Search results for "polytopic uncertainties"

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Robust control of continuous-time systems with state-dependent uncertainties and its application to electronic circuits

2014

In this paper, the problems of robust stability and stabilization are investigated for a class of continuous-time uncertain systems. The uncertainties in the model are state-dependent and belong to a polytopic convex set, as can be found in many electronic circuits and some other applications. The global asymptotic stability conditions for such systems are first established by the classic common quadratic Lyapunov function approach. To reduce conservativeness, a particular class of nonquadratic parameter-dependent Lyapunov functions is introduced, by which improved robust stability conditions for the underlying systems are also derived. Based on the stability criteria, a static output feedb…

Lyapunov functionMathematical optimizationConvex setStability (learning theory)robust stabilitysymbols.namesakevectorsExponential stabilityControl theoryElectronic circuitsElectrical and Electronic EngineeringuncertaintyLyapunov methodsMathematicsLyapunov functionsComputer Science Applications1707 Computer Vision and Pattern RecognitionStability conditionsuncertain systemsControl and Systems Engineeringsymbolselectronic circuitsElectronic circuits; Lyapunov functions; polytopic uncertainties; robust stability; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic EngineeringRobust controlrobust controlNetwork analysispolytopic uncertainties
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