Input-to-state stability for parabolic boundary control:linear and semilinear systems
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Input-to-state stability (ISS) for systems described by partial differential equations has seen intensified research activity recently, and in particular the class of boundary control systems, for which truly infinite-dimensional effects enter the situation. This note reviews input-to-state stability for parabolic equations with respect to general Lp-input-norms in the linear case and includes extensions of recent results on semilinear equations.
KeywordsInput-to-state Stability Boundary Control Parabolic Equation Semilinear Equation
Mathematics Subject Classification (2010)93C20 35K58 47D06 93D20 93C05
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