Ergodicity Conditions for Controlled Stochastic Nonlinear Systems under Information Constraints: A Volume Growth Approach
From MaRDI portal
Publication:4965183
DOI10.1137/20M1315920zbMath1472.93193arXiv1912.06351OpenAlexW3127850068MaRDI QIDQ4965183
Serdar Yüksel, Nicolás A. García, Christoph Kawan
Publication date: 26 February 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.06351
ergodicitystochastic stabilizationinvariance entropycontrol under communication constraintsasymptotic mean stationarity
Nonlinear systems in control theory (93C10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Stochastic stability in control theory (93E15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stabilization of nonlinear systems over packet-drop links: scalar case
- A note on topological feedback entropy and invariance entropy
- Topological \(r\)-entropy and measure-theoretic \(r\)-entropy of a continuous map
- Markov chains and stochastic stability
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- Asymptotically mean stationary measures
- Stochastic networked control systems. Stabilization and optimization under information constraints
- Control and estimation under information constraints: toward a unified theory of control, computation and communications
- Estimation and control over communication networks
- Invariance entropy for deterministic control systems. An introduction
- Nonlinear extension of bode's integral based on an information-theoretic interpretation
- Stabilizability by state feedback implies stabilizability by encoded state feedback
- Stationary and Ergodic Properties of Stochastic NonLinear Systems Controlled over Communication Channels
- Characterization of Information Channels for Asymptotic Mean Stationarity and Stochastic Stability of Nonstationary/Unstable Linear Systems
- Probability, Random Processes, and Ergodic Properties
- Invariance Entropy for Control Systems
- Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback
- Metric invariance entropy and conditionally invariant measures
- Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates
- Markov Chains, Entropy, and Fundamental Limitations in Nonlinear Stabilization
- Feedback Control in the Presence of Noisy Channels: “Bode-Like” Fundamental Limitations of Performance
- Bode-Like Fundamental Performance Limitations in Control of Nonlinear Systems
- Metric and Topological Entropy Bounds for Optimal Coding of Stochastic Dynamical Systems
- Control Under Communication Constraints
- Topological Feedback Entropy and Nonlinear Stabilization
- Stabilization of nonlinear systems with limited information feedback
- Stochastic Stabilization of Noisy Linear Systems With Fixed-Rate Limited Feedback
- Random-Time, State-Dependent Stochastic Drift for Markov Chains and Application to Stochastic Stabilization Over Erasure Channels
- Limitations for Nonlinear Observation Over Erasure Channel
- Elements of Information Theory for Networked Control Systems
- Optimal Transport
