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Robust stability and convexity : an introduction
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Robust stability and convexity : an introduction

Author: Jacob Kogan
Publisher: London ; New York : Springer-Verlag, 1995.
Series: Lecture notes in control and information sciences, 201.
Edition/Format:   Book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Kogan, Jacob, 1954-
Robust stability and convexity.
London ; New York : Springer-Verlag, 1995
(OCoLC)623750628
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jacob Kogan
ISBN: 3540199195 9783540199199 0387199195 9780387199191
OCLC Number: 31328466
Description: xi, 176 p. ; 24 cm.
Contents: 1. Introduction and Motivation. 1.1. Illustration. 1.2. Stability and Convexity --
2. Stability of Box Polynomial Families. 2.1. Kharitonov's Theorem. 2.2. Other root location regions: [Omega] stability. 2.3. Principal Vertices and Stability. 2.4. Principal Directions and Principal Vertices. 2.5. Principal Vertices and Testing Family. 2.6. Examples: Schur, Hurwitz, and Sector Stability. 2.7. Hurwitz Stability of Weighted Diamonds. 2.8. Extreme Point Results --
3. Stability Radii and Convex Analysis. 3.1. Stability Radii and Degree Dropping. 3.2. Constrained Optimization Problem. 3.3. Complex Stability Radius. 3.4. Stability Radius. 3.5. Examples: Stability Radii for Schur and Hurwitz Polynomials. 3.6. Real Stability Radius: Examples. 3.7. Link to Structured Matrix Perturbations. 3.8. Matrix Perturbations. 3.9. Multiple Matrix Perturbations and [mu] --
4. Multiaffine Polynomial Families. 4.1. Orientation Preserving Multiaffine Transformation.
Series Title: Lecture notes in control and information sciences, 201.
Responsibility: Jacob Kogan.

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