Title :
A semi-infinite optimization problem in harmonic analysis of uncertain systems
Author :
Jönsson, Ulf T. ; Kao, Chung-Yao ; Megretski, Alexandre
Author_Institution :
R. Inst. of Technol., Stockholm, Sweden
Abstract :
Systems analysis frequently results in feasibility problems. We discuss the case when the feasibility problem involves self-adjoint operators defined on the space of square integrable periodic functions. We show that such feasibility problems also appear as conditions for existence of periodic solutions to periodically forced uncertain systems and in analysis of harmonics in uncertain feedback systems
Keywords :
eigenvalues and eigenfunctions; harmonic analysis; matrix algebra; maximum principle; network analysis; operational amplifiers; optimisation; uncertain systems; feasibility problems; harmonic analysis; linear matrix inequalities; semi-infinite optimization problem; state space realization; uncertain systems; Control system synthesis; Frequency; Harmonic analysis; Linear matrix inequalities; Nonlinear systems; Space technology; Stability analysis; State-space methods; Symmetric matrices; Uncertain systems;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946379
