Deterministic and Stochastic Multi-Mode Multi-Dimensional Systems with Application to Switched Systems with Delay

被引：7

作者：

Verriest, Erik I. ^{[1
]}

机构：

[1] Georgia Inst Technol, Fac Elect & Comp Engn, Atlanta, GA 30332 USA

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

关键词：

D O I：

10.1109/CDC.2009.5400449

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The dynamics of hybrid systems with mode dynamics of different dimensions is described. The first part explores structural properties of such multi-mode multidimensional (M-3 D) systems. The second part considers such models under sequential switching at random times. More specifically, the backward Kolmogorov equation is derived. This is applied to a causally restricted hybrid system containing a mode with delay. Causal restriction is necessitated by the condition (tau) over dot <= 1 which must be imposed on systems with time-variant delay, tau(t).

引用

页码：3958 / 3963

页数：6

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