Title :
A novel method for efficient numerical stability analysis of delay-differential equations
Author :
Kalmár-Nagy, Tamás
Author_Institution :
United Technol. Res. Center, East Hartford, CT, USA
Abstract :
It is shown that the method of steps for linear delay-differential equation can be formally used to find an infinite-dimensional linear map whose stability is equivalent to that of the delay equation. The truncated map can be used to estimate the spectrum of the discrete version of the evolution semigroup associated with the continuous equation. The method provides an efficient way to numerically determine stability regions in parameter space.
Keywords :
delays; differential equations; numerical stability; infinite-dimensional linear map; linear delay-differential equation; numerical stability analysis; parameter space stability regions; Chebyshev approximation; Delay effects; Delay lines; Delay systems; Differential equations; NIST; Numerical stability; Stability analysis; Surges; Vectors;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470397
