SOME DISCUSSIONS ON KHARITONOV''S THEOREM
Kharitonov 定理的若干讨论

This paper presents some proofs of Kharitonov's theorem and its generalized version,andmakes some comparisons among them.By resorting to the concept of positive pair of polyno-mials,we give a quite simple proof of Kharitonov's theorem.We naturally verify the general-ized Kharitonov's theorem by introducing the so-called Kharitonov's combination.A Nyquist-typeproof of the generalized version is also given,which is the simplest proof appeared in litera-ture so far.The proofs of the generalized version can easily be reduced to the proofs of theoriginal theorem.These proofs provide some insights into the intrinsic characteristics ofKharitonov's theorem.