Title :
Sliding modes in infinite dimensional dynamic systems with vector impulse control
Author :
Basin, Michael V.
Author_Institution :
Dept. of Math., Nevada Univ., Reno, NV, USA
Abstract :
In this paper, the existence and uniqueness problem is studied for sliding modes in infinite dimensional dynamic systems described by differential equations with vector impulse control. A sliding mode equation is obtained to maintain a trajectory on a sliding mode manifold. The existence and uniqueness conditions are given for a solution of a sliding mode equation
Keywords :
differential equations; multidimensional systems; variable structure systems; differential equations; infinite dimensional dynamic systems; sliding mode manifold trajectory; vector impulse control; Control systems; Differential equations; Mathematics; Sliding mode control;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611069