In a recent paper by N.K. Bose and J.F. Delansky (ibid., vol.36, no.3 p.454-8, 1989), S. Dasgupta's result (Proc. IEEE Conf. Decision and Control, p.2062-63, Los Angeles, CA, Dec. 1987) has been extended to study the robustness of positive complex (PC) rational and strictly positive complex (SPC) rational properties for a complex interval rational function. The results on robustness of the PC (SPC) property are considerably advanced. It is proven that the PC (SPC) property of the specific 32 extreme members of the set, which are a subset of the 64 extreme members, can guarantee the PC (SPC) property of the set. In addition, the proof presently conducted is simple due to the utilization of a set of well-formulated notations about robust complex interval strictly Hurwitz polynomials. The 32 versus the 64 extreme members in this case is, indeed, the counterpart of the 8 versus the 16 extreme polynomials in the analysis of boundary implications for complex interval strictly Hurwitz polynomials.
展开▼
机译：N.K.在最近的一篇论文中Bose和JF Delansky（同上，第36卷，第3页，第454-8页，1989年），S。Dasgupta的结果（Proc。IEEE Conf。Decision and Control，p.2062-63，洛杉矶，加利福尼亚州，12月） （1987年）已经扩展到研究正整数（PC）有理和严格正整数（SPC）有理性质对于复数区间有理函数的鲁棒性。 PC（SPC）属性的鲁棒性结果大大提高了。事实证明，集合中特定的32个极端成员的PC（SPC）属性是64个极端成员的子集，可以保证集合的PC（SPC）属性。另外，由于利用了一组关于鲁棒复数间隔严格为Hurwitz多项式的格式良好的符号，因此当前进行的证明很简单。在这种情况下，在对复杂区间严格为Hurwitz多项式的边界影响进行分析时，在这种情况下，32个极端成员与64个极端成员实际上是8个极端多项式与16个极端多项式的对应项。
展开▼
