Description: Adaptive Dynamic Programming is an approach that combines the principles of dynamic programming with adaptive learning techniques, allowing systems to learn and improve their performance over time. This method is based on the idea of breaking down complex problems into simpler subproblems, solving each optimally, and storing their solutions to avoid redundant calculations. As the system interacts with its environment, it adjusts its strategies and makes decisions based on the feedback received, enabling it to adapt to changes in environmental conditions or user objectives. This adaptability is crucial in dynamic environments where conditions can change rapidly. Adaptive Dynamic Programming is used in a variety of applications, from optimization problems in logistics to the development of algorithms in artificial intelligence, where the ability to learn from past experiences is essential for improving the efficiency and effectiveness of proposed solutions.