Title :
Asymptotic stability of nonlinear systems with holomorphic structure
Author :
Dayawansa, W.P. ; Martin, C.F.
Author_Institution :
Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA
Abstract :
It is shown that if a system dx/dt=F( z), for z∈Cn, F:Cn→Cn holomorphic, t∈R, is locally asymptotically stable at some equilibrium point in the Nth approximation for some N, then necessarily its linear part is asymptotically stable also
Keywords :
nonlinear control systems; stability; holomorphic structure; local asymptotic stability; nonlinear systems; Asymptotic stability; Differential equations; Educational institutions; Eigenvalues and eigenfunctions; Mathematics; NASA; Nonlinear systems; Polynomials; Vectors; Writing;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70569
