Data-driven control is an emerging field that focuses on designing control systems using data collected from the systems themselves, rather than relying solely on mathematical models. This approach is ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 113, No. 15 (April 12, 2016), pp. 3932-3937 (6 pages) Extracting governing equations from data is a central ...

Abstract: This article proposes linear quadratic controllers for unknown nonlinear systems with noise. Scenarios with unknown underlying nonlinear dynamics but measurable system states are considered.

Abstract: Negative imaginary (NI) systems theory constitutes a well-established theoretical framework for analyzing and designing linear-time-invariant (LTI) control systems. This paper extends NI ...

The Hermitian and skew-Hermitian splitting (HSS) method is an unconditionally convergent iteration method for solving large sparse non-Hermitian positive definite system of linear equations. By making ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...

What is the difference between nonlinear mechanics and the chaos theory? originally appeared on Quora: the place to gain and share knowledge, empowering people to learn from others and better ...