Maria Isabel Garcia-Planas, "Minimal Set of Generators of Controllability Space for Singular Linear Dynamical Systems," WSEAS Transactions on Systems, vol. 17, pp. 156-165, 2018, DOI:
Maria Isabel Garcia-Planas. Minimal Set of Generators of Controllability Space for Singular Linear Dynamical Systems.
WSEAS Transactions on Systems. 2018;17:156-165.
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 17, 2018
Minimal Set of Generators of Controllability Space for Singular Linear Dynamical Systems
Author:
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
Pages: 156-165 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #17 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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