Abstract
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. >
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