Reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems
Tadeusz Kaczorek, Przemysław Przyborowski (2009)
Control and Cybernetics
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Tadeusz Kaczorek, Przemysław Przyborowski (2009)
Control and Cybernetics
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Franco Blanchini (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...
Dorota Mozyrska, Zbigniew Bartosiewicz (2006)
Control and Cybernetics
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Taha H. S. Abdelaziz, Michael Valášek (2005)
Kybernetika
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This paper introduces a complete parametric approach for solving the eigenstructure assignment problem using proportional-plus-derivative feedback for second-order linear control systems. In this work, necessary and sufficient conditions that ensure the solvability for the second-order system are derived. A parametric solution to the feedback gain matrix is introduced that describes the available degrees of freedom offered by the proportional-plus-derivative feedback in selecting the...
Zbigniew Bartosiewicz, Ewa Pawłuszewicz (2006)
Control and Cybernetics
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