Title :
Notions of integral input-to-state stability
Author_Institution :
Dept. of Math., State Univ. of New Jersey, Piscataway, NJ, USA
Abstract :
The input-to-state stability (ISS) property is a nonlinear version of stability with respect to the uniform norm. The paper introduces two variations of the ISS concept, to allow consideration of integrals when measuring the magnitude of an input or of a state trajectory. It is proved that one of the two properties is strictly weaker than ISS and the other one is equivalent to ISS
Keywords :
identification; integral equations; stability; input trajectory; integral input-to-state stability; state trajectory; uniform norm; Linear systems; Mathematics; Stability; State estimation;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.688455
