A necessary and sufficient condition for the stability of interval matrices

Białas, Stanisław

doi:10.1080/00207178308933004

Cited by 131 publications

(44 citation statements)

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“…Après qu'il aété montréà l'aide de contre-exemples que la conjecture des sommets proposée par Bialas [12] etait fausse, des méthodes géométriques [16] et combinatoires [55] ont permis de proposer des conditions nécessaires et suffisantes qui ne sont toutefois pas opérationnelles ou difficilement testables numériquement. En combinant la théorie de Lyapunov et la théorie des jeux, Chen [15] a proposé une interprétation nouvelle du problème 3.…”

Section: Problèmeunclassified

Optimisation et théorie de la commande robuste

Arzelier¹,

Bernussou²,

Henrion³

et al. 2003

J3eA

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Section: Problèmeunclassified

Optimisation et théorie de la commande robuste

Arzelier¹,

Bernussou²,

Henrion³

et al. 2003

J3eA

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“…The unsuccessful attempts to generalize the result of the work [8] for the case of interval matrices [3], [4], [7] and the results of the book [9] show that the stability problem for interval matrices is NP-hard.…”

Section: Introductionmentioning

confidence: 99%

Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity

Ivlev¹,

Sokolova

2006

Reliable Comput

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“…Extensive researches were investigated by control engineers (Bialas, 1983;James, 1984) from the view point of stability and robustness analysis. Hudak (1984) investigated ways of finding a constant matrix such that the certain constraint condition with the interval matrix given.…”

Section: Introductionmentioning

confidence: 99%