关于具有遍历参数的随机线性系统的几乎肯定稳定性的讨论

T. Most, H. Ishii, Xiaojun Geng
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引用次数: 4

摘要

这个判据理论上要求系统方程的积分直到无穷远。克服这种不可能的研究的一种可能的方法是在[1]中提出的在足够长的时间间隔内通过积分进行逼近。在讨论的文章中,作者提出了系统在有限时间区间内平均规范收缩的判据。这个准则判断一个被研究的系统是稳定的,如果
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Discussion on: Almost Sure Stability of Stochastic Linear Systems with Ergodic Parameters
This criterion theoretically requires the integration of the system equations until infinity. A possible way to overcome this impossible investigation is the approximation through an integration over a sufficiently long time interval as proposed in [1]. In the discussed paper the authors developed a criterion imposing that the system is averagely normcontractive over a finite time interval. This criterion judges an investigated system as stable if
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