Title :
Exponential stability of quasi-linear non-autonomous differential equations in Banach spaces
Author_Institution :
Dept. of Math. & Phys., Panzhihua Univ., Panzhihua
Abstract :
This paper is concerned with the exponential stability of the zero solution of a quasi-linear differential equation in a Banach space, it is proved that the quasi-linear non-autonomous differential equation is exponentially stable if and only if the associated linear non-autonomous differential equation is exponentially stable.
Keywords :
Banach spaces; asymptotic stability; differential equations; Banach spaces; exponential stability; quasilinear nonautonomous differential equation; zero solution; Character generation; Control systems; Differential equations; Mathematics; Nonlinear control systems; Physics; Stability analysis; State-space methods; Sufficient conditions; Yttrium; Evolution family; Exponential stability; Quasi-linear differential equation;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605484
