变维控制系统瞬态动力学的实现
Realization of the transient dynamics of dimension-varying control systems
摘要：
变维控制系统的动态演化行为经常出现在遗传调节网络、汽车离合器系统等领域。如何实现不同维子系统之间的平稳变维（瞬态动力学）过程是变维控制系统研究的一个有趣而有意义的问题。商空间方法被认为是对变维控制系统瞬态动力学建模的有效工具，本文研究了变维控制系统瞬态动力学的实现问题。通过揭示线性系在商空间上的可控子空间的结构，给出了变维控制系统瞬态动力学实现的条件，并在此基础上给出了一种新的瞬态动力学建模方案.此外，所提出的计划证明了现有的结果的策略建模的瞬态动力学。最后给出一个数值例子来说明我们的理论结果。
英文摘要：
Dynamic evolution behaviors of dimension-varying control systems often appear in the genetic regulatory network and the vehicle clutch system etc. An interesting and significant study on dimension-varying control systems is how to realize the dimension-varying (the transient dynamics) process smoothly between the different dimensional subsystems. The quotient space approach is considered as an effective tool to model the transient dynamics of dimension-varying control systems.This paper investigates the realization problem of the transient dynamics of dimension-varying control systems. By revealing the structure of the controllable subspace for the linear system on quotient space, we propose the condition for the realization of the transient dynamics of dimension-varying control systems, based on which a new scheme for modeling the transient dynamics is given. Moreover, the proposed scheme justifies the existing result for the strategy for modelling the transient dynamics. A numeric example is given to illustrate our theoretical results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
