LMIs in Control/Matrix and LMI Properties and Tools
Appearance
- Basic Matrix Theory
- Notion of Matrix Positivity
- Matrix Inequalities and LMIs
- KYP Lemmas
- Continuous Time
- Discrete Time
- Deduced LMI Conditions for H-infinity Index
- Deduced LMI Conditions for H2 Index
- Dissipativity of Systems
- D-Stabilization
- H-Stabilization
- H-2 Norm of the System
- Algebraic Riccati Equation
- System Zeros without feedthrough
- System zeros with feedthrough
- Negative Imaginary Lemma
- Small Gain Theorem
- Tangential Nevanlinna-Pick Interpolation
- Nevanlinna-Pick Interpolation with Scaling
- Generalized Norm
- Passivity and Positive Realness
- Non-expansivity and Bounded Realness
- Change of Subject
- Congruence Transformation
- Finsler's Lemma
- Young’s Relation (Completion of the Squares)
- Young’s Relation-Based Properties
- Schur Stabilizability
- Variable Reduction Lemma
- Ellipsoidal inequality
- Dilation
- Quadratic Schur Stability
- D-Stability Rise Time Poles
- D-Stability Settling Time Poles
- D-Stability Max Percent Overshoot Poles
- Iterative Convex Overbounding
- Strict Projection Lemma
- Non Strict Projection Lemma
- Concatenation Of Matrices
- Dicrete-time Algebraic Riccati Equation
- Frobenius Norm
- Dualization Lemma
- Negative Imaginary System DC Constraint