Controllability indices of linear systems with delays
Olivier Sename, Jean-François Lafay, Rabah Rabah (1995)
Kybernetika
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Olivier Sename, Jean-François Lafay, Rabah Rabah (1995)
Kybernetika
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Cabral, Isabel, Silva, Fernando C. (1995)
Portugaliae Mathematica
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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...
Henry Hermes (1976)
Banach Center Publications
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Mario Sigalotti, Jean-Claude Vivalda (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of covering its surface. The model couples Newton's laws driving the organism, considered as a rigid body, with Stokes equations governing the surrounding fluid. The action of the is described by a set of controlled velocity fields on the surface of the organism. The first contribution of the paper is the proof that such a system is generically controllable...
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.
Boukhamla, R., Mazouzi, S. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Nieto, Juan J., Tisdell, Christopher C. (2010)
Advances in Difference Equations [electronic only]
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