Control theory provides a mathematical and conceptual framework for influencing the behaviour of dynamic systems so that they perform in a desired manner. In the linear domain, systems are described ...

Finite-time control refers to the design and analysis of feedback mechanisms that drive a dynamical system’s state to a desired condition within a predetermined, finite interval. This contrasts with ...

Many systems obey simple, linear rules: If you pull twice as hard on a spring, it stretches twice as far. However, when we introduce very large forces or complicated interactions, that linear rule ...

Imagine standing on top of a mountain. From this vantage point, we can see picturesque valleys and majestic ridges below, and streams wind their way downhill. If a drop of rain falls somewhere on this ...

Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...