SUFFICIENT CONDITIONS FOR a - STABILITY OF LINEAR TIME DELAY SYSTEMS  

Oleh:

DE LA SEN, M ; Luo, Ningsu

Jenis: Article from Article
Dalam koleksi: Final Program and Book of Abstracts: The 4th Asian Control Conference, September 25-27, 2002 (Sep. 2002), page 802-806.
Topik: Delay System; Linear; Lyapunov; Delay Dynamic
Fulltext: AC021104.PDF (186.63KB)

Isi artikel

The asymptotic stability of time delayed systems subject to multiple bounded point delays has received important attention in the last years (see, for instance [1-5]). It is basically proved that the a- stability locally in the delays (i.e. all the eigenvalues have prefixed strictly negative real parts located in Re s =- a < 0) may be tested for a set of admissible delays including possible zero delays either through a set of Lyapunov’ s matrix inequalities or, equivalently, by checking that an identical number of matrices related to the delayed dynamics are all stability matrices. The result may be easily extended to check the e-asymptotic stability independent of the delays, i.e., for all the delays having any values, the eigenvalues are stable and located in Re s = e ?0 - , [1] , [3]. The above referred number is 2 r for a set of distinct r point delays and includes all possible cases of alternate signs for summations for all the matrices of delayed dynamics, [3].1 Introduction.

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