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Integral input-to-state stability of unbounded bilinear control systems

René Hosfeld, Birgit Jacob, Felix L. Schwenninger

2022Mathematics of Control Signals and Systems11 citationsDOIOpen Access PDF

Abstract

Abstract We study integral input-to-state stability of bilinear systems with unbounded control operators and derive natural sufficient conditions. The results are applied to a bilinearly controlled Fokker–Planck equation.

Topics & Concepts

MathematicsBilinear interpolationState (computer science)Stability (learning theory)Control theory (sociology)Control (management)Applied mathematicsCalculus (dental)Computer scienceAlgorithmArtificial intelligenceMedicineStatisticsDentistryMachine learningStability and Controllability of Differential EquationsControl and Stability of Dynamical SystemsNumerical methods for differential equations
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