The Discrete-Time Geometric Maximum Principle
From MaRDI portal
Publication:5232250
DOI10.1137/16M1101489zbMath1420.49028arXiv1707.03873OpenAlexW2969592473MaRDI QIDQ5232250
Publication date: 30 August 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.03873
optimizationmaximum principlesmooth manifoldsconstraintsexact penalizationdiscrete-time optimal control
Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Optimality conditions for problems involving relations other than differential equations (49K21)
Related Items (2)
A simple proof of the discrete time geometric Pontryagin maximum principle on smooth manifolds ⋮ A geometric approach for the optimal control of difference inclusions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- MPC on manifolds with an application to the control of spacecraft attitude on SO(3)
- Applications of proximal calculus to fixed point theory on Riemannian manifolds
- Nonsmooth analysis
- Geometric approach to Pontryagin's maximum principle
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- High order Runge-Kutta methods on manifolds
- A discrete-time Pontryagin maximum principle on matrix Lie groups
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Discrete Lagrangian reduction, discrete Euler-Poincaré equations, and semidirect products
- On the variational principle
- Control theory from the geometric viewpoint.
- Pontryagin maximum principle for control systems on infinite dimensional manifolds
- Techniques of variational analysis
- Pontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales
- Calculus Without Derivatives
- Discrete Hamilton–Jacobi Theory
- Functional Analysis, Calculus of Variations and Optimal Control
- Discrete mechanics and variational integrators
- Nonsmooth analysis on smooth manifolds
- Optimization and nonsmooth analysis
- Variational Analysis
- The Approximate Maximum Principle in Constrained Optimal Control
- Discrete Euler-Poincaré and Lie-Poisson equations
- Foundations of Optimization
- Set-valued analysis
This page was built for publication: The Discrete-Time Geometric Maximum Principle