DocumentCode
3550967
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
fYear
2005
fDate
8-10 June 2005
Firstpage
2823
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;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2005. Proceedings of the 2005
ISSN
0743-1619
Print_ISBN
0-7803-9098-9
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2005.1470397
Filename
1470397
Link To Document