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

LMIs in system and stability Theory


 * 1) Lyapunov Inequalities
 * 2) /Continuous- time Lyapunov Stability//
 * 3) /Discrete-time Lyapunov Stability//
 * 4) /Generalized Lyapunov Stability//
 * 5) Bounded Real Lemma and Hinf Norm
 * 6) /Continuous - time Bounded Real Lemma//
 * 7) /Discrete - time Bounded Real Lemma//
 * 8) H2 Norm
 * 9) /Continuous- time H2 Norm//
 * 10) /Discrete - time H2 Norm//
 * 11) /Generalized H2 Norm//
 * 12) /Peak-to-Peak Norm//
 * 13) Kalman-Yakubovich-Popov(KYP) Lemma
 * 14) /KYP Lemma for QSR Dissipative Systems/
 * 15) /Discrete-Time KYP Lemma for QSR Dissipative Systems/
 * 16) /KYP Lemma Without Feedthrough/
 * 17) /KYP Lemma with Feedthrough/
 * 18) /Discrete-Time KYP Lemma With Feedthrough/
 * 19) /KYP Lemma for Descriptor systems/
 * 20) Conic Sectors
 * 21) /Conic Sector Lemma/
 * 22) /Exterior Conic Sector Lemma/
 * 23) /Modified Exterior Conic Sector Lemma/
 * 24) /Generalized KYP Lemma for Conic Sectors/
 * 25) Minimum Gain
 * 26) /Minimum Gain Lemma/
 * 27) /Modified Minimum Gain Lemma/
 * 28) /Discrete-Time Minimum Gain Lemma/
 * 29) /Discrete-Time Modified Minimum Gain Lemma/
 * 30) Negative Imaginary Systems
 * 31) /Negative Imaginary Lemma/
 * 32) /Discrete-time Negative Imaginary Lemma/
 * 33) /Generalized Negative Imaginary Lemma/
 * 34) /Algebraic Riccati Inequalities/
 * 35) /Discrete-time Algebraic Riccati Inequalities/
 * 36) Stabilizability
 * 37) /Continuous-time Stabilizability/
 * 38) /Discrete-time Stabilizability/
 * 39) Detectability
 * 40) /Continuous-time Detectability/
 * 41) /Discrete-time Detectability/
 * 42) Static Output Feedback Stabilizability
 * 43) /Continuous-time Static Output Feedback Stabilizability/
 * 44) /Discrete-time Static Output Feedback Stabilizability/
 * 45) Strong Stabilizability
 * 46) /Continuous-time strong stabilizability/
 * 47) /Discrete-time strong stabilizability/
 * 48) System Zeros
 * 49) /System Zeros without Feedthrough/
 * 50) /System Zeros with Feedthrough/
 * 51) D-Stability
 * 52) /Conic Sector Region Stability via the Dilation Lemma/
 * 53) /alpha-Region via the Dilation Lemma/
 * 54) /Circular Region Stability via the Dilation Lemma/
 * 55) /DC Gain of a Transfer Matrix/
 * 56) /Kharitonov-Bernstein-Haddad(KBH) Theorem/
 * 57) D-Admissibility
 * 58) /General LMI Region D-Admissibility/
 * 59) /Circular Region D-Admissibility/
 * 60) Quadratic Stability
 * 61) /Continuous-time Quadratic Stability/
 * 62) /Discrete-time Quadratic Stability/
 * 63) Stability of Time Delay Systems
 * 64) /Delay-Independent Condition/
 * 65) /Delay-Dependent Condition/
 * 66) /mu-Analysis/
 * 67) /Static Output Feedback Algebraic Loop/
 * 68) Continuous Time
 * 69) Time-Delay Systems
 * 70) /Delay Dependent Time-Delay Stabilization/
 * 71) /Delay Independent Time-Delay Stabilization/
 * 72) /Parametric, Norm-Bounded Uncertain System Quadratic Stability/
 * 73) /Stability of Structured, Norm-Bounded Uncertainty/
 * 74) /Stability under Arbitrary Switching/
 * 75) /Quadratic Stability Margins/
 * 76) /Stability of Linear Delayed Differential Equations/
 * 77) /H infinity Norm for Affine Parametric Varying Systems/
 * 78) /Entropy Bond for Affine Parametric Varying Systems/
 * 79) /Dissipativity of Affine Parametric Varying Systems/
 * 80) /Hankel Norm of Affine Parameter Varying Systems/
 * 81) /Positive Orthant Stabilizability/
 * 82) /LMI For Stabilization Condition for Systems With Unsymmetrical Saturated Control/
 * 83) /LMI Condition For Exponential Stability of Linear Systems With Interval Time-Varying Delays/
 * 84) /Polytopic Quadratic Stability/
 * 85) /Interval Quadratic Stability/
 * 86) /Optimization Over Affine Family of Linear Systems/
 * 87) /Hurwitz Stabilizability/
 * 88) /Quadratic Hurwitz Stabilization for Polytopic Systems/
 * 89) /Output Energy Bound for Autonomous LTI Systems/
 * 90) /Transient State Bound for Non-Autonomous LTI Systems/
 * 91) /Transient Impulse Response Bound for Non-Autonomous LTI systems/


 * 1) Discrete-time
 * 2) D-stability
 * 3) /Controller D-Stability/
 * 4) /Observer D-stability/
 * 5) /Discrete-Time Lyapunov Stability/
 * 6) /LMI for Schur Stabilization/
 * 7) /L2-Gain of Systems with Multiplicative noise/
 * 8) /Discrete-Time Quadratic Stability/
 * 9) /Output Energy Bound for Discrete-Time Autonomous LTI Systems/
 * 10) /Transient Bound for Discrete-Time Non-Autonomous LTI Systems/
 * 11) /Discrete-Time Transient Impulse Response Bound/


 * 1) Lure's System
 * 2) /Stability Of Lure's System/
 * 3) /L2 Gain of Lure's Systems/
 * 4) /Output Energy Bound for Lure's Systems/
 * 5) /Stability of Quadratic Constrained Systems/