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State Feedback in General Discrete-Time Systems

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Operators, Systems and Linear Algebra

Part of the book series: European Consortium for Mathematics in Industry ((XECMI))

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Abstract

A characterization is given for the class of systems obtainable by static state feedback in a general discrete-time system. To this extent, an input output description of such systems is given. A definition is given of feedback and the problem of the determining the feedback class, and a definition of state response maps. The concept of the Nerode map and equivalence enables us to give an algebraic treatment of the problem.

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References

  1. Brunovsky P., “A classification of linear systems”, Kybernetika 44, 1970, pp. 173–188

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  2. Hautus M.L.J. & HEYMANN MICHAEL, “Feedback- An algebraic approach”, SIAM J. Control 16, 1978, pp. 83–105

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  3. Kalman R.E., Falb P.L., Arbib M.A., “Topics in mathematical Systems Theory”, McGraw-Hill, New York, 1969

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  4. Wolovich W.A., “Linear Multivariable Control”, Lecture Notes in Economics and Mathematical Systems 101, Springer Verlag, Berlin, 1974

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© 1997 Springer Fachmedien Wiesbaden

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Hautus, M.L.J. (1997). State Feedback in General Discrete-Time Systems. In: Helmke, U., Prätzel-Wolters, D., Zerz, E. (eds) Operators, Systems and Linear Algebra. European Consortium for Mathematics in Industry. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09823-2_8

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  • DOI: https://doi.org/10.1007/978-3-663-09823-2_8

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-09824-9

  • Online ISBN: 978-3-663-09823-2

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