Structural stability of linear dynamically varying (LDV) controllers

S. Bohacek, E. Jonckheere
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)  
Linear dynamically varying (LDV) controllers have been shown t o be useful in controlling nonlinear dynamical systems on compact sets, especially chaotic systems. In this paper it is shown that the ability t o stabilize a dynamical system with a n LDV controller is structurally stable in the C' topology, the Lipschitz topology and, in a restricted sense, the topology provided that these systems are near enough t o an LDV stabilizable C' dynamical system. Furthermore, the optimal LDV controller
more » ... s shown t o depend continuously on the dynamical system.
doi:10.1109/cdc.1998.762062 fatcat:g75vycuzhbfqbk3c3nvgo3pwju