Permanence and ultimate boundedness for discrete-time switched models of population dynamics - Details

Author：

Aleksandrov, A.Y. (Aleksandrov, A.Y..) | Chen, Y. (Chen, Y..) | Platonov, A.V. (Platonov, A.V..)

Indexed by：

Scopus

Abstract：

The　problems　of　permanence　and　ultimate　boundedness　for　a　class　of　discrete-time　Lotka-Volterra　type　systems　with　switching　of　parameter　values　are　studied.　Two　new　approaches　for　the　constructing　of　a　common　Lyapunov　function　for　the　family　of　subsystems　corresponding　to　a　switched　system　are　suggested.　Sufficient　conditions　in　terms　of　linear　inequalities　are　obtained　to　guarantee　that　the　solutions　of　the　considered　system　are　ultimately　bounded　or　permanent　for　an　arbitrary　switching　law.　An　example　is　presented　to　demonstrate　the　effectiveness　of　the　obtained　results.　©　2014　InforMath　Publishing　Group.

Keyword：

Common lyapunov function; Discrete-time models; Linear inequalities; Population dynamics; Switched system; Ultimate boundedness

Author Community：

[ 1 ] [Aleksandrov, A.Y.]Saint Petersburg State University, 35 Universitetskij Pr, Petrodvorets, St. Petersburg 198504, Russian Federation
[ 2 ] [Chen, Y.]Beijing University of Technology, 100 Pingleyuan, Chaoyang, Beijing 100124, China
[ 3 ] [Platonov, A.V.]Saint Petersburg State University, 35 Universitetskij Pr, Petrodvorets, St. Petersburg 198504, Russian Federation

Reprint Author's Address：

[Aleksandrov, A.Y.]Saint Petersburg State University, 35 Universitetskij Pr, Petrodvorets, St. Petersburg 198504, Russian Federation

Email：

alex43102006@yandex.ru

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Source ：

Nonlinear Dynamics and Systems Theory

ISSN： 1562-8353

Year： 2014

Issue： 1

Volume： 14

Page： 1-10

Cited Count：

WoS CC Cited Count： 0

SCOPUS Cited Count：

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 7

Affiliated Colleges：

学院待认领

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