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A Nyquist-type stability test for multivariable distributed systems

机译:多变量分布式系统的Nyquist型稳定性测试

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摘要

A multivariable Nyquist criterion is given that applies to a wide class of open-loop transfer matrices, including some that are improper or have infinitely many poles in the right-half plane. Application of the test to specific examples requires only elementary knowledge of complex variable theory. The actual test requires operations similar to those used in the standard Nyquist test. The simplicity of the frequency-domain description of the class T (analyticity and polynomial boundedness) makes it relatively easy to verify if the test is applicable to a given transfer matrix.
机译:给出了适用于各种开环传递矩阵的多变量Nyquist准则,包括在右半平面中不适当或具有无限多极点的一些矩阵。将测试应用于特定示例仅需要复杂变量理论的基础知识。实际测试所需的操作与标准奈奎斯特测试中使用的操作类似。 T类的频域描述(解析度和多项式有界度)的简单性使得验证该测试是否适用于给定的传递矩阵相对容易。

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