Title :
On asymptotic quiescent position of nonlinear difference systems with perturbations
Author :
Sergey Yu. Kuptsov;Svetlana E. Kuptsova;Uliana P. Zaranik
Author_Institution :
St. Petersburg State University, 7/9 Universitetskaya nab., 199034 Russia
Abstract :
In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.
Keywords :
"Difference equations","Differential equations","Trajectory","Asymptotic stability","Nonlinear systems","Stability analysis","Electronic mail"
Conference_Titel :
"Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
DOI :
10.1109/SCP.2015.7342041
