Title :
Averaging theory for functional differential equations
Author :
Lehman, Brad ; Weibel, Steven P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
Abstract :
Previous work by the authors (1997, 1998) has established new averaged models for time-dependent functional differential equations (FDE). In this paper,we present new theorems extending the existing theory to infinite time intervals and a more general class of FDE. Improvements over the classical theory are illustrated in simulations
Keywords :
control system analysis; differential equations; functional equations; stability; FDE; averaging theory; infinite time intervals; stability analysis; time-dependent functional differential equations; Analytical models; Collision mitigation; Control design; Control system synthesis; Delay; Differential equations; Marine vehicles; Numerical simulation; Stability analysis; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758473
