Further stability criteria for time-delay systems with interval time-varying delays
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
IFAC Secretariat
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, a novel stability criterion is developed for time-delay systems having time-varying delays that belong to a given range. Based on a choice of different type of Lyapunov -Krasovskii functional in an extensively augmented form, some new delay-range dependent stability criteria are proposed. This developed stability result has advantages over some previous ones. First, the method is based on the selection of a new, extensively augmented Lyapunov-Krasovskii functional which does not only take the delay range into account but also the weighted version of it. Second it estimates the upper bound of the derivative of the Lyapunov functional without ignoring some useful integral terms. Finally, we have introduced several free slack variables in relation with Newton-Leibniz formula to provide some kind of relaxation for the proposed stability criteria. In addition to this, we have also employed the method of completing to squares which has enabled to provide further relaxation with some additional decision variables. © 2011 IFAC.
Açıklama
Anahtar Kelimeler
Interval Delays, Lmıs, Lyapunov-Krasovskii Functional, Stability, Time-Delay, Convergence Of Numerical Methods, Delay Control Systems, Lyapunov Functions, System Stability, Time Delay, Time Varying Control Systems, Timing Circuits, Decision Variables, Delay-Range-Dependent, Interval Delay, Interval Time-Varying Delays, Lmıs, Lyapunov Functionals, Lyapunov-Krasovskii Functionals, Time Varying- Delays, Stability Criteria
Kaynak
IFAC Proceedings Volumes (IFAC-PapersOnline)
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
44
Sayı
1 PART 1
