Robust stabilization of singular-impulsive-delayed systems with nonlinear perturbations
Robust stabilization of singular-impulsive-delayed systems with nonlinear perturbations
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DOI：
10.1109/81.940192
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发表时间：
2001-08
影响因子：
5.1
通讯作者：
Zhiho Guan;C. W. Chan;A. Leung;Guanrong Chen
中科院分区：
文献类型：
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作者：
Zhiho Guan;C. W. Chan;A. Leung;Guanrong Chen
物理、化学、生物、工程和信息科学中的许多动态系统由于动力学过程中某些时刻的突然跳跃而具有脉冲动力学行为，并且这些复杂的动态行为可以通过奇异脉冲微分系统来建模。本文制定并研究了具有非线性扰动不确定性的奇异脉冲延迟系统模型。建立了诸如此类系统的全局指数稳健稳定性等几个基本问题。然后提出了一种设计鲁棒脉冲控制器的简单方法。给出了一个数值例子来说明理论结果。同时，导出并讨论了与M矩阵和时滞动态系统相关的一些新结果和细化性质。
Many dynamic systems in physics, chemistry, biology, engineering, and information science have impulsive dynamical behaviors due to abrupt jumps at certain instants during the dynamical process, and these complex dynamic behaviors can be modeled by singular impulsive differential systems. This paper formulates and studies a model for singular impulsive delayed systems with uncertainty from nonlinear perturbations. Several fundamental issues such as global exponential robust stabilization of such systems are established. A simple approach to the design of a robust impulsive controller is then presented. A numerical example is given for illustration of the theoretical results. Meanwhile, some new results and refined properties associated with the M-matrices and time-delay dynamic systems are derived and discussed.