The time-delayed chaotic system is infinitedimensional systems, and it can generate multiple positive Lyapunov exponents , and it is more difficult to be analysised and controled.
延迟混沌系统是无限维系统，能生成多个正的李雅普诺夫指数，对其分析和控制都比较困难。
2
Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinitedimensional dynamical system, complex dynamical system and ergodic theory etc.
今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。
3
In this paper, the necessary and sufficient conditions of controllability on a infinitedimensional semilinear system are given.