DocumentCode :
2482518
Title :
Stability of Systems with Random Parameters
Author :
Raghavan, Vasanthan ; Barmish, B. Ross
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI
fYear :
2006
fDate :
13-15 Dec. 2006
Firstpage :
3180
Lastpage :
3185
Abstract :
This paper addresses the problem of stability of a system with uncertainty modelled as a random matrix. The mean of the matrix is assumed to be stable while the variations around the mean model the effect of uncertainty in the parameters. Using some recent advances in random matrix theory, we provide sufficient conditions under which stability is assured with probability one as the dimension of the system increases. This is called limit stability. Our results are stated in terms of a stability margin which corresponds to the size of the variance of the uncertain parameters which can be tolerated
Keywords :
matrix algebra; probability; stability; uncertain systems; limit stability; probability; random matrix theory; random parameters; system stability; uncertainty model; Computational complexity; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrices; Probability density function; Robust stability; Stability analysis; Sufficient conditions; USA Councils; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
Type :
conf
DOI :
10.1109/CDC.2006.376860
Filename :
4177960
Link To Document :
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