Optimal control is a mathematical optimization method for deriving control policies that result in the best possible outcome for a dynamic system over time. It involves determining control inputs that minimize or maximize a certain performance criterion while respecting system constraints and dynamics.

Optimal Control

Optimal control

mathematical optimization method

control policies

best possible outcome

A dynamic system is a system that evolves over time according to a set of defined rules, often represented by differential or difference equations. These systems are characterized by their ability to change state in response to inputs, initial conditions, or inherent system dynamics, making them crucial in fields such as engineering, physics, economics, and biology.

dynamic system

control inputs

Minimize performance criterion

Maximize performance criterion

System constraints are the limiting factors that determine the maximum performance and capacity of a system, influencing its efficiency and effectiveness. Understanding these constraints is crucial for optimizing system design and operation to achieve desired outcomes within resource limitations.

system constraints

System dynamics is a methodological framework for understanding the behavior of complex systems over time, using stocks, flows, internal feedback loops, and time delays. It enables the simulation and analysis of how interconnected components interact within a system, providing insights into potential long-term outcomes and policy impacts.

CUSTOMIZE YOUR LEARNING

CUSTOMIZE YOUR LEARNING

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