Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems

Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems

The stability robustness of linear discrete-time systems in the time domain is addressed using the Lyapunov approach. Bounds on linear time-varying perturbations that maintain the stability of an asymptotically stable linear time-invariant discrete-time nominal system are obtained for both structure...

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Veröffentlicht in:International journal of control 1989-07, Vol.50 (1), p.151-159
Hauptverfasser: KOLLA, S. R., YEDAVALLI, R. K., FARISON, J. B.
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Sprache:eng
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Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
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container_title International journal of control
container_volume 50
creator KOLLA, S. R.
YEDAVALLI, R. K.
FARISON, J. B.
description The stability robustness of linear discrete-time systems in the time domain is addressed using the Lyapunov approach. Bounds on linear time-varying perturbations that maintain the stability of an asymptotically stable linear time-invariant discrete-time nominal system are obtained for both structured and unstructured independent perturbations. Bounds are also derived assuming that various elements of the system matrix are perturbed dependently. The result for the structured perturbation case is extended to the stability analysis of interval matrices.
doi_str_mv 10.1080/00207178908953354
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subjects Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
title Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems
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