关于Liénard-Chipart准则和某些多项式族的根的注记
A note on the Liénard-Chipart criterion and roots of some families of polynomials
摘要:
我们提出了一些不等式,提供了不同的充分条件的一元首一多项式是Hurwitz不稳定的。这些都是出于困难的控制问题,直接应用的Liénard-Chipart标准是不可行的。讨论了某些五次多项式的Hurwitz稳定性。这些结果可以解释为某些区间多项式的稳定性结果。
英文摘要:
We present some inequalities that provide different sufficient conditions for an univariate monic polynomial to be Hurwitz unstable. These are motivated by difficult control problems where direct application of the Liénard-Chipart criterion is not feasible. Hurwitz stability of some polynomials of degree five is also discussed. These results may be interpreted as stability results for some interval polynomials.
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