MATHEMATICA BOHEMICA, Vol. 137, No. 2, pp. 149-163, 2012

Controllability and observability of time-invariant linear dynamic systems

Martin Bohner, Nick Wintz

Martin Bohner, Nick Wintz: Missouri University of Science and Technology, Department of Mathematics and Statistics, Rolla, MO 65409-0020, USA, e-mail: bohner@mst.edu, njwn7d@mst.edu

Abstract: In the paper, we unify and extend some basic properties for linear control systems as they appear in the continuous and discrete cases. In particular, we examine controllability, reachability, and observability for time-invariant systems and establish a duality principle.

Keywords: time scale, dynamic equation, exponential function, controllability, reachability, observability, duality principle, time invariance

Classification (MSC 2010): 34N05, 93B05, 93B07


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