| Description |
1 online resource (xii, 313 pages) : illustrations |
| Series |
Lecture notes in control and information sciences, 0170-8643 ; 312 |
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Lecture notes in control and information sciences ; 312. 0170-8643
|
| Contents |
Control applications of sum of squares programming / Zachary Jarvis-Wloszek [and others] -- Analysis of non-polynomial systems using the sum of squares decomposition / Antonis Papachristodoulou and Stephen Prajna -- A sum-of-squares approach to fixed-order H 8-synthesis / C.W.J. Hol and C.W. Scherer -- LMI optimization for fixed-order H 8 controller design / Didier Henrion -- An LMI-based technique for robust stability analysis of linear systems with polynomial parametric uncertainties / Graziano Chesi [and others] -- Stabilization of LPV systems / Pierre-Alexandre Bliman -- On the equivalence of algebraic approaches to the minimization of forms on the simplex / Etienne de Klerk, Monique Laurent, Pablo Parrilo -- A moment approach to analyze zeros of triangular polynomial sets / Jean B. Lasserre -- Polynomials positive on unbounded rectangles / Victoria Powers and Bruce Reznick -- Stability of interval two-variable polynomials and quasipolynomials via positivity / Dragoslav D. Siljak and Dusan M. Stipanovic -- Exploiting algebraic structure in sum of squares programs / Pablo A. Parrilo -- Interior-point algorithms for semidefinite programming problems derived from the KYP lemma / Lieven Vandenberghe [and others] -- Optimization problems over non-negative polynomials with interpolation constraints / Yvan Hachez and Yurii Nesterov -- SOSTOOLS and its control applications / Stephen Prajna [and others] -- Detecting global optimality and extracting solutions in GloptiPoly / Didier Henrion and Jean-Bernard Lasserre |
| Summary |
Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomials and LMI optimization to solve various control problems, 2. a mathematical overview of different algebraic techniques used to cope with polynomial positivity, 3. numerical aspects of positivity of polynomials, and recently developed software tools which can be employed to solve the problems discussed in the book |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
| In |
Springer e-books |
| Subject |
Control theory.
|
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Polynomials.
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Engineering.
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Vibration.
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Dynamics.
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engineering.
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vibration (physical)
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kinetics (dynamics)
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Ingénierie.
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Control theory
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Polynomials
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| Form |
Electronic book
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| Author |
Henrion, D. (Didier)
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Garulli, A. (Andrea), 1968-
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| ISBN |
3540239480 |
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9783540239482 |
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9783540315940 |
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3540315942 |
|
9786611390099 |
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661139009X |
|
