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 $$ H_{2} $$ 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 =

= 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 $$H_{2}/H_{\infty}$$ 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 =

= $$H_\infty$$ Optimal Output Controllability for Systems With Transients =

= Quadratic Polytopic Stabilization =

= Quadratic D-Stabilization =

= Quadratic Polytopic Full State Feedback Optimal $$H_{\infty}$$ Control =

= Quadratic Polytopic Full State Feedback Optimal $$H_2$$ 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 $$ H{\infty} $$ 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 =