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Necessary and Sufficient Conditions on Quadratic Stablizability for Polytopic Uncertain Continuous-Time Switched Linear Systems

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 65))

Abstract

In this paper we study quadratic stabilizability via state feedback for continuous-time switched linear systems whose subsystem’s matrices are represented as a polytopic linear combination of vertex matrices. Necessary and sufficient conditions for polytopic uncertain continuous - time switched linear systems composed of two subsystems to be quadratically stabilizable via state feedback are proved.

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© 2009 Springer-Verlag Berlin Heidelberg

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Otsuka, N., Soga, T. (2009). Necessary and Sufficient Conditions on Quadratic Stablizability for Polytopic Uncertain Continuous-Time Switched Linear Systems. In: Ślęzak, D., Kim, Th., Stoica, A., Kang, BH. (eds) Control and Automation. CA 2009. Communications in Computer and Information Science, vol 65. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10741-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-10741-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10742-9

  • Online ISBN: 978-3-642-10741-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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