Abstract
Let P be a convex set of real polynomials. Consideration is given to the question of when there exists a real polynomial b(s), or, more generally, a real transfer function b(s), such that p(s)/b(s) is strictly positive real for all p(s) ε P. Necessary and sufficient conditions are found for the transfer function case, and when the degree of the polynomials in P is restricted, such conditions are also found for the polynomial b(s) case. Closely related results are also obtained for a z-transform version of the problem. The results have application in adaptive systems.
Original language | English |
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Pages (from-to) | 426-430 |
Number of pages | 5 |
Journal | Proceedings of the IEEE Conference on Decision and Control |
Volume | 1 |
Publication status | Published - 1989 |
Event | Proceedings of the 28th IEEE Conference on Decision and Control. Part 1 (of 3) - Tampa, FL, USA Duration: 13 Dec 1989 → 15 Dec 1989 |