Stability analysis of hybrid jump linear systems with Markov inputs

被引：0
|
作者：
Tejada, Arturo [1 ]
Gonzalez, Oscar R. [1 ]
Gray, W. Steven [1 ]
机构：
[1] Old Dominion Univ, Dept Elect & Comp Engn, Norfolk, VA 23529 USA
来源：
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2007年
关键词：
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：
Hybrid jump linear systems (HJLS's) were introduced to study the properties of supervisory control systems. In a recent publication, a mean square (MS) stability test was introduced for HJLS's with Moore output maps and i.i.d. inputs. In this paper, a similar test is developed for HJLS's of this type but with Markov inputs. The test requires one to first construct an auxiliary HJLS with equivalent stability properties. Then, a particular matrix, A is constructed taking into consideration the auxiliary system's structure and associated Markov kernel. Finally, the spectral radius of A is compared against 1 to determine the stability of the original HJLS.
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页码：2341 / 2346
页数：6
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