Estimation of topological entropy via the direct Lyapunov method

DOI10.1088/0951-7715/24/7/002zbMath1219.37012OpenAlexW2072902748WikidataQ58883687 ScholiaQ58883687MaRDI QIDQ3021227

Alexander Yu. Pogromsky, Alexey S. Matveev

Publication date: 22 July 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/24/7/002

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Topological entropy (37B40) Control/observation systems governed by ordinary differential equations (93C15) Topological dynamics of nonautonomous systems (37B55)

Related Items (20)

Observation of nonlinear systems via finite capacity channels: constructive data rate limits ⋮ Numerical approximation of the data-rate limit for state estimation under communication constraints ⋮ Estimations of topological entropy for non-autonomous discrete systems ⋮ Communication Constraints in Control and Observation of Distributed Systems ⋮ Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents ⋮ Remote state estimation problem: towards the data-rate limit along the avenue of the second Lyapunov method ⋮ A non-quadratic criterion for stability of forced oscillations ⋮ Topological entropy of composition and impulsive differential equations satisfying a uniqueness condition ⋮ Topological entropy of nonautonomous dynamical systems on uniform spaces ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Stability analysis of PE systems via Steklov's averaging technique ⋮ Metric entropy of nonautonomous dynamical systems ⋮ Observation of nonlinear systems via finite capacity channels. II: Restoration entropy and its estimates ⋮ Metric entropy of nonautonomous dynamical systems ⋮ The Lyapunov dimension and its estimation via the Leonov method ⋮ Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system ⋮ Corrigendum to: ``Numerical approximation of the data-rate limit for state estimation under communication constraints ⋮ Consensus in networks of dynamical systems with limited communication capacity ⋮ A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem ⋮ Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori

This page was built for publication: Estimation of topological entropy via the direct Lyapunov method