On the representation of 2-D systems
Paula Rocha, Jan C. Willems (1991)
Kybernetika
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Paula Rocha, Jan C. Willems (1991)
Kybernetika
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Jerzy Stefan Respondek (2008)
International Journal of Applied Mathematics and Computer Science
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The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. This innovative approach was possible owing to analyzing the n-th order linear system in the Frobenius form which generates a Jordan transition matrix of the Vandermonde form. We extensively used the fact that the knowledge of the inverse of a Jordan transition matrix enables...
Olivier Sename, Jean-François Lafay, Rabah Rabah (1995)
Kybernetika
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Martin Bohner, Nick Wintz (2012)
Mathematica Bohemica
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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.