An Invariant Set Approach for Optimization on Integrable Manifolds

2019/05/05 by Siddharth H. Nair, Nair, Siddharth H.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Electrical engineering #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Numerical methods for differential equations #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1905.01626

openalex publication_date 2019/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recent results in control systems and numerical integration literature utilize invariant set theory to lift dynamical systems evolving on nonlinear manifolds to those evolving on vector spaces. We leverage this technique to propose an algorithm to solve a class of constrained optimization problems as unconstrained problems.

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