A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem
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Publication:5860639
DOI10.1137/21M1406453zbMath1478.93074arXiv2103.11131OpenAlexW3207806324MaRDI QIDQ5860639
Christoph Kawan, Peter Giesl, Sigurður Freyr Hafstein
Publication date: 22 November 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.11131
Lyapunov exponentssubgradient algorithmremote state estimationadapted metricsoptimization on manifoldsrestoration entropy
Observability (93B07) Control/observation systems governed by ordinary differential equations (93C15) Networked control (93B70) Observers (93B53)
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Cites Work
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- Observation of nonlinear systems via finite capacity channels: constructive data rate limits
- Converse theorems on contraction metrics for an equilibrium
- A two-dimensional mapping with a strange attractor
- Subgradient algorithm on Riemannian manifolds
- On contraction analysis for non-linear systems
- The mathematics of eigenvalue optimization
- Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems
- Observation of nonlinear systems via finite capacity channels. II: Restoration entropy and its estimates
- Stochastic networked control systems. Stabilization and optimization under information constraints
- Converse theorem on a global contraction metric for a periodic orbit
- Estimation and control over communication networks
- Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
- Nonsmooth analysis of singular values. I: Theory
- Numerical approximation of the data-rate limit for state estimation under communication constraints
- Analysis and synthesis of networked control systems: topological entropy, observability, robustness and optimal control
- Remote state estimation problem: towards the data-rate limit along the avenue of the second Lyapunov method
- A Differential Lyapunov Framework for Contraction Analysis
- Estimation of topological entropy via the direct Lyapunov method
- On the topology of the Henon map
- Systems with finite communication bandwidth constraints. I. State estimation problems
- On estimates of the Hausdorff dimension of invariant compact sets
- Entropy and Minimal Bit Rates for State Estimation and Model Detection
- Iteration-complexity of the subgradient method on Riemannian manifolds with lower bounded curvature
- On Optimal Coding of Non-Linear Dynamical Systems
- ERGODIC OPTIMIZATION OF BIRKHOFF AVERAGES AND LYAPUNOV EXPONENTS
- Metric and Topological Entropy Bounds for Optimal Coding of Stochastic Dynamical Systems
- Comprehending Complexity: Data-Rate Constraints in Large-Scale Networks
- A geometric path from zero Lyapunov exponents to rotation cocycles
- Control Under Communication Constraints
- Control Over Noisy Channels
- Mather sets for sequences of matrices and applications to the study of joint spectral radii
- Riemannian geometry.
- Rigorous computation of topological entropy with respect to a finite partition
