Abstract
AbstractWith the aid of spectrum technique, a new concept called “ 𝒟(0, α)‐stabilizability” (0<α≤1) is introduced, for which a necessary and sufficient condition is also proposed via a linear matrix inequality (LMI)‐based approach. Especially, 𝒟(0, α)‐stabilizability is identical with asymptotic mean square stabilizability when α=1. A more general regional stability called “ 𝒟R‐stability” is discussed extensively and some concrete examples are given. As applications, the relationship among 𝒟(0, α;β)‐stability, the decay rate of the system state response and the second‐order moment Lyapunov exponent is revealed.Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
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