View source for LMIs in Control/Print version

= Basic Matrix Theory =
{{:LMIs_in_Control/pages/Basic Matrix Theory}}
= Notion of Matrix Positivity =
{{:LMIs_in_Control/pages/Notion of Matrix Positivity}}

= KYP Lemma (Bounded Real Lemma) =
{{:LMIs_in_Control/pages/KYP_Lemma_(Bounded_Real_Lemma)}}
= Positive Real Lemma =
{{:LMIs_in_Control/pages/Positive_Real_Lemma}}
= KYP Lemma for QSR Dissipative Systems =
{{:LMIs_in_Control/pages/KYP_Lemma_QSR}}
= KYP Lemma witout Feedthrough =
{{:LMIs_in_Control/pages/KYP_Lemma_without_Feedthrough}}
= KYP Lemma for Descriptor Systems =
{{:LMIs_in_Control/pages/KYP_Lemma_for_Descriptor_Systems}}
= Generealized KYP (GKYP) Lemma for conic Sectors =
{{:LMIs_in_Control/pages/Generalized_KYP_Lemma_Conic_Sector}}

= Discrete time Bounded Real Lemma =
{{:LMIs_in_Control/pages/Discrete_Time_Bounded_Real_Lemma}}
= Discrete Time KYP Lemma for QSR Dissipative System =
{{:LMIs_in_Control/pages/Discrete_Time_QSR}}
= Discrete Time KYP Lemma with Feedthrough =
{{:LMIs_in_Control/pages/Discrete_Time_KYP_Lemma_with_Feedthrough}}

= Schur Complement =
{{:LMIs_in_Control/pages/Schur_Complement}}
= LMI for Eigenvalue Minimization =
{{:LMIs_in_Control/pages/MatrixEigenValueMinimization}}
= LMI for Matrix Norm Minimization =
{{:LMIs_in_Control/pages/MatrixNormMinimization}}
= LMI for Generalized Eigenvalue Problem =
{{:LMIs_in_Control/pages/LMI_for_Generalized_eigenvalue_problem}}
= LMI for Linear Programming =
{{:LMIs_in_Control/pages/LMI_for_Linear_Programming}}
= LMI for Feasibility Problem =
{{:LMIs_in_Control/pages/LMI_for_Feasibility_Problem}}
= Structured Singular Value =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Continuous Time/Structured Singular Value}}
= Eigenvalue Problem =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Continuous Time/Eigenvalue Problem}}
= LMI for Minimizing Condition Number of Positive Definite Matrix =
{{:LMIs_in_Control/pages/LMI_for_Minimizing_Condition_Number_of_Positive_Definite_Matrix}}
= Continuous Quadratic Stability =
{{:LMIs in Control/pages/Continuous time Quadratic stability}}

= Exterior Conic Sector Lemma =
{{:LMIs_in_Control/pages/Exterior_Conic_Sector_Lemma}}
= Modified Exterior Conic Sector Lemma =
{{:LMIs_in_Control/pages/Modified_Exterior_Conic_Sector_Lemma}}
= DC Gain of a Transfer Matrix =
{{:LMIs_in_Control/pages/DCGain}}

= Discrete Time H2 Norm =
{{:LMIs_in_Control/pages/Discrete-Time_H2_Norm}}
= Discrete Time Minimum Gain Lemma =
{{:LMIs_in_Control/pages/Discrete_Time_Minimum_Gain_Lemma}}
= Modified Discrete Time Minimum Gain Lemma =
{{:LMIs_in_Control/pages/Discrete_Time_Modified_Minimum_Gain_Lemma}}
= Discrete-Time Algebraic Riccati Equation =
{{:LMIs_in_Control/pages/DARE}}


