Abstract
In this chapter basic information about linear differential equations are recalled and the main concepts of control theory, controllability and obervability, 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.
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© 2008 Birkhäuser Boston
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Zabczyk, J. (2008). Controllability and observability. In: Mathematical Control Theory. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4733-9_2
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DOI: https://doi.org/10.1007/978-0-8176-4733-9_2
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4732-2
Online ISBN: 978-0-8176-4733-9
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