Mathematical Systems Theory

Mathematical Systems Theory studies how different parts of a system, like machines, biological processes, or social networks, interact and evolve over time using mathematical models. It focuses on understanding, predicting, and controlling these systems by analyzing patterns, relationships, and feedback within them. This theory provides tools to design and optimize systems for better performance, stability, and reliability across various fields, such as engineering, economics, and biology, by translating complex real-world behaviors into precise mathematical language.