期刊
ASIAN JOURNAL OF CONTROL
卷 13, 期 6, 页码 977-987出版社
WILEY-BLACKWELL
DOI: 10.1002/asjc.238
关键词
Spectrum technique; generalized LMI regions; D-R-stability; D(0, alpha; beta)-stability; second-order moment Lyapunov exponent
资金
- Natural Science Foundation of Shandong Province [ZR2009GZ001]
- National Natural Science Foundation of China [60874032]
With the aid of spectrum technique, a new concept called D(0,alpha)stabilizability (0 < alpha <= 1) is introduced, for which a necessary and sufficient condition is also proposed via a linear matrix inequality (LMI)-based approach. Especially, D( 0, alpha)-stabilizability is identical with asymptotic mean square stabilizability when alpha = 1. A more general regional stability called D-R-stability is discussed extensively and some concrete examples are given. As applications, the relationship among D( 0, alpha; beta)-stability, the decay rate of the system state response and the second-order moment Lyapunov exponent L-e(2) is revealed.
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