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动态系统的遗忘性是描述系统行为主要取决于其近期输入的概念,与系统的稳定性、鲁棒性等密切相关。对于非线性状态空间模型,遗忘性在很弱的条件下与整体一致非常吸引等价。系统在凸集或不变区集上的遗忘性可由一类特殊Lyapunov函数的存在性保证。遗忘区域的大小可利用矩阵不等式来估计。
The forgetfulness of dynamic system is the description of system behavior mainly depends on the concept of its recent input, and is closely related to the stability and robustness of the system. For non-linear state-space models, amnesia is very attractive to the general consensus under very weak conditions. The amnesia of the system on convex sets or invariant sets can be guaranteed by the existence of a special type of Lyapunov functions. The size of the forgotten area can be estimated using matrix inequality.