Optimization methods

Development of nonlinear optimization algorithms.

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Overview

We design and analyze algorithms for nonlinear and/or decomposed optimization for control and verification of complex cyber-physical systems. In particular, we focus on nonlinear sum-of-squares problems and bilevel optimization schemes.

Sequential sum-of-squares programming outperforms previous, iterative methods in computation time and cost. ©2022 by Cunis & Legat.

Publikationen aus dem Bereich Optimization methods

  1. T. Cunis, „Decomposed quasiconvex optimization with application to generalized cone problems“, Optimization Letters, 2024, doi: 10.1007/s11590-024-02174-1.
  2. T. Cunis und B. Legat, „Sequential sum-of-squares programming for analysis of nonlinear systems“, in 2023 American Control Conference, in 2023 American Control Conference. San Diego, CA, 2023. doi: 10.23919/ACC55779.2023.10156153.
  3. T. Cunis und I. Kolmanovsky, „Input-to-State Stability of a Bilevel Proximal Gradient Descent Algorithm“, IFAC-PapersOnLine, Bd. 56, Nr. 2, Art. Nr. 2, 2023, doi: 10.1016/j.ifacol.2023.10.633.
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