Entropy of generating series for nonlinear input-output systems and their interconnections
From MaRDI portal
Publication:2093003
DOI10.3842/SIGMA.2022.082MaRDI QIDQ2093003
Publication date: 4 November 2022
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.10170
Combinatorics on words (68R15) Nonlinear systems in control theory (93C10) Measures of information, entropy (94A17) Connections of Hopf algebras with combinatorics (16T30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators
- The approximation to a fixed point
- Generating series for networks of Chen-Fliess series
- Bilinear system interconnections and generating series of weighted Petri nets
- Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
- Nonlinear control systems: An introduction
- Non-commutative graded algebras and their Hilbert series
- Transductions de séries formelles
- Fliess operators on \(L_{p}\) spaces: convergence and continuity
- Relative degree of interconnected SISO nonlinear control systems
- Ultrametric dynamics
- The entropy of graded algebras
- Topological entropy of formal languages
- Analysis and synthesis of networked control systems: topological entropy, observability, robustness and optimal control
- Word problems related to periodic solutions of a non-autonomous system
- The Hopf Algebra of Fliess Operators and Its Dual Pre-lie Algebra
- Fonctionnelles causales non linéaires et indéterminées non commutatives
- Word problems related to derivatives of the displacement map
- Sur divers produits de séries formelles
- Sur un Théorème de Shamir
- On the metric complexity of casual linear systems: ε -Entropy and ε -Dimension for continuous time
- Center Problem, Abel Equation and the Faà di Bruno Hopf Algebra for Output Feedback
- The algebraic entropy of classical mechanics
- A unified approach to generating series for mixed cascades of analytic nonlinear input–output systems
- On the Radius of Convergence of Interconnected Analytic Nonlinear Input-Output Systems
- An Introduction to Symbolic Dynamics and Coding
- Comprehending Complexity: Data-Rate Constraints in Large-Scale Networks
- SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra
- Network Entropy and Data Rates Required for Networked Control
- On the entropy of context-free languages
- The structure generating function and entropy of tuple languages
- Generating Series for Interconnected Analytic Nonlinear Systems
- A combinatorial Hopf algebra for nonlinear output feedback control systems
- Formal power series approach to nonlinear systems with additive static feedback