Controllability of Nonlinear Discrete Systems with Degeneracy  

作　　者：Yue LYU Xue-li TAN Xue YANG Yong LI 

机构地区：[1]School of Mathematics,Jilin University,Changchun,130012,China [2]Center for Mathematics and Interdisciplinary Sciences,Northeast Normal University,Changchun 130024,China

出　　处：《Acta Mathematicae Applicatae Sinica》2023年第2期293-305,共13页应用数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (grant No.41874132);supported by National Natural Science Foundation of China (grant No.11201173);National Natural Science Foundation of China (grant No.11171132,grant No.11571065);Science and Technology Developing Plan of Jilin Province (grant No.20180101220JC);supported by National Basic Research Program of China (grant No.2013CB834100);Jilin DRC (grant No.2017C028-1)。

摘　　要：This paper concerns the controllability of autonomous and nonautonomous nonlinear discrete systems,in which linear parts might admit certain degeneracy.By introducing Fredholm operators and coincidence degree theory,sufficient conditions for nonlinear discrete systems to be controllable are presented.In addition,applications are given to illustrate main results.

关 键 词：nonlinear discrete systems CONTROLLABILITY DEGENERACY Fredholm operators coincidence degree theory 

分 类 号：O231[理学—运筹学与控制论]