tools from complex approximation theory, we prove the existence of parameter-independent open-loop controls that steer the zero initial state of an ensemble of linear systems uniformly to a prescribed family of terminal states. New necessary conditions for uniform ensemble controllability of single-input systems are derived. Our results extend earlier ones of Li for ensemble controllability of linear systems.

Cited in 16 Documents

MSC:

93B05 Controllability
93C05 Linear systems in control theory

Keywords:

approximate controllability; complex approximation; ensemble controllability; families of systems
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\textit{U. Helmke} and \textit{M. Schönlein}, Syst. Control Lett. 71, 69--77 (2014; Zbl 1296.93025)
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