WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 10, 2015
Existence and Global Attractivity of Positive Periodic Solutions in Shifts δ± for a Nonlinear Dynamic Equation with Feedback Control on Time Scales
Authors: ,
Abstract: This paper is concerned with a nonlinear dynamic equation with feedback control on time scales. Based on the theory of calculus on time scales, by using a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions in shifts ± of the system; then, by using some differential inequalities and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the global attractivity of the system are obtained. Finally, two numerical examples are presented to illustrate the feasibility and effectiveness of the results.
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Keywords: positive periodic solution, global attractivity, shift operator, feedback control, time scale
Pages: 48-57
WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 10, 2015, Art. #7