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Linear Systems

 * 1) /Introduction to Linear Systems/
 * 2) Kalman-Yakubovich-Popov (KYP) Lemma
 * 3) Continuous Time KYP Lemmas
 * 4) /Bounded Real Lemma/
 * 5) /Positive Real Lemma/
 * 6) /KYP Lemma for QSR Dissipative System/
 * 7) /KYP Lemma without Feedthrough/
 * 8) /KYP Lemma with Feedthrough/
 * 9) /KYP Lemma for Descriptor Systems/
 * 10) Discrete Time KYP Lemmas
 * 11) /Discrete Time Bounded Real Lemma/
 * 12) /Discrete Time KYP Lemma for QSR Dissipative System/
 * 13) /Discrete Time KYP Lemma with Feedthrough/
 * 14) Deduced LMI Conditions for H∞ Index
 * 15) /H2 Norm of Linear Systems/
 * 16) /Continuous-Time H2 Norm/
 * 17) / Discrete-Time H2 Norm/
 * 18) /Generalized H2 Norm/
 * 19) /Deduced LMI Conditions for H2 Index/
 * 20) /Conic Sectors/
 * 21) /Conic Sector Lemma/
 * 22) /Exterior Conic Sector Lemma/
 * 23) /Modified Exterior Conic Sector Lemma
 * 24) Generalized KYP(GKYP) 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) Generalized Negative Imaginary Lemma
 * 33) Algebraic Riccati Inequalities
 * 34) Algebraic Riccati Inequality
 * 35) Discrete-Time Algebraic Riccati Inequality
 * 36) Variable Reduction Lemma
 * 37) System Zeros
 * 38) System Zeros without Feedthrough
 * 39) System Zeros with Feedthrough
 * 40) DC Gain of a Transfer Matrix
 * 41) Dissipativity of Linear Systems
 * 42) Small Gain Theorem
 * 43) Passivity and Positive Realness
 * 44) Non-expansivity and Bounded Realness
 * 45) Stability Theory
 * 46) Lyapunov Inequalities
 * 47) Lyapunov stability
 * 48) Discrete-time Lyapunov Stability
 * 49) Algebric Ricatti Inequalities
 * 50) Discrete-time Algebric Ricatti Inequality
 * 51) Schur Stabilizability
 * 52) Quadratic Stability
 * 53) Continuous-Time Quadratic Stability
 * 54) Discrete-Time Quadratic Stability
 * 55) Quadratic Schur Stability
 * 56) D-Stabilization
 * 57) D-Stability Rise Time Poles
 * 58) D-Stability Settling Time Poles
 * 59) D-Stability Max Percent Overshoot Poles