It is shown how the extended Routh array (ERA), which naturally extends the Routh array to the complex case, can handle the appearance of vanishing leading array elements, and how after minor modifications it can be u...It is shown how the extended Routh array (ERA), which naturally extends the Routh array to the complex case, can handle the appearance of vanishing leading array elements, and how after minor modifications it can be used to test the stability in the wide sense of systems of differential equations with complex coefficients and of arbitrary dimension. The recent result advanced for the asymptotic or strict sense stability of such systems falls out as a special case.展开更多
文摘It is shown how the extended Routh array (ERA), which naturally extends the Routh array to the complex case, can handle the appearance of vanishing leading array elements, and how after minor modifications it can be used to test the stability in the wide sense of systems of differential equations with complex coefficients and of arbitrary dimension. The recent result advanced for the asymptotic or strict sense stability of such systems falls out as a special case.