= Deduced LMI Conditions for H-infinity Index =
{{:LMIs_in_Control/pages/Deduced LMI Conditions for H-infinity Index}}
= Deduced LMI Conditions for H<sub>2</sub> Index =
{{:LMIs_in_Control/pages/H2 index}}
= Dissipativity of Systems =
{{:LMIs_in_Control/pages/Dissipativity of Systems}}
= D-Stabilization =
{{:LMIs_in_Control/pages/D stabilization}}
= H-Stabilization =
{{:LMIs_in_Control/pages/H stabilization}}
= H-2 Norm of the System =
{{:LMIs_in_Control/pages/LMI for System H2 Norm}}
= Algebraic Riccati Equation =
{{:LMIs_in_Control/pages/Algebraic Riccati Equation}}
= System Zeros without feedthrough =
{{:LMIs_in_Control/pages/systemzeroswithout feedthrough}}
= System zeros with feedthrough =
{{:LMIs_in_Control/page/systemzeros with feedthrough}}
= Negative Imaginary Lemma =
{{:LMIs_in_Control/pages/NI-Lemma}}
= Small Gain Theorem =
{{:LMIs_in_Control/pages/Small Gain Theorem}}
= Tangential Nevanlinna-Pick Interpolation =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Tangential Nevanlinna Pick}}
= Nevanlinna-Pick Interpolation with Scaling =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Nevanlinna Pick Interpolation with Scaling}}
= Generalized <math> H_{2} </math> Norm =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Generalized H2 Norm}}
= Passivity and Positive Realness =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Passivity and Positive Realness}}
= Non-expansivity and Bounded Realness =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Non-expansivity and Bounded Realness}}
= Change of Subject =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Change of Subject}}
= Congruence Transformation =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Congruence Transformation}}
= Finsler's Lemma =
{{:LMIs in Control/Matrix and LMI Properties and Tools/Finsler's Lemma}}

= D-Stability =
{{:LMIs in Control/Stability Analysis/Continuous Time/D-Stability}}
= Time-Delay Systems =
{{:LMIs in Control/Stability Analysis/Continuous Time/Time-Delay Systems}}
= Parametric, Norm-Bounded Uncertain System Quadratic Stability =
{{:LMIs in Control/Stability Analysis/Continuous Time/Parametric, Norm-Bounded Uncertain System Quadratic Stability}}
= Stability of Structured, Norm-Bounded Uncertainty =
{{:LMIs in Control/Stability Analysis/Continuous Time/Stability of Structured, Norm-Bounded Uncertainty}}
= Stability under Arbitrary Switching =
{{:LMIs in Control/Stability Analysis/Continuous Time/Stability under Arbitrary Switching}}
= Quadratic Stability Margins =
{{:LMIs in Control/Stability Analysis/Continuous Time/Quadratic Stability Margins}}
= Stability of Linear Delayed Differential Equations =
{{:LMIs in Control/pages/Stability of Linear Delayed Differential Equations}}
= H infinity Norm for Affine Parametric Varying Systems =
{{:LMIs in Control/pages/H infinity Norm for Affine Parametric Varying Systems}}
= Entropy Bond for Affine Parametric Varying Systems =
{{:LMIs in Control/pages/Entropy Bound for Affine Parametric Varying Systems}}
= Dissipativity of Affine Parametric Varying Systems =
{{:LMIs in Control/pages/Dissipativity of Affine Parametric Varying Systems}}
= Hankel Norm of Affine Parameter Varying Systems =
{{:LMIs in Control/pages/Hankel Norm for Affine Parametric Varying Systems}}
= Positive Orthant Stabilizability =
{{:LMIs in Control/pages/Positive Orthant Stability}}
= LMI For Stabilization Condition for Systems With Unsymmetrical Saturated Control =
{{:LMIs in Control/pages/Unsat Inp Stabilization}}
= LMI Condition For Exponential Stability of Linear Systems With Interval Time-Varying Delays =
{{:LMIs in Control/pages/Lin Sys Time Delay Stability LMI}}
= Conic Sector Lemma =
{{:LMIs in Control/pages/Conic Sector Lemma}}
= Polytopic Quadratic Stability =
{{:LMIs in Control/pages/Polytopic stability}}
= Mu Analysis =
{{:LMIs in Control/pages/Mu Analysis}}
= Optimization Over Affine Family of Linear Systems =
{{:LMIs in Control/Stability Analysis/Continuous Time/Optimization Over Affine Family of Linear Systems}}
= Hurwitz Stabilizability =
{{:LMIs in Control/Stability Analysis/Continuous Time/Hurwitz Stabilizability}}
= Quadratic Hurwitz Stabilization for Polytopic Systems =
{{:LMIs in Control/Stability Analysis/Continuous Time/Quadratic Hurwitz Stabilization for Polytopic Systems}}

