Title :
Zames-Falb multipliers for systems with time periodic nonlinearities
Author :
Altshuller, D.A.
Author_Institution :
St. Petersburg State Univ.
Abstract :
The paper considers the problem of the absolute stability of systems with time periodic nonlinearities. The new criteria obtained have the Zames-Falb multiplier form previously known for systems with stationary nonlinearities. The method of proving the results is based on the integral-quadratic constraints in the frequency domain.
Keywords :
Fourier series; Hermitian matrices; absolute stability; control nonlinearities; feedback; stability criteria; time-varying systems; Hermitian matrix; Zames-Falb multipliers; absolute stability; feedback system; frequency domain; integral-quadratic constraints; stability criterion; time periodic nonlinearities; Equations; Fourier transforms; Frequency domain analysis; MIMO; Stability; State estimation; Vectors;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024782
