Bounded control and discrete-time controllability. (English) Zbl 0595.93008

Evans, M. E.

Int. J. Syst. Sci. 17, 943-951 (1986).

Linear, finite-dimensional, time-invariant, discrete control systems are considered. Using the methods of convex analysis, necessary and sufficient conditions for complete controllability in finite time are formulated. It is assumed that the values of controls are taken from an arbitrary bounded and convex set, which does not necessarily contain the origin as a relative interior point. It is also noted that the class of systems that are bounded input controllable includes systems which are unstable. Partially, the paper extends the results given by B. Herz [”A contribution about controllability”, Advances in control systems and signal processing, Vol. 2, 275-298 (1981; Zbl 0499.93002)].

Reviewer: J.Klamka

MSC:

93B05	Controllability
93B03	Attainable sets, reachability
93C55	Discrete-time control/observation systems
52A20	Convex sets in \(n\) dimensions (including convex hypersurfaces)
93C05	Linear systems in control theory
93C99	Model systems in control theory

Keywords:

Linear, finite-dimensional, time-invariant, discrete control; systems; complete controllability; Linear, finite-dimensional, time-invariant, discrete control systems

References:

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