= Discrete-Time Lyapunov Stability =
{{:LMIs in Control/pages/Discrete Time Lyapunov Stability}}
= LMI for Schur Stabilization =
{{:LMIs in Control/pages/Schur Stabilization}}
= L2-Gain of Systems with Multiplicative noise =
{{:LMIs in Control/pages/L2 gain of systems with multiplicative noise}}
= Discrete-Time Quadratic Stability =
{{:LMIs in Control/pages/Discrete-Time Quadratic Stability}}

= Stability of Lure's Systems =
{{:LMIs in Control/pages/Stability of Lure systems}}
= L2 Gain of Lure's Systems =
{{:LMIs in Control/pages/L2 gain of Lure systems}}
= Output Energy Bound for Lure's Systems =
{{:LMIs in Control/pages/Output Energy Bounds for Lure System}}

= Stability of Quadratic Constrained Systems =
{{:LMIs in Control/pages/Stability of Quadratic Constrained Systems}}

= Conic Sector Lemma =
{{:LMIs in Control/pages/Conic Sector Lemma|Conic Sector Lemma}}

= State Feedback =
{{:LMIs in Control/Controller Synthesis/Continuous Time/State Feedback}}
= D-Stability =
{{:LMIs in Control/Controller Synthesis/Continuous Time/D-Stability}}
= Optimal State Feedback =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Optimal State Feedback}}
= Output Feedback =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Output Feedback}}
= Static Output Feedback =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Static Output Feedback}}
= Optimal Output Feedback =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Optimal Output Feedback}}
= Stabilizability LMI =
{{:LMIs in Control/pages/Stabilizability LMI}}
= LMI for the Controllability Grammian =
{{:LMIs in Control/pages/LMI for the Controllability Grammian}}
= LMI for Decentralized Feedback Control =
{{:LMIs in Control/pages/LMI for Decentralized Feedback Control}}
= LMI for Mixed <math>H_{2}/H_{\infty}</math> Output Feedback Controller =
{{:LMIs in Control/pages/LMI for Mixed H2 Hinf Output Feedback Controller}}
= Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty}}
= H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty =
{{:LMIs in Control/Controller Synthesis/Continuous Time/H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty}}
= Stabilizing State-Feedback Controllers with Structured Norm-Bounded Uncertainty =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Stabilizing State-Feedback Controllers with Structured Norm-Bounded Uncertainty}}
= Optimal State-Feedback Controllers with Structured Norm-Bounded Uncertainty =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Optimal State-Feedback Controllers with Structured Norm-Bounded Uncertainty}}
= <math>H_\infty</math> Optimal Output Controllability for Systems With Transients =
{{:LMIs in Control/pages/Hinf Output Optimal Control}}
= Quadratic Polytopic Stabilization =
{{:LMIs in Control/pages/Quadratic polytopic stabilization}}
= Quadratic D-Stabilization =
{{:LMIs in Control/pages/Quadratic DStabilization}}
= Quadratic Polytopic Full State Feedback Optimal <math>H_{\infty}</math> Control =
{{:LMIs in Control/pages/Quadratic Polytopic Hinf- Optimal State Feedback Control}}
= Quadratic Polytopic Full State Feedback Optimal <math>H_2</math> Control =
{{:LMIs in Control/pages/quadratic polytopic h2 optimal state feedback control}}
= Continuous-Time Static Output Feedback Stabilizability =
{{:LMIs in Control/pages/CT-SOFS}}
= Multi-Criterion LQG =
{{:LMIs in Control/pages/Multi-Criterion LQG}}
= Inverse Problem of Optimal Control =
{{:LMIs in Control/pages/Inverse Problem of Optimal Control}}
= Nonconvex Multi-Criterion Quadratic Problems =
{{:LMIs in Control/pages/Nonconvex Multi-Criterion Quadratic Problems}}
= Static-State Feedback Problem =
{{:LMIs in Control/pages/SSFP}}
= Mixed H2 Hinf with desired pole location control =
{{:LMIs in Control/pages/mixedhinfh2desiredpole}}
= Mixed H2 Hinf with desired pole location control for perturbed systems =
{{:LMIs in Control/pages/mixh2hinfdesiredpole4perturbed}}
= Robust H2 State Feedback Control =
{{:LMIs in Control/Controller Synthesis/Continuous Time/Robust H2 State Feedback Control}}
= LQ Regulation via H2 control =
{{:LMIs in Control/Controller Synthesis/Continuous Time/LQ Regulation via H2 control}}

