# LMIs in Control/Click here to continue/LMIs in system and stability Theory

LMIs in system and stability Theory
* Lyapunov Inequalities
** Continuous- time Lyapunov Stability
** Discrete-time Lyapunov Stability
** Generalized Lyapunov Stability
* Bounded Real Lemma and Hinf Norm
** Continuous - time Bounded Real Lemma
** Discrete - time Bounded Real Lemma
* H2 Norm
** Continuous- time H2 Norm
** Discrete - time H2 Norm
* Generalized H2 Norm
* Peak-to-Peak Norm
* Kalman-Yakubovich-Popov(KYP) Lemma
** KYP Lemma for QSR Dissipative Systems
** Discrete-Time KYP Lemma for QSR Dissipative Systems
** KYP Lemma Without Feedthrough
** KYP Lemma with Feedthrough
** Discrete-Time KYP Lemma With Feedthrough
** KYP Lemma for Descriptor systems
* Conic Sectors
** Conic Sector Lemma
** Exterior Conic Sector Lemma
** Modified Exterior Conic Sector Lemma
** Generalized KYP Lemma for Conic Sectors
* Minimum Gain
** Minimum Gain Lemma
** Modified Minimum Gain Lemma
** Discrete-Time Minimum Gain Lemma
** Discrete-Time Modified Minimum Gain Lemma
* Negative Imaginary Systems
** Negative Imaginary Lemma
** Discrete-time Negative Imaginary Lemma
** Generalized Negative Imaginary Lemma
* Algebraic Riccati Inequalities
** Discrete-time Algebraic Riccati Inequalities
* Stabilizability
** Continuous-time Stabilizability
** Discrete-time Stabilizability
* Detectability
** Continuous-time Detectability
** Discrete-time Detectability
* Static Output Feedback Stabilizability
** Continuous-time Static Output Feedback Stabilizability
** Discrete-time Static Output Feedback Stabilizability
* Strong Stabilizability
** Continuous-time strong stabilizability
** Discrete-time strong stabilizability
* System Zeros
** System Zeros without Feedthrough
** System Zeros with Feedthrough
* D-Stability
** Conic Sector Region Stability via the Dilation Lemma
** alpha-Region via the Dilation Lemma
** Circular Region Stability via the Dilation Lemma
** DC Gain of a Transfer Matrix
** Kharitonov-Bernstein-Haddad(KBH) Theorem
* D-Admissibility
** General LMI Region D-Admissibility
** Circular Region D-Admissibility
* Quadratic Stability
** Continuous-time Quadratic Stability
** Discrete-time Quadratic Stability
* Stability of Time Delay Systems
** Delay-Independent Condition
** Delay-Dependent Condition
* mu-Analysis
* Static Output Feedback Algebraic Loop
* Continuous Time
** Time-Delay Systems
*** Delay Dependent Time-Delay Stabilization
*** Delay Independent Time-Delay Stabilization
** Parametric, Norm-Bounded Uncertain System Quadratic Stability
** Stability of Structured, Norm-Bounded Uncertainty
** Stability under Arbitrary Switching
** Quadratic Stability Margins
** Stability of Linear Delayed Differential Equations
** H infinity Norm for Affine Parametric Varying Systems
** Entropy Bond for Affine Parametric Varying Systems
** Dissipativity of Affine Parametric Varying Systems
** Hankel Norm of Affine Parameter Varying Systems
** Positive Orthant Stabilizability
** LMI For Stabilization Condition for Systems With Unsymmetrical Saturated Control
** LMI Condition For Exponential Stability of Linear Systems With Interval Time-Varying Delays
** Polytopic Quadratic Stability
** Interval Quadratic Stability
** Optimization Over Affine Family of Linear Systems
** Hurwitz Stabilizability
** Quadratic Hurwitz Stabilization for Polytopic Systems
** Output Energy Bound for Autonomous LTI Systems
** Transient State Bound for Non-Autonomous LTI Systems
** Transient Impulse Response Bound for Non-Autonomous LTI systems
* Lure's System
** Stability Of Lure's System
** L2 Gain of Lure's Systems
** Output Energy Bound for Lure's Systems
* Stability of Quadratic Constrained Systems