Maximum Principle
The maximum principle (MP) is an approach for solving constrained maximization systems. Also sometimes referred to as Pontryagin's maximum principle.
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Description
I don't really get it but it's essentially an evolution of the Lagrangian method for dynamic systems. The Lagrange multiplier changes from being a constant (i.e. the vector λ) to being time-dependent (i.e. the function λ(t)). The Lagrangian function incorporating these time-dependent states evolves into a Hamiltonian function.