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Internal and External Stabilization of Linear Systems with Constraints

Ali Saberi
Internal and External Stabilization of Linear Systems with Constraints by Ali Saberi PDF

Author : Ali Saberi
Publisher : Springer Science & Business Media
Page : 846 pages
File Size : 50,57 MB
Release : 2012-06-21
Category : 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

Vincent Blondel
Simultaneous Stabilization of Linear Systems by Vincent Blondel PDF

Author : Vincent Blondel
Publisher : Springer
Page : 290 pages
File Size : 34,38 MB
Release : 1994
Category : 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.