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| WIDE SENSE STABILITY OF COMPLEX SYSTEMS OF DIFFERENTIAL EQUATIONS OF ARBITRARY DIMENSION |
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Citation： |
Ziad Zahreddine.WIDE SENSE STABILITY OF COMPLEX SYSTEMS OF DIFFERENTIAL EQUATIONS OF ARBITRARY DIMENSION[J].Chinese Annals of Mathematics B,1994,15(2):193~204 |
| Page view： 876
Net amount： 809 |
Authors： |
Ziad Zahreddine; |
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| Abstract： |
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. |
Keywords： |
Stability, Wide sence stability, Routh array, Extended Routh array. |
Classification： |
34D, 93D. |
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