= State Feedback =
{{:LMIs in Control/Controller Synthesis/Discrete Time/State Feedback}}
= Optimal State Feedback =
{{:LMIs in Control/Controller Synthesis/Discrete Time/Optimal State Feedback}}
= Output Feedback =
{{:LMIs in Control/Controller Synthesis/Discrete Time/Output Feedback}}
= Static Output Feedback =
{{:LMIs in Control/Controller Synthesis/Discrete Time/Static Output Feedback}}
= Optimal Output Feedback =
{{:LMIs in Control/Controller Synthesis/Discrete Time/Optimal Output Feedback}}
= Optimal Dynamic Output Feedback =
{{:LMIs in Control/Controller Synthesis/Discrete Time/Optimal Dynamic Output Feedback}}
= Discrete Time Stabilizability =
{{:LMIs in Control/pages/Discrete Time Stabilizability}}
= Quadratic Schur Stabilization =
{{:LMIs in Control/pages/Quadratic Schur Stabilization}}

= Generic Insensitive Strip Region Design =
{{:LMIs in Control/pages/Insensitive Strip Region Design}}
= Generic Insensitive Disk Region Design =
{{:LMIs in Control/pages/Insensitive Disk Region Design}}
= Design for Insensitive Strip Region =
{{:LMIs in Control/pages/H2 Strip Region}}
= Design for Insensitive Disk Region =
{{:LMIs in Control/pages/H2 Disk Region}}

= Quadratic Stability =
{{:LMIs in Control/pages/Quadratic Stability}}
= Apkarian Filter and State Feedback =
{{:LMIs in Control/pages/Apkarian Filter-and State Feedback}}
= Minimum Decay Rate in State Feedback =
{{:LMIs in Control/pages/Minimum Decay Rate in State Feedback}}
= Maximum Natural Frequency in State Feedback =
{{:LMIs in Control/pages/Maximum Natural Frequency in State Feedback}}

= Optimal Observer and State Estimation =
{{:LMIs in Control/Observer Synthesis/Continuous Time/Optimal Observer and State Estimation}
= Detectability LMI =
{{:LMIs in Control/pages/Detectability LMI}}
= LMI for the Observability Grammian =
{{:LMIs in Control/pages/LMI for the Observability Grammian}}
= H-infinity filtering =
{{:LMIs in Control/pages/H-infinity filtering}}
= H2 filtering =
{{:LMIs in Control/pages/H-2 filtering}}
= H2 Optimal Observer =
{{:LMIs in Control/pages/H2 Optimal Observer}}
= HInf Optimal Observer =
{{:LMIs in Control/pages/HInf Optimal Observer}}
= Mixed H2 HInf Optimal Observer =
{{:LMIs in Control/pages/Mixed H2 HInf Optimal Observer}}
= H2 Optimal Filter =
{{:LMIs in Control/pages/H2 Optimal Filter}}
= HInf Optimal Filter =
{{:LMIs in Control/pages/HInf Optimal Filter}}
= FDI Filter Design For Systems With Sensor Faults: an LMI =
{{:LMIs in Control/pages/FDI Filter Design}}
= ''H<sub>2</sub>'' Optimal State estimation =
{{:LMIs in Control/pages/H2-OSE}}
= Hurwitz Detectability =
{{:LMIs in Control/pages/Hurwitz detectability}}
= Full-Order State Observer =
{{:LMIs in Control/Observer Synthesis/Continuous Time/Full-Order State Observer}}
= Full-Order H-infinity State Observer =
{{:LMIs in Control/Observer Synthesis/Continuous Time/Full-Order H-infinity State Observer}}
= Reduced-Order State Observer =
{{:LMIs in Control/Observer Synthesis/Continuous Time/Reduced-Order State Observer}}

