非线性时滞控制系统多步Runge-Kutta方法的IS稳定性  

INPUT-TO-STATE STABILITY OF MULTISTEP RUNGE-KUTTA METHODS FOR NONLINEAR CONTROL SYSTEMS WITH DELAY

作　　者：田献珍[1] 孙立强[2] 

机构地区：[1]广西科技大学鹿山学院基础教学部 [2]中国人民解放军75131部队

出　　处：《高等学校计算数学学报》2015年第1期71-80,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：广西高等教育教学改革工程重点项目(项目编号:2014JGZ192)

摘　　要：1引言 考虑非线性时滞控制系统初值问题The input-to-state stability （ISS） is an important part of control sys- tems. However, the ISS of numerical methods were studied by few authors. This paper is concerned with the ISS of multistep Runge-Kutta methods for a class of nonlinear control systems with delay, and it is proved that a （k, l）-algebraically stable multistep Runge-Kutta method is ISS. Numerical experiment confirms the obtained theoretical results.

关 键 词：时滞控制系统 非线性 稳定性 IS 多步 初值问题 

分 类 号：O241.8[理学—计算数学]