LMIs in Control/Print version

Basic Matrix Theory Notion of Matrix Positivity KYP Lemma (Bounded Real Lemma) Positive Real Lemma KYP Lemma for QSR Dissipative Systems KYP Lemma witout Feedthrough KYP Lemma for Descriptor Systems Generealized KYP (GKYP) Lemma for conic Sectors Discrete time Bounded Real Lemma Discrete Time KYP Lemma for QSR Dissipative System Discrete Time KYP Lemma with Feedthrough Schur Complement LMI for Eigenvalue Minimization LMI for Matrix Norm Minimization LMI for Generalized Eigenvalue Problem LMI for Linear Programming LMI for Feasibility Problem Structured Singular Value Eigenvalue Problem LMI for Minimizing Condition Number of Positive Definite Matrix Continuous Quadratic Stability Exterior Conic Sector Lemma Modified Exterior Conic Sector Lemma DC Gain of a Transfer Matrix Discrete Time H2 Norm Discrete Time Minimum Gain Lemma Modified Discrete Time Minimum Gain Lemma Discrete-Time Algebraic Riccati Equation 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 D-Stability Time-Delay Systems 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 Conic Sector Lemma Polytopic Quadratic Stability Mu Analysis Optimization Over Affine Family of Linear Systems Hurwitz Stabilizability Quadratic Hurwitz Stabilization for Polytopic Systems Discrete-Time Lyapunov Stability LMI for Schur Stabilization L2-Gain of Systems with Multiplicative noise Discrete-Time Quadratic Stability Stability of Lure's Systems L2 Gain of Lure's Systems Output Energy Bound for Lure's Systems Stability of Quadratic Constrained Systems Conic Sector Lemma Conic Sector Lemma State Feedback D-Stability Optimal State Feedback Output Feedback Static Output Feedback Optimal Output Feedback Stabilizability LMI LMI for the Controllability Grammian LMI for Decentralized Feedback Control LMI for Mixed Output Feedback Controller Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty H-inf Optimal Quadratically Stabilizing Controllers with Parametric Norm-Bounded Uncertainty Stabilizing State-Feedback Controllers with Structured Norm-Bounded Uncertainty Optimal State-Feedback Controllers with Structured Norm-Bounded Uncertainty Optimal Output Controllability for Systems With Transients Quadratic Polytopic Stabilization Quadratic D-Stabilization Quadratic Polytopic Full State Feedback Optimal Control Quadratic Polytopic Full State Feedback Optimal Control Continuous-Time Static Output Feedback Stabilizability Multi-Criterion LQG Inverse Problem of Optimal Control Nonconvex Multi-Criterion Quadratic Problems Static-State Feedback Problem Mixed H2 Hinf with desired pole location control Mixed H2 Hinf with desired pole location control for perturbed systems Robust H2 State Feedback Control LQ Regulation via H2 control State Feedback Optimal State Feedback Output Feedback Static Output Feedback Optimal Output Feedback Optimal Dynamic Output Feedback Discrete Time Stabilizability Quadratic Schur Stabilization Generic Insensitive Strip Region Design Generic Insensitive Disk Region Design Design for Insensitive Strip Region Design for Insensitive Disk Region Quadratic Stability Apkarian Filter and State Feedback Minimum Decay Rate in State Feedback 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 LMI for the Observability Grammian H-infinity filtering H2 filtering H2 Optimal Observer HInf Optimal Observer Mixed H2 HInf Optimal Observer H2 Optimal Filter HInf Optimal Filter FDI Filter Design For Systems With Sensor Faults: an LMI H2 Optimal State estimation Hurwitz Detectability Full-Order State Observer Full-Order H-infinity State Observer Reduced-Order State Observer Optimal Observer; Mixed Optimal Observer; H2 Optimal Observer; Hinf Discrete Time Detectability Schur Detectability Robust Stabilization of Second-Order Systems Robust Stabilization of Optimal State Feedback Control Robust H inf State Feedback Control LMI for Time-Delay system on delay Independent Condition LMI for Time-Delay system on delay Dependent Condition LMI for Stability of Retarded Differential Equation with Slowly-Varying Delay LMI for Robust Stability of Retarded Differential Equation with Norm-Bounded Uncertainty Bounded Real Lemma under Slowly-Varying Delay LMI for L2-Optimal State-Feedback Control under Time-Varying Input Delay Discrete Time LMI for Attitude Control of Nonrotating Missiles, Pitch Channel LMI for Attitude Control of Nonrotating Missiles, Yaw/Roll Channel LMI for H2/Hinf Polytopic Controller for Robot Arm on a Quadrotor An LMI for the Kalman Filter Hinf Optimal Model Reduction An LMI for Multi-Robot Systems Helicopter Inner Loop LMI Hinf LMI Satellite Attitude Control H2 LMI Satellite Attitude Control Problem of Space Rendezvous and LMI Approaches Template