Optimal Control: Convergence and Conditions

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Page 1 of 4

Constraints and Lagrange

Introduces constraints, Lagrange multipliers, and generalized coordinates in physics.

Constraints and Lagrange

Covers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.

Stationary Points and Lagrange Multiplier Theorem

Explores stationary points and the Lagrange multiplier theorem for function optimization.

Explicit RK Methods

Explains explicit Runge-Kutta methods up to order 4 and conditions for method's order.

Lagrange Multipliers Theorem

Explores the Lagrange Multipliers Theorem, covering extrema conditions and geometric interpretations.

Optimization: Lagrange Multipliers

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Optimization: Constrained Volume Problems

Explores constrained volume problems using Lagrange multipliers to find extrema under constraints in various examples.

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Principle of Least Action

Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.

Molecular Dynamics Simulations: Energy Conservation

Explores energy conservation in Hamiltonian systems, numerical integration, time step choices, and constraint algorithms in molecular dynamics simulations.