DocumentCode
764033
Title
On the stability of coupled delay differential and continuous time difference equations
Author
Pepe, Pierdomenico ; Verriest, Erik I.
Author_Institution
Dipt. di Ingegneria Elettrica, Univ. degli Studi dell´´Aquila, L´´Aquila, Italy
Volume
48
Issue
8
fYear
2003
Firstpage
1422
Lastpage
1427
Abstract
A Lyapunov-type stability analysis for coupled delay differential and continuous time difference equations is given. Such systems are encountered as the internal dynamics of input output linearized nonlinear time delay systems. They appear also in lossless propagation models, economics and gas dynamics. The main contribution of this note is a two-step algorithm for the stability analysis of such systems. At the first step, only the L2 stability is checked; while at the second step, the Lyapunov stability of the difference part of the system is analyzed. In these two steps, the stability of the whole system can be checked. Using this method, we show the stability of a system (dependent on the delay), for which the known methods in literature are inconclusive.
Keywords
asymptotic stability; control system analysis; delay-differential systems; difference equations; nonlinear systems; Lyapunov stability; Lyapunov-Krasovskii methodology; asymptotic stability; continuous time difference equations; delay differential equations; internal dynamics; nonlinear systems; time delay systems; Asymptotic stability; Couplings; Delay effects; Delay lines; Delay systems; Difference equations; Lyapunov method; Nonlinear dynamical systems; Propagation losses; Stability analysis;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2003.815036
Filename
1220760
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