Decaying Sensitivity of the Zero Solution for a Class of Nonlinear Optimal Control Problems
Year: 2026
Type: article
Abstract: We study spatial decay properties of sensitivities in a nonlinear optimal control problem with a graph-structured interaction topology. For a problem with nonlinear decoupled dynamics and quadratic cost, we show that a perturbation of the zero initial condition at a single node induces an optimal trajectory whose node-wise norms decay exponentially with the graph distance from the perturbed node. The analysis, based on a nonlinear null-controllability condition, provides a first step toward extending known spatial decay results from linear–quadratic to nonlinear systems. A numerical example illustrates the theoretical findings.
Source: IFAC-PapersOnLine
Authors: Lars Grüne, Mario Sperl
Institution: University of Bayreuth
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7127913842
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