Bilinear control systems : matrices in action / David. L.Elliott.

By: Elliott, David L. (David LeRoy), 1932-Material type: TextTextSeries: Applied mathematical sciences ; 169Publication details: Dordrecht, NL : Springer, c2009Description: ix, 280 p. ; 24 cmISBN: 9781402096129 (hbk.)Subject(s): Nonlinear control theory | Bilinear transformation method | Matrix analytic methods | Matrices | Lie algebrasDDC classification: 629.8312 LOC classification: QA402.35 | .E55 2009
Contents:
1. Introduction -- 2. Symmetric systems : Lie theory -- 3. Systems with drift -- 4. Discrete-time bilinear systems -- 5. Systems with outputs -- 6. Examples -- 7. Linearization -- 8. Input structures -- Appendix A. Matrix algebra -- Appendix B. Lie algebras and groups -- Appendix C. Albebraic geometry -- Appendix D. Transitive Lie algebras.
Summary: This book introduces and surveys bilinear control systems theory from a mathematical viewpoint. The exposition is at the first-year graduate level. Topics include an introduction to Lie algebras, matrix groups and semigroups, the controllability, stabilization, and observability of bilinear systems, nonlinear systems analytically equivalent to bilinear systems, series representations for input-outputmappings, and random inputs. To assist the reader there are exercises, Mathematica scripts, and appendices on matrix analysis, differentiable maps and manifolds, Lie algebra, and Lie groups.
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Item type Current library Collection Call number Copy number Status Date due Barcode
Book Book University of Macedonia Library
Βιβλιοστάσιο Α (Stack Room A) 		Main Collection QA402.35.E55 2009 (Browse shelf (Opens below)) 1 Available 0013130112

Includes bibliographical references (p. 259-271) and index.

1. Introduction -- 2. Symmetric systems : Lie theory -- 3. Systems with drift -- 4. Discrete-time bilinear systems -- 5. Systems with outputs -- 6. Examples -- 7. Linearization -- 8. Input structures -- Appendix A. Matrix algebra -- Appendix B. Lie algebras and groups -- Appendix C. Albebraic geometry -- Appendix D. Transitive Lie algebras.

This book introduces and surveys bilinear control systems theory from a mathematical viewpoint. The exposition is at the first-year graduate level. Topics include an introduction to Lie algebras, matrix groups and semigroups, the controllability, stabilization, and observability of bilinear systems, nonlinear systems analytically equivalent to bilinear systems, series representations for input-outputmappings, and random inputs. To assist the reader there are exercises, Mathematica scripts, and appendices on matrix analysis, differentiable maps and manifolds, Lie algebra, and Lie groups.

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