Title :
Robustness of periodic trajectories
Author :
Jönsson, Ulf T. ; Kao, Chung-Yao ; Megretski, Alexandre
Author_Institution :
Div. of Optimization & Syst. Theory, R. Inst. of Technol., Stockholm, Sweden
Abstract :
Robustness analysis of periodic trajectories is discussed in the paper. Conditions for existence and stability of periodic solutions to uncertain non-autonomous systems is obtained from a linearization of the system along an uncertain trajectory. Furthermore, a bound on the distance between the perturbed and the nominal trajectory is verified using a sensitivity derivative
Keywords :
Banach spaces; asymptotic stability; differential equations; integral equations; rational functions; robust control; transfer functions; transient response; uncertain systems; linearization; nominal trajectory; periodic trajectories; perturbed trajectory; robustness analysis; sensitivity derivative; uncertain nonautonomous systems; uncertain trajectory; Differential equations; Integral equations; Robustness; Stability; Sufficient conditions; Time varying systems; Transfer functions; Uncertainty;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876712
