2 papers
math.DS2026
Contraction theory: Hausdorff--Riemann Measures as Set-Based Lyapunov Functions
A. Matveev, A. Pogromsky
We offer a measure-theoretic extension of the concept and theory of -contraction, including their generalization on fractional dimensions . The respective contraction propert…
math.OC2020
Remote state estimation problem: towards the data-rate limit along the avenue of the second Lyapunov method
C. Kawan, A. Matveev, A. Pogromsky
In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which the state of a system can be estimat…