Mathematical Problems in Engineering · 2000 · 180 citations · 0 references
EngineeringMathematicsDynamical SystemsProcess ControlSystems ModelingControl Of Dynamical SystemsControl SystemsControl TheoryFrequency-domain AnalysisNumerical StabilityRobust ControlRobust Control Of Uncertain SystemsRobustness AnalysisStability Analysis Of Linear SystemsSystem Stability
The contribution of this paper is twofold. First we give a generalization of the S ‐procedure which has been proven useful for robustness analysis of control systems. We then apply the generalized S ‐procedure to derive an extension of the Kalman – Yakubovich – Popov lemma that converts a frequency domain condition within a finite interval to a linear matrix inequality condition suitable for numerical computations.