411 REFERENCE · Wikibooks
LMIs in Control/Click here to continue/LMIs in system and stability Theory
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
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/
Discrete-time
D-stability
/Controller D-Stability/
/Observer D-stability/
/Discrete-Time Lyapunov Stability/
/LMI for Schur Stabilization/
/L2-Gain of Systems with Multiplicative noise/
/Discrete-Time Quadratic Stability/
/Output Energy Bound for Discrete-Time Autonomous LTI Systems/
/Transient Bound for Discrete-Time Non-Autonomous LTI Systems/
/Discrete-Time Transient Impulse Response Bound/
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/