Theoretical analysis demonstrates sufficient conditions for approximate controllability in heterogeneous networked systems, suggesting complex perturbed networks can achieve target states.
This paper investigates the approximate controllability of a class of heterogeneous nonlinear networked systems, where each node may be affected by nonlinear perturbations of the Hölder type. We relax the exact controllability requirements and focus on establishing sufficient conditions under which approximate controllability holds. Using the Schauder's fixed point theorem, we establish conditions ensuring the system can be steered arbitrarily close to any desired final state. Numerical examples illustrate the theoretical findings.
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Rathore et al. (2026) studied this question.
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