Abstract
Diagonal dominance plays a fundamental role in the design of multivariable feedback control systems by the method of dyadic expansion and the inverse Nyquist array by providing a systematic procedure for the structural simplification of the return-difference determinant. It is shown that, by the use of equivalence transformations and origin shift methods, sufficient conditions for closed loop stability using diagonal dominance methods can be obtained which remove many of the difficulties arising in previous formulations.
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