Abstract
In this note we first present a brief overview of recent research concerning stability radii of discrete-time linear time-invariant systems under complex parameter perturbations of the output feedback type. An algorithm for the computation of the complex stability radius is presented. Then using a new perturbation result we show that the distance of a stable real system x(t+1) = Ax(t) from instability is bounded by the distance of its spectrum from the unit circle. Finally, the robustness of a stable system under nonlinear and/or time-varying parameter perturbations is investigated.
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© 1991 Springer Science+Business Media New York
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Hinrichsen, D., Pritchard, A.J. (1991). On the robustness of stable discrete time linear systems. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_49
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_49
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
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