Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects

Liu Y.; Zhao S.

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Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects

机译：具有多个时滞和脉冲效应的线性时变系统的可控性分析

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In this paper, the issue of controllability for linear time-varying systems with multiple time delays in the control and impulsive effects is addressed. The solution of such systems based on the variation of parameters is derived. Several sufficient and necessary algebraic conditions for two kinds of controllability, i.e., controllability to the origin and controllability, are derived. The relation among these conditions are established. A numerical example is provided to illustrate the effectiveness of the proposed methods.

机译：在本文中，解决了线性时变系统在控制和脉冲效应中具有多个时间延迟的可控性问题。推导了基于参数变化的此类系统的解决方案。推导了两种可控性的几个充分必要的代数条件，即对原点的可控性和可控性。这些条件之间的关系已建立。数值例子说明了所提方法的有效性。

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《Nonlinear analysis. Real world applications》 |2012年第2期|共11页
作者
Liu Y.; Zhao S.;
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正文语种 eng
中图分类数学分析;
关键词
Controllability; Time delay; Time-varying impulsive system;

机译：可控性;时滞;时变脉冲系统;

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专利

1. Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects [J] . Liu Y., Zhao S. Nonlinear analysis. Real world applications . 2012,第2期

机译：具有多个时滞和脉冲效应的线性时变系统的可控性分析
2. Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls [J] . M.de la Sen Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第2期

机译：时变点时滞和脉冲控制下多线性时变动力系统的全局稳定性
3. Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls [J] . M.de la Sen Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第5期

机译：时变点时滞和脉冲控制下多线性时变动力系统的全局稳定性
4. Second-order Consensus of Multi-agent Systems with Nonlinear Dynamics and Time-varying Delays via Impulsive Control [C] . Kuo Feng, Yan Wang, Hong Zhou, Chinese Control and Decision Conference . 2016

机译：具有非线性动力学和时变延迟通过冲动控制的二阶达成二阶共识
5. Cluster treatment of characteristic roots, CTCR, a unique methodology for the complete robustness analysis of linear time invariant multiple time delay systems against delay uncertainties. [D] . Sipahi, Rifat. 2005

机译：群集处理特征根，CTCR，一种独特的方法，可以针对时延不确定性对线性时不变多次时滞系统进行完整的鲁棒性分析。
6. Exponential synchronization for fuzzy cellular neural networks with time-varying delays and nonlinear impulsive effects [O] . Hao Pu, Yanmin Liu, Haijun Jiang, 2015

机译：具有时变时滞和非线性脉冲效应的模糊细胞神经网络的指数同步
7. Controllability of nonlinear stochastic systems with multiple time-varying delays in control [O] . Karthikeyan Shanmugasundaram, Balachandran Krishnan, Sathya Murugesan 2015

机译：控制系统中具有多个时变时滞的非线性随机系统的可控性

Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects

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