Journal ArticleDOI
Convergence property of interval matrices and interval polynomials
Takehiro Mori,Hideki Kokame +1 more
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In this paper, the convergence properties of interval matrices and interval polynomials have been studied in comparison with the Hurwitz counterpart, and conditions under which the convergence property of these matrices are convergent are derived.Abstract:
In association with robust control-system design and analysis, the Hurwitz property of interval matrices and interval polynomials has recently been actively investigated. However, its discrete counterpart, the convergence property, has seemingly not been much discussed. In this paper, this property is studied in comparison with the Hurwitz counterpart. Some conditions under which interval matrices or interval polynomials are convergent are derived.read more
Citations
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TL;DR: A general branch and bound algorithm is presented that implements an exhaustive search in parameter space in a systematic manner and applies it to computing the minimum stability degree.
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A survey of extreme point results for robustness of control systems
B.R. Barmish,H. I. Kang +1 more
TL;DR: Conditions are given under which satisfaction of a performance specification is ascertained for a family of systems by only checking a finite subset of the extreme members of this family by Kharitonov's Theorem.
Proceedings ArticleDOI
Robust Stability of Networked Control Systems with Time-varying Network-induced Delays
TL;DR: In this article, the stability of a networked control system with time-varying delays is analyzed and conditions in terms of LMIs are presented guaranteeing the robust asymptotic stability of the discrete-time system.
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Brief paper: Stability analysis of discrete-time iterative learning control systems with interval uncertainty
TL;DR: This paper presents a stability analysis of the iterative learning control (ILC) problem for discrete-time systems when the plant Markov parameters are subject to interval uncertainty, using the so-called super-vector approach to ILC to develop sufficient conditions for both asymptotic stability and monotonic convergence of the ILC process.
Journal ArticleDOI
Stability of a polytope of matrices: counterexamples
B.R. Barmish,Minyue Fu,S. Saleh +2 more
TL;DR: In this article, counterexamples illustrate the fundamental differences between polynomial and matrix-stability problems and indicate that some obvious lines of attack on the matrix polytope stability problem will fail.
References
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Journal ArticleDOI
Improved measures of stability robustness for linear state space models
TL;DR: In this article, a bound on the structured perturbation of an asymptotically stable linear system is obtained to maintain stability using a Lyapunov matrix equation solution.
Journal ArticleDOI
Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems
TL;DR: In this article, the authors gave an elegant and simple stability criterion for continuous-time systems and reported on similar results for discrete-time system, which is similar to the one in this paper.
Journal ArticleDOI
A necessary and sufficient condition for the stability of interval matrices
TL;DR: In this article, it was proved that there is a necessary and sufficient condition for the stability of linear dynamical systems with incomplete information about the elements of matrix A, where A is a constant, real matrix with dimensions n × n.
Journal Article
Necessary and Sufficient Conditions for the Stability of Interval Matrices
Stanisław Białas,M. Jakubowska +1 more
TL;DR: In this paper, it was proved that there is a necessary and sufficient condition for the stability of linear dynamical systems with incomplete information about the elements of matrix A, where A is a constant, real matrix with dimensions n × n.
Journal ArticleDOI
Counter-example to a recent result on the stability of interval matrices by S. Bialas
B. R. Barmish,C. V. Hollot +1 more
TL;DR: In this paper, it was shown that the condition given in Bialas (1983) is not sufficient for the stability of interval matrices, and a counter-example showed that it is not necessary and sufficient.
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