标题：Conditions for Essential Instability and Essential Destabilization of Linear Stochastic Systems
作者：Hou, Ting; Zhang, Weihai; Ma, Hongji
作者机构：[Hou, Ting; Zhang, Weihai] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao, Shandong, Peoples R China.; [Ma, Hongji] Shandong Univ 更多
会议名称：8th World Congress on Intelligent Control and Automation (WCICA)
会议日期：JUL 06-09, 2010
来源：2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA)
关键词：Spectra; unremovable spectra; essential instability; essential; destabilization; generalized Lyapunov equations
摘要：Serving as a great supplement for stochastic stability and stabilization, new notions called essential instability and essential destabilization are introduced. In this way, according to the spectral distribution of an uncontrolled linear time-invariant stochastic system in the complex plane, we distinguish three kinds of stabilities: asymptotical mean square stability, critical stability and essential instability. While dealing with the criteria for essential instability, two methods are involved: the Lyapunov equation approach and the spectral analysis technique, which are the most common ways to characterize system stability.