{"ID":2822939,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2601.01621","arxiv_id":"2601.01621","title":"A Three-Tier Time-Scale Architecture for Controlling Complex Nonlinear Systems","abstract":"This letter proposes a three-tier computational architecture for the real-time control of nonlinear complex systems, such as time-dependent PDEs. There is an important class of such problems for which existing single- and two-time-scale approaches are fundamentally insufficient due to lack of a priori system knowledge, computational complexity, model fidelity requirements, and uncertainty. The proposed architecture consists of an offline, meso-scale, and real-time layer of computation, with distinct roles for each layer and specific information flow between them. The result is a practical systems-level paradigm that enables real-time operation of complex nonlinear control problems.","short_abstract":"This letter proposes a three-tier computational architecture for the real-time control of nonlinear complex systems, such as time-dependent PDEs. There is an important class of such problems for which existing single- and two-time-scale approaches are fundamentally insufficient due to lack of a priori system knowledge,...","url_abs":"https://arxiv.org/abs/2601.01621","url_pdf":"https://arxiv.org/pdf/2601.01621v1","authors":"[\"Vyacheslav Kungurtsev\"]","published":"2026-01-04T18:00:39Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}