A Lyapunov-Based Small-Gain Theory for Infinite Networks via Infinite-Dimensional Gain Operators
Author:
Affiliation:
1. Institute of Informatics, LMU Munich, 80538 München, Germany.
2. Computer Science Department, University of Colorado Boulder, Boulder, CO 80309 USA; Institute of Informatics, LMU Munich, 80538 München, Germany.
Funder
Deutsche Forschungsgemeinschaft
H2020 European Research Council
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Applied Mathematics,Control and Optimization
Reference20 articles.
1. Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback
2. Stability of infinitely many interconnected systems
3. Stability conditions for infinite networks of nonlinear systems and their application for stabilization
4. An ISS small gain theorem for general networks
5. Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
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1. Small Gain Conditions for Stability of Infinite Networks of Time-Delay Systems and Applications;2024 European Control Conference (ECC);2024-06-25
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