Title :
A necessary condition for quantitative exponential stability of linear state space systems
Author :
Lewkowicz, Izchak
Author_Institution :
Dept. of Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel
Abstract :
An easy-to-check necessary condition for exponential stability, with a prescribed convergence rate, for linear state space systems, is introduced. The case where this condition is sufficient as well, is characterized. As a by-product, this result suggests that, the notion of “slowly varying state-space systems”, commonly used in literature, is mathematically not natural to the problem of exponential stability
Keywords :
asymptotic stability; convergence; linear systems; multidimensional systems; state-space methods; convergence; exponential stability; linear systems; multidimensional systems; necessary condition; state space systems; Asymptotic stability; Convergence; Loss measurement; Lyapunov method; Sections; State-space methods; Sufficient conditions;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.760751
