Pontryagin's Maximum Principle is a fundamental theorem in optimal control theory that provides necessary conditions for an optimal control problem. It establishes a framework for determining the control strategies that minimize or maximize a given performance index while adhering to dynamic constraints. This principle connects the dynamics of a system with the behavior of the control inputs, forming a bridge between calculus of variations and differential equations.
congrats on reading the definition of Pontryagin's Maximum Principle. now let's actually learn it.