Simultaneous stabilization of linear systems

Simultaneous Stabilization of Linear Systems is devoted to a single question from Linear Systems Theory: "When is it possible to find a controller that stabilizes a finite family of systems?", known as the Simultaneous Stabilization Question. This question is satisfactorily solved when the...

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Detaylı Bibliyografya
Yazar: Blondel, Vincent
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: London ; Paris [etc.] : Springer-Verlag : Springer e-books [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in control and information sciences 191
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Online Erişim:Accès sur la plateforme de l'éditeur
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Edition sous un autre format:• Simultaneous stabilization of linear systems, Vincent Blondel, London, Springer-Verlag, 1994, 1 vol. (xxi, 184 p.), Lecture notes in control and information sciences, 0-387-19862-8
• Simultaneous Stabilization of Linear Systems, Texte imprimé, 9783662182093
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505 0 |a Stabilization -- Youla-Kucera parametrization -- Necessary conditions: Interlacement -- Sufficient conditions: Special cases -- Necessary and sufficient conditions: Rational decidability. 
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520 |a Simultaneous Stabilization of Linear Systems is devoted to a single question from Linear Systems Theory: "When is it possible to find a controller that stabilizes a finite family of systems?", known as the Simultaneous Stabilization Question. This question is satisfactorily solved when the number of systems is limited to two but is open for three or more systems. This constitutes one of the important, longstanding open problems in Linear Systems Theory. Dr. Blondel reviews partial answers and discusses partial answers with equivalent formulations of the problem. Particular emphasis is placed on interlacement conditions. The parity and the interlacing conditions are presented in a clear and unified framework. The final chapter "proves" the latest research progress and shows that, contrary to most of the questions in Linear Systems Theory, there exists no necessary and sufficient conditions for simultaneous stabilization of three or more systems that involve only the coefficients of the systems and a combination of rational operations. 
650 |a Systèmes linéaires 
650 |a Commande automatique 
650 |a Ingénierie 
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