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Minimal Set of Generators of Controllability Space for Singular Linear Systems

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Book cover Recent Advances in Differential Equations and Applications

Part of the book series: SEMA SIMAI Springer Series ((SEMA SIMAI,volume 18))

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Abstract

In recent years, there has been increasing the interest in the descriptive analysis of singular (also called generalized) systems in the form \(E\dot x(t)=Ax(t)\) because they play important roles in mathematical modelling problems permeating many aspects of daily life arising in a wide range of applications. Considerable advances have been obtained in the description of their structural and dynamical properties. However, much less effort has been devoted to studying the exact controllability measuring the minimum set of controls that are needed to steer the whole system \(E\dot x(t)=Ax(t)\) toward any desired state. In this paper, we focus the study on the obtention of the set of all B making the system \(E\dot x(t)=Ax(t)+Bu(t)\) controllable.

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Authors and Affiliations

  1. Universitat Politècnica de Catalunya, Barcelona, Spain

    María Isabel García-Planas

Authors
  1. María Isabel García-Planas
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Correspondence to María Isabel García-Planas .

Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, Murcia, Spain

    Juan Luis García Guirao

  2. Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, Murcia, Spain

    José Alberto Murillo Hernández

  3. Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena, Murcia, Spain

    Francisco Periago Esparza

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García-Planas, M.I. (2019). Minimal Set of Generators of Controllability Space for Singular Linear Systems. In: García Guirao, J., Murillo Hernández, J., Periago Esparza, F. (eds) Recent Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 18. Springer, Cham. https://doi.org/10.1007/978-3-030-00341-8_12

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