Stochastic Regularization and Stabilization of Hybrid Functional Differential Equations

被引：0

作者：

Zong, Xiaofeng ^{[1
]}

Wu, Fuke ^{[2
]}

Yin, George ^{[3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[3] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年

关键词：

Stochastic regularization; moment stabilization; almost sure stabilization; hybrid FDE; JUMP DIFFUSION-SYSTEMS; NOISE SUPPRESSES; STABILITY; DESTABILIZATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This work much extends our recent results published in SIAM Journal on Control and Optimization [1]. In lieu of switching jump diffusions, we examine stochastic systems with delays. We focus on stochastic regularization and stabilization for hybrid functional differential equations (FDEs). The main difficulty is that the hybrid functional systems without the linear growth condition grow much faster than linear and may have a finite explosion time. By introducing appropriate feedback controls (functions of Brownian motions), the perturbed hybrid functional systems become regular, and stable.

引用

页码：1211 / 1216

页数：6