From industrial robots to self-driving cars, engineers face a common problem: keeping machines steady and predictable. When systems move, they can spiral out of control unless designed with ...

As artificial intelligence (AI) takes on increasingly critical roles—from managing power grids to piloting autonomous ...

This paper surveys applications of the method of matrix Lyapunov functions in the investigation of stability, asymptotic stability and instability of systems modelling real phenomena in engineering ...

We prove two theorems concerning Lyapunov functions on metric spaces. The new element in these theorems is the lack of a hypothesis of compactness or local compactness. The first theorem applies to a ...