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Maria Isabel Garcia-Planas

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Maria Isabel Garcia-Planas

WSEAS Transactions on Systems

Print ISSN: 1109-2777
E-ISSN: 2224-2678

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

Minimal Set of Generators of Controllability Space for Singular Linear Dynamical Systems

AUTHORS: Maria Isabel Garcia-Planas

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ABSTRACT: Due to the significant role played by singular systems in the form Ex˙(t) = Ax(t), on mathematical modeling of science and engineering problems; in the last years recent years its interest in the descriptive analysis of its structural and dynamic properties. However, much less effort has been devoted to studying the exact controllability by measuring the minimum set of controls needed to direct the entire system Ex˙(t) = Ax(t) to any desired state. In this work, we focus the study on obtaining the set of all matrices B with a minimal number of columns, by making the singular system Ex˙(t) = Ax(t) + Bu(t) controllable.

KEYWORDS: Controllability, exact controllability, eigenvalues, eigenvectors, singular linear systems


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WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #17, pp. 156-165

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