Title :
Quantitative robustness measure of uncertain time delay systems via nonsingularity analysis
Author_Institution :
Dept. of Electron. Eng., Lunghwa Junior Coll. of Technol. & Commerce, Taiwan
fDate :
5/1/1998 12:00:00 AM
Abstract :
The objective of this paper is to derive an upper bound for the delay time constant such that a linear uncertain time delay system still keeps its asymptotic stability, if it is nominally stable and the delay time constant remains smaller than the upper bound. The problem is solved by using matrix measure and nonsingularity analysis of matrices, and the results are shown to be less conservative than previous results
Keywords :
asymptotic stability; delay systems; linear systems; matrix algebra; robust control; uncertain systems; asymptotic stability; delay time constant; nonsingularity analysis; quantitative robustness measure; uncertain time delay systems; Asymptotic stability; Control theory; Delay effects; Eigenvalues and eigenfunctions; Feedback; Measurement uncertainty; Robustness; Stability analysis; Time measurement; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on