Comments on integral variants of ISS 1
نویسنده
چکیده
This note discusses two integral variants of the input-to-state stability (ISS) property, which represent nonlinear generalizations of L stability, in much the same way that ISS generalizes L∞ stability. Both variants are equivalent to ISS for linear systems. For general nonlinear systems, it is shown that one of the new properties is strictly weaker than ISS, while the other one is equivalent to it. For bilinear systems, a complete characterization is provided of the weaker property. An interesting fact about functions of type KL is proved as well. c © 1998 Elsevier Science B.V. All rights reserved.
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Comments on integral variants of ISS 1 Eduardo
This note discusses two integral variants of the input-to-state stability (ISS) property, which represent nonlinear generalizations of L stability, in much the same way that ISS generalizes L∞ stability. Both variants are equivalent to ISS for linear systems. For general nonlinear systems, it is shown that one of the new properties is strictly weaker than ISS, while the other one is equivalent ...
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