Learning stability guarantees for constrained switching linear systems from noisy observations

DOI10.1016/j.nahs.2023.101425arXiv2302.05249MaRDI QIDQ6122789

Raphaël M. Jungers, Adrien Banse, Zheming Wang

Publication date: 1 March 2024

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.05249

zbMATH Keywords

graph theoryswitched systemschance-constrained optimizationdata-driven stability analysis

Mathematics Subject Classification ID

Applications of graph theory (05C90) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of discrete-time switching systems with constrained switching sequences
• A sampling-and-discarding approach to chance-constrained optimization: feasibility and Optimality
• Switching in systems and control
• Estimating the probability of success of a simple algorithm for switched linear regression
• A statistical learning perspective on switched linear system identification
• Data driven stability analysis of black-box switched linear systems
• Approximation of the joint spectral radius using sum of squares
• Deterministic error bounds for kernel-based learning techniques under bounded noise
• Performance Bounds for the Scenario Approach and an Extension to a Class of Non-Convex Programs
• Random Convex Programs
• Verification and Control of Hybrid Systems
• Observability and Controllability Analysis of Linear Systems Subject to Data Losses
• Basic problems in stability and design of switched systems
• Introduction to the Scenario Approach
• An Introduction to Symbolic Dynamics and Coding
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• Bounded Error Identification of Systems With Time-Varying Parameters
• Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach
• Joint Spectral Radius and Path-Complete Graph Lyapunov Functions
• A survey of computational complexity results in systems and control

This page was built for publication: Learning stability guarantees for constrained switching linear systems from noisy observations