Weighting patterns and the controllability and observability of time-variable 2D continuous-discrete linear systems.
Prepeliţă, V., Pîrvan, M., Giurcanu, M. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Prepeliţă, V., Pîrvan, M., Giurcanu, M. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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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...
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.
Rafael Bru, Louis Caccetta, Ventsi Rumchev (2005)
International Journal of Applied Mathematics and Computer Science
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A generic structure of reachable and controllable positive linear systems is given in terms of some characteristic components (monomial subdigraphs) of the digraph of a non-negative a pair. The properties of monomial subdigraphs are examined and used to derive reachability and controllability criteria in a digraph form for the general case when the system matrix may contain zero columns. The graph-theoretic nature of these criteria makes them computationally more efficient than their...
Olivier Sename, Jean-François Lafay, Rabah Rabah (1995)
Kybernetika
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Datta, B.N. (1980)
International Journal of Mathematics and Mathematical Sciences
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Paula Rocha, Jan C. Willems (1991)
Kybernetika
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Ornella Naselli Ricceri (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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In this Note, applying our recent Theorem 3.1 of [7], we prove that suitable perturbations of a completely controllable linear control system, do not affect the controllability of the system.