Title :
Multiscale singularly perturbed control systems: limit occupational measures sets and averaging
Author :
Gaitsgory, Vladimir ; Nguyen, Minh-Tuan
Author_Institution :
Sch. of Math. & Stat., South Australia Univ., Mawson Lakes, SA, Australia
Abstract :
An averaging technique for nonlinear multiscale singularly perturbed control systems is developed. Issues concerning the existence and structure of limit occupational measures sets generated by such systems are discussed. General results are illustrated with special cases.
Keywords :
optimal control; singularly perturbed systems; averaging technique; limit occupational measures sets; singularly perturbed control systems; Australia; Control systems; Couplings; Extraterrestrial measurements; Lakes; Mathematics; Nonlinear control systems; State-space methods; Statistics; Time measurement;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272695
