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Optimization problems in the robustness analysis of linear state space systems

Invited Lectures

Part of the Lecture Notes in Mathematics book series (LNM,volume 1354)

Abstract

In this paper we report on some recent results concerning the distance of a stable matrix A from the set of unstable matrices. Related optimization and optimal control problems are discussed in detail and new algorithms are presented for their solution.

Keywords

  • Optimal Control Problem
  • Hankel Operator
  • Algebraic Riccati Equation
  • Stable Matrix
  • Stability Radius

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1988 Springer-Verlag

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Hinrichsen, D., Motscha, M. (1988). Optimization problems in the robustness analysis of linear state space systems. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089583

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  • DOI: https://doi.org/10.1007/BFb0089583

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  • Print ISBN: 978-3-540-50443-6

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