Speaker
Description
Control theory is a field of engineering and mathematics that deals with the analysis and design of systems with the ability to control or regulate their behavior. It provides a framework for understanding how to manipulate the inputs to a system in order to achieve desired outputs or responses.
The primary goal of control theory is to develop mathematical models and techniques that enable the design of control systems to achieve specific objectives. These control systems can be found in a wide range of applications, including aerospace, robotics, manufacturing, power systems, automotive, and many others.
At its core, control theory involves studying the dynamics of a system, which refers to how the system responds to various inputs over time. A system can be described using mathematical models such as differential equations, transfer functions, or state-space representations. These models capture the relationship between the system's inputs, outputs, and internal states.
Control theory encompasses several fundamental concepts and techniques. Here are a few key elements: Feedback, Controllers, Stability and Performance, Control Design Methods, System Identification.
In this talk, we give a simple introduction on control theory and more precisely on the stability of physical system governing by the PDE.