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Simultaneous Stabilization of Linear Systems

Simultaneous Stabilization of Linear Systems
Author: Vincent Blondel
Publisher: Springer Verlag
Total Pages: 184
Release: 1994
Genre: Automatic control.
ISBN: 9780387198620

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Internal and External Stabilization of Linear Systems with Constraints

Internal and External Stabilization of Linear Systems with Constraints
Author: Ali Saberi
Publisher: Springer Science & Business Media
Total Pages: 846
Release: 2012-06-21
Genre: Science
ISBN: 0817647872

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Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and design of linear systems with general state and input constraints. For such systems, which can be used as models for most nonlinear systems, the issues of stability, controller design, additonal constraints, and satisfactory performance are addressed. The book is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. It may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design.


Simultaneous Stabilization of Linear Systems

Simultaneous Stabilization of Linear Systems
Author: Vincent Blondel
Publisher: Springer
Total Pages: 290
Release: 1994
Genre: Technology & Engineering
ISBN:

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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.