Title :
Representation of generalized solutions for nonlinear dynamic systems with impulse control
Author :
Miller, Boris M.
Author_Institution :
Inst. of Inf. Transmission Problems, Acad. of Sci., Moscow, Russia
Abstract :
Considers a dynamic system whose state is governed by a nonlinear differential equation with two types of control. One of the controls is not bounded in the norm and can be taken in the form that is as close as desired to impulse functions of a δ-function type. In this case the corresponding solution of the differential equation is a discontinuous function and it requires that the concept of solution be extended. The author´s main problem is to find the response of a dynamic system to a pulsed control or a generalized control
Keywords :
nonlinear control systems; nonlinear differential equations; nonlinear dynamical systems; sampled data systems; δ-function; discontinuous function; generalized control; generalized solutions; impulse control; nonlinear differential equation; nonlinear dynamic systems; pulsed control; Blades; Control systems; Fuels; Integral equations; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Space vehicles; Vehicle dynamics;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411125
