
handle: 10722/156967
This paper gives a parametrization of X in the non-strict inequality X E T = E X T ≥ 0, which has been widely used in the study of continuous-time descriptor systems. Based on this paprametrization, necessary and sufficient conditions for generalized quadratic stabilization and a guaranteed cost control law are given in terms of strict LMIs for continuous-time descriptor systems.
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Descriptor Systems, Linear Matrix Inequality (Lmi), Continuous-Time, Linear systems in control theory, Guaranteed Cost Control, Control/observation systems with incomplete information, quadratic stabilizability, Sensitivity (robustness), Stabilization of systems by feedback, linear matrix inequalities, Implicit ordinary differential equations, differential-algebraic equations
Descriptor Systems, Linear Matrix Inequality (Lmi), Continuous-Time, Linear systems in control theory, Guaranteed Cost Control, Control/observation systems with incomplete information, quadratic stabilizability, Sensitivity (robustness), Stabilization of systems by feedback, linear matrix inequalities, Implicit ordinary differential equations, differential-algebraic equations
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