User:Margav06/sandbox/Click here to continue/Matrix and LMI Properties and Tools
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- Basic Matrix Theory
- Notion of Matrix Positivity
- 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)
- Schur Stabilizability
- Variable Reduction Lemma
- Ellipsoidal inequality
- Dilation