Optimization Methods on Riemannian Manifolds via Extremum Seeking Algorithms
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Publication:4961441
DOI10.1137/15M1018022zbMath1402.49040arXiv1412.2841OpenAlexW2963732356WikidataQ115246973 ScholiaQ115246973MaRDI QIDQ4961441
Farzin Taringoo, Ying Tan, Peter M. Dower, Dragan Nešić
Publication date: 29 October 2018
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.2841
Derivative-free methods and methods using generalized derivatives (90C56) Numerical optimization and variational techniques (65K10) Variational problems in a geometric measure-theoretic setting (49Q20)
Cites Work
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- Extremum seeking on submanifolds in the Euclidian space
- Lie bracket approximation of extremum seeking systems
- Newton's algorithm in Euclidean Jordan algebras, with applications to robotics
- On non-local stability properties of extremum seeking control
- Globally convergent optimization algorithms on Riemannian manifolds: Uniform framework for unconstrained and constrained optimization
- Minimizing a differentiable function over a differential manifold
- Manifolds, tensor analysis, and applications.
- Adaptive extremum seeking control of nonlinear dynamic systems with parametric uncertainties.
- Global optimization with non-convex constraints. Sequential and parallel algorithms
- Adaptive extremum seeking control of continuous stirred tank bioreactors with unknown growth kinetics
- Control theory from the geometric viewpoint.
- Stability of extremum seeking feedback for general nonlinear dynamic systems
- Multidimensional global extremum seeking via the DIRECT optimisation algorithm
- Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
- An implicit trust-region method on Riemannian manifolds
- The Geometry of Algorithms with Orthogonality Constraints
- Analysis and design of oscillatory control systems
- Nash Equilibrium Seeking in Noncooperative Games
- A Framework for Extremum Seeking Control of Systems With Parameter Uncertainties
- Optimization algorithms exploiting unitary constraints
- Bi-invariant Means on Lie Groups with Cartan-Schouten Connections
- A Sequential Method Seeking the Global Maximum of a Function
- The Gradient Projection Method Along Geodesics
- Averaging methods in nonlinear dynamical systems
- Riemannian geometry.
- Lie groups beyond an introduction
