基于ROUCHE定理的稳定性判据
ROUCHE THEOREM BASED STABlLITY CRITERION
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摘要: 应用Rouche定理于线性定常系统的稳定性分析，得到关于单输入单输出（SISO）系统不等式形式的稳定性判据，将此方法推广到多输入多输出（MIMO）系统，导出了判定多变量系统稳定性的一个充分条件．分析预示了Rouche定理在系统理论中的应用潜力．Abstract: This paper applies Rouche theorem to linear time-invariant system analysis and provides a stability criterion in inequality form for single-input single-output(SISO) systems.Meanwhile,this procedure is extended to multi-input multi-output(MIMO) systems and a sufficient condition of stability for multivariable systems is derived.All the discussion reveals that there is potentiality for Rouche theorem to be applied in system theory.
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