Method of evolving junctions: a new approach to optimal control with constraints

DOI10.1016/j.automatica.2016.12.023zbMath1357.93104OpenAlexW2581201878MaRDI QIDQ518291

Wuchen Li, Shui-Nee Chow, Jun Lu, Hao-Min Zhou

Publication date: 28 March 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.12.023

zbMATH Keywords

junctionsoptimal controlstochastic differential equationsconstraints

Mathematics Subject Classification ID

Stochastic programming (90C15) Nonlinear systems in control theory (93C10) Optimal stochastic control (93E20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Collective motion planning for a group of robots using intermittent diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Newton-like algorithm for the shortest path based on the method of evolving junctions
• The control parameterization method for nonlinear optimal control: a survey
• Lossless convexification of non-convex optimal control problems for state constrained linear systems
• Lossless convexification of a class of optimal control problems with non-convex control constraints
• Nearly time optimal stabilizing patchy feedbacks
• Optimal control problems with a continuous inequality constraint on the state and the control
• Planning a time-minimal motion among moving obstacles
• Control parameterization for optimal control problems with continuous inequality constraints: New convergence results
• Optimal control with state constraints and the space shuttle re-entry problem
• Stability and sensitivity of solutions to nonlinear optimal control problems
• The shortest path AMID 3-D polyhedral obstacles
• Finding the shortest path by evolving junctions on obstacle boundaries (E-JOB): an initial value ODE's approach
• Fast numerical methods based on SDEs for several problems related to the shortest path
• Optimal control problems with multiple characteristic time points in the objective and constraints
• Optimal control problems on stratified domains
• Dynamic Programming and the Smoothing Problem
• Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods
• Planning the Shortest Safe Path Amidst Unpredictably Moving Obstacles
• Patchy Vector Fields and Asymptotic Stabilization
• A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
• A Combinatorial, Graph-Based Solution Method for a Class of Continuous-Time Optimal Control Problems
• Semi-infinite programming approach to continuously-constrained linear-quadratic optimal control problems

This page was built for publication: Method of evolving junctions: a new approach to optimal control with constraints