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H#x221E; performance analysis for a class of time delayed singularly perturbed systems within finite frequency range

机译：有限频率范围内一类时滞奇摄动系统的H ∞性能分析

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This paper investigates the problem of H∞ performance for the time delayed singularly perturbed systems within finite frequencies (FF) range. Firstly, with certain conditions, the time-delayed singularly perturbed systems are divided into two subsystems, then via time partitioning technique and generalized KYP lemma, sufficient conditions which make the degraded subsystems (the slow subsystem and fast subsystem) satisfy H∞ performance could be derived in terms of solving an optimization problems. In this paper, it could be shown that the H∞ performance for the original systems could be deduced from its subsystems. An example is given to illustrate the methods using in this paper is efficient.
机译：本文研究了有限频率（FF）范围内时滞奇摄动系统的H∞性能问题。首先，在一定条件下，将时滞奇摄动系统分为两个子系统，然后通过时间分割技术和广义KYP引理，使退化子系统（慢子系统和快子系统）满足H∞性能的充分条件可以得到。在解决优化问题方面派生。在本文中，可以证明原始系统的H∞性能可以从其子系统中推导出来。给出了一个实例来说明本文所采用的方法是有效的。

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