Published December 6, 2022
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Loewner Functions for a Class of Nonlinear Differential-Algebraic Systems
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We consider the Loewner functions associated to four behaviourally equivalent differential-algebraic systems with the goal of simplifying the partial differential equation (PDE) defining the tangential generalized observability function. Although the systems may have different tangential generalized observability functions, it is shown that all four systems yield the exact same family of Loewner equivalent interpolants provided that solutions to the PDEs exist.
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2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. J. D. Simard and A. Astolfi, Loewner Functions for a Class of Nonlinear Differential-Algebraic Systems, in IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 2022, pp. 6542-6547, doi: 10.1109/CDC51059.2022.9992912.
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