In this chapter basic information about linear differential equations are recalled and the main concepts of control theory, controllability and observability, are studied. Specific formulae for controls transferring one state onto another as well as algebraic characterizations of controllable and observable systems are obtained. A complete classification of controllable systems with one-dimensional input is given.
CITATION STYLE
Zabczyk, J. (2020). Controllability and observability. In Systems and Control: Foundations and Applications (pp. 3–20). Birkhauser. https://doi.org/10.1007/978-3-030-44778-6_1
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