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Distributed preassigned-time stabilization control of spatiotemporal community networks with discontinuous interactions
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DOI：10.1016/j.cnsns.2026.110503.png)
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Abstract
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• A new class of discontinuous reaction-diffusion spatiotemporal networks with abrupt cooperative-competitive interactions is formulated. • A Lyapunov criterion via set-valued analysis ensures preassigned-time convergence of all Filippov solutions. • Both interior and boundary distributed controllers are designed using only local state information. • A minimalistic pure power-law control law guarantees rigorous preassigned-time stabilization. • Numerical simulations on a relay-coupled reaction-diffusion network validate the theoretical results.
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