lyapunov stability in optimal control

Lyapunov stability in optimal control refers to the ability of an optimal control system to maintain its desired state or trajectory over time. It involves analyzing the stability of the system using Lyapunov functions, which measure the energy or potential of a given state. If a Lyapunov function exists and its derivative is negative definite, then the system is considered Lyapunov stable, indicating that it will stay close to the desired state or trajectory.

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