SIAM Journal on Control and Optimization, Vol.41, No.3, 954-974, 2002
Multiscale singularly perturbed control systems: Limit occupational measures sets and averaging
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:multiscale singularly perturbed control systems;occupational measures;averaging method;limit occupational measures sets;nonlinear control;approximation of slow motions