= Optimal Observer; Mixed =
{{:LMIs in Control/pages/Discrete-Time Mixed H2 HInf Optimal Observer}}
= Optimal Observer; H2 =
{{:LMIs in Control/pages/Discrete-Time H2-Optimal Observer}}
= Optimal Observer; Hinf =
{{:LMIs in Control/pages/Discrete-Time HInf-Optimal Observer}}
= Discrete Time Detectability =
{{:LMIs in Control/pages/Discrete-Time Detectability}}
= Schur Detectability =
{{:LMIs in Control/pages/Schur Detectability}}

= Robust Stabilization of Second-Order Systems =
{{:LMIs in Control/pages/Robust Stabilization of Second-Order Systems}}
= Robust Stabilization of <math> H{\infty} </math> Optimal State Feedback Control =
{{:LMIs in Control/pages/Robust H inf State Feedback Control}}
= Robust H inf State Feedback Control =
{{:LMIs in Control/Robustness/Robust H inf State Feedback Control}}

= LMI for Time-Delay system on delay Independent Condition =
{{:LMIs in Control/pages/TDSIC}}
= LMI for Time-Delay system on delay Dependent Condition =
{{:LMIs in Control/pages/TDSDC}}
= LMI for Stability of Retarded Differential Equation with Slowly-Varying Delay =
{{:LMIs in Control/Time-Delay Systems/Continuous Time/LMI for Stability of Retarded Differential Equation with Slowly-Varying Delay}}
= LMI for Robust Stability of Retarded Differential Equation with Norm-Bounded Uncertainty =
{{:LMIs in Control/Time-Delay Systems/Continuous Time/LMI for Robust Stability of Retarded Differential Equation with Norm-Bounded Uncertainty}}
= Bounded Real Lemma under Slowly-Varying Delay =
{{:LMIs in Control/Time-Delay Systems/Continuous Time/Bounded Real Lemma under Slowly-Varying Delay}}
= LMI for L2-Optimal State-Feedback Control under Time-Varying Input Delay =
{{:LMIs in Control/pages/LMI for L2-Optimal State-Feedback Control under Time-Varying Input Delay}}
= Discrete Time =
{{:LMIs in Control/Time-Delay Systems/Discrete Time}}

= LMI for Attitude Control of Nonrotating Missiles, Pitch Channel =
{{:LMIs in Control/pages/LMI for Attitude Control of Nonrotating Missiles}}
= LMI for Attitude Control of Nonrotating Missiles, Yaw/Roll Channel =
{{:LMIs in Control/pages/LMI for Nonrotating Missiles Attitude Control yaw roll channel}}
= LMI for H2/Hinf Polytopic Controller for Robot Arm on a Quadrotor =
{{:LMIs in Control/pages/LMI for H2/Hinf Polytopic Controller for Robot Arm.}}
= An LMI for the Kalman Filter =
{{:LMIs in Control/Applications/An LMI for the Kalman Filter}}
= Hinf Optimal Model Reduction =
{{:LMIs in Control/Applications/Hinf Optimal Model Reduction}}
= An LMI for Multi-Robot Systems =
{{:LMIs in Control/Applications/An LMI for Multi-Robot Systems}}
= Helicopter Inner Loop LMI =
{{:LMIs in Control/Applications/HelicopterInnerLoopLMI}}
= Hinf LMI Satellite Attitude Control =
{{:LMIs in Control/Applications/Hinf LMI SatelliteAttitudeControl}}
= H2 LMI Satellite Attitude Control =
{{:LMIs in Control/Applications/H2 LMI SatelliteAttitudeControl}}
= Problem of Space Rendezvous and LMI Approaches =
{{:LMIs in Control/Applications/Problem of Space Rendezvous and LMI Approaches}}

= Template =
{{:LMIs in Control/Template}}