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• W2162750481 startingPage "1082" @default.
• W2162750481 abstract "The notion of input-to-state stability (ISS) is now recognized as a central concept in nonlinear systems analysis. It provides a nonlinear generalization of finite gains with respect to supremum norms and also of finite L/sup 2/ gains. It plays a central role in recursive design, coprime factorizations, controllers for nonminimum phase systems, and many other areas. In this paper, a newer notion, that of integral input-to-state stability (iISS), is studied. The notion of iISS generalizes the concept of finite gain when using an integral norm on inputs but supremum norms of states, in that sense generalizing the linear H/sup 2/ theory. It allows one to quantify sensitivity even in the presence of certain forms of nonlinear resonance. We obtain several necessary and sufficient characterizations of the iISS property, expressed in terms of dissipation inequalities and other alternative and nontrivial characterizations." @default.
• W2162750481 created "2016-06-24" @default.
• W2162750481 creator A5024437562 @default.
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• W2162750481 date "2000-06-01" @default.
• W2162750481 modified "2023-10-10" @default.
• W2162750481 title "A characterization of integral input-to-state stability" @default.
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• W2162750481 doi "https://doi.org/10.1109/9.863594" @default.
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