Optimal control of the generalized Kuramoto-Sivashinsky equation with energy- and entropy-based objectives.

Authors

Hiroya Mamori, Yusuke Nabae, Hiroshi Gotoda

Published in

Physical review. E. Volume 114. Issue 3-1. Pages 034204.

Abstract

We conduct numerical simulations of a noisy generalized Kuramoto-Sivashinsky system under optimal control. The cost functions are kinetic energy and permutation entropy, which are designed to reduce the kinetic energy and the permutation entropy, respectively. The results demonstrate that kinetic-energy-based control strongly suppresses the structures and drives the system into a trivial state. In contrast, the permutation-entropy-based control preserves nontrivial structures, although the reduction in kinetic energy is smaller and requires only slight actuation energy. These findings provide insight into designing control strategies for complex systems where both efficiency and functional richness are desired.

PMID:
42888759
Bibliographic data and abstract were imported from PubMed on 17 Oct 2026.

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