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CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from C++, Python, Matlab/Octave, Julia or Javascript
The Control Toolbox - An Open-Source C++ Library for Robotics, Optimal and Model Predictive Control
Optimal Control for Switched Systems
Motion Generation for Robots and Machines. Real-time. Jerk-constrained. Time-optimal.
Crocoddyl is an optimal control library for robot control under contact sequence. Its solver is based on various efficient Differential Dynamic Programming (DDP)-like algorithms
High-performance interior-point-method QP and QCQP solvers
Nonconvex embedded optimization: code generation for fast real-time optimization + ROS support
Extensible Optimization Framework
An optimization framework that links CasADi, Ipopt, ACADOS and biorbd for Optimal Control Problem