10 citations · 18 across the 6 of their papers we have counts for
6 papers
Open Maps Preserve Stability
James Schmidt
Stability is a fundamental notion in dynamical systems and control theory that, traditionally understood, describes asymptotic behavior of solutions around an equilibrium point. Th…
Latent Properties of Lifelong Learning Systems
Corban Rivera, Chace Ashcraft, Alexander New +2
Creating artificial intelligence (AI) systems capable of demonstrating lifelong learning is a fundamental challenge, and many approaches and metrics have been proposed to analyze a…
Morphisms of Networks of Hybrid Open Systems
James Schmidt
This thesis (defended 10/07/2019) develops a theory of networks of hybrid open systems and morphisms. It builds upon a framework of networks of continuous-time open systems as prod…
Runge-Kutta and Networks
Lee DeVille, Eugene Lerman, James Schmidt
We categorify the RK family of numerical integration methods (explicit and implicit). Namely we prove that if a pair of ODEs are related by an affine map then the corresponding dis…
Networks of hybrid open systems
Eugene Lerman, James Schmidt
We generalize the results of "Networks of open systems" by the first author to the setting of hybrid systems. In particular we introduce the notions of hybrid open systems, their n…
Topological Entropy Bounds for Switched Linear Systems with Lie Structure
James Schmidt
In this thesis, we provide an initial investigation into bounds for topological entropy of switched linear systems. Entropy measures, roughly, the information needed to describe th…