Linear Matrix Inequalities in System and Control Theory

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· 제목 : Linear Matrix Inequalities in System and Control Theory (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780898714852
· 쪽수 : 203쪽
· 출판일 : 1987-01-01

Preface
Chapter 1: Introduction. Overview
A Brief History of LMIs in Control Theory
Notes on the Style of the Book
Origin of the Book
Chapter 2: Some Standard Problems Involving LMIs. Linear Matrix Inequalities
Some Standard Problems
Ellipsoid Algorithm
Interior-Point Methods
Strict and Nonstrict LMIs
Miscellaneous Results on Matrix Inequalities
Some LMI Problems with Analytic Solutions
Chapter 3: Some Matrix Problems. Minimizing Condition Number by Scaling
Minimizing Condition Number of a Positive-Definite Matrix
Minimizing Norm by Scaling
Rescaling a Matrix Positive-Definite
Matrix Completion Problems
Quadratic Approximation of a Polytopic Norm
Ellipsoidal Approximation
Chapter 4: Linear Differential Inclusions. Differential Inclusions
Some Specific LDIs
Nonlinear System Analysis via LDIs
Chapter 5: Analysis of LDIs: State Properties. Quadratic Stability
Invariant Ellipsoids
Chapter 6: Analysis of LDIs: Input/Output Properties. Input-to-State Properties
State-to-Output Properties
Input-to-Output Properties
Chapter 7: State-Feedback Synthesis for LDIs. Static State-Feedback Controllers
State Properties
Input-to-State Properties
State-to-Output Properties
Input-to-Output Properties
Observer-Based Controllers for Nonlinear Systems
Chapter 8: Lur'e and Multiplier Methods. Analysis of Lur'e Systems
Integral Quadratic Constraints
Multipliers for Systems with Unknown Parameters
Chapter 9: Systems with Multiplicative Noise. Analysis of Systems with Multiplicative Noise
State-Feedback Synthesis
Chapter 10: Miscellaneous Problems. Optimization over an Affine Family of Linear Systems
Analysis of Systems with LTI Perturbations
Positive Orthant Stabilizability
Linear Systems with Delays
Interpolation Problems
The Inverse Problem of Optimal Control
System Realization Problems
Multi-Criterion LQG
Nonconvex Multi-Criterion Quadratic Problems
Notation
List of Acronyms
Bibliography
Index.