Communication Dans Un Congrès Année : 2023

Peak Estimation of Time Delay Systems using Occupation Measures

Résumé

This work proposes a method to compute the maximum value obtained by a state function along trajectories of a Delay Differential Equation (DDE). An example of this task is finding the maximum number of infected people in an epidemic model with a nonzero incubation period. The variables of this peak estimation problem include the stopping time and the original history (restricted to a class of admissible histories). The original nonconvex DDE peak estimation problem is approximated by an infinite-dimensional Linear Program (LP) in occupation measures, inspired by existing measure-based methods in peak estimation and optimal control. This LP is approximated from above by a sequence of Semidefinite Programs (SDPs) through the moment-Sum of Squares (SOS) hierarchy. Effectiveness of this scheme in providing peak estimates for DDEs is demonstrated with provided examples

Dates et versions

hal-04047493 , version 1 (27-03-2023)

Identifiants

Citer

Jared Miller, Milan Korda, Victor Magron, Mario Sznaier. Peak Estimation of Time Delay Systems using Occupation Measures. 2023 62nd IEEE Conference on Decision and Control (CDC), Dec 2023, Singapore, Singapore. pp.5294-5300, ⟨10.1109/CDC49753.2023.10384165⟩. ⟨hal-04047493⟩
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