The Optimal Projection Equations with Petersen-Hollot Bounds: Robust Stability and Performance Via Fixed- Order Dynamic Compensation for Systems with Structured Real-valued Parameter Uncertainty
نویسندگان
چکیده
In this paper, the finite algorithm for strict Hurwitz invariance of a convex combination of polynomials (due to Bialas [5] and Fu and Barmish [6]) is extended to a strict Schur invariance test and to generalized stability tests. These tests have a main advantage over the “Edge Theorem” in [4], i.e., they are computationally efficient and exact. However, the Edge Theorem is more versatile since it applies to arbitrary regions of the complex plane. In contrast, the results presented here are restricted to images of the open complex left-half plane under real linear fractional transformations.
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