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Circuits, Systems, and Signal Processing

Practical Exponential Stability of Positive Switched Linear System and Its Application in Practical Consensus of Multi-agent System

  • 23-08-2024
Published in:
Authors
Yanhao Ju
Fanwei Meng
Yuangong Sun
Published in
Circuits, Systems, and Signal Processing | Issue 12/2024

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Abstract

The article delves into the practical exponential stability (PES) of positive switched linear systems (PSLS) with all subsystems being unstable. It introduces two distinct methods—switched linear time-varying copositive Lyapunov function and switched discretized maximum Lyapunov function—to establish PES criteria. These criteria are applied to the practical consensus of multi-agent systems under switching topologies, offering a novel approach to handling impulses and disturbances. The research is validated through numerical examples, demonstrating the effectiveness of the proposed methods. This work contributes significantly to the field of control theory and dynamical systems, particularly in the context of multi-agent coordination and stability analysis under complex conditions.
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previous article A Novel Flat Broadband Passive Circuit with Negative Group Delay
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Title
Practical Exponential Stability of Positive Switched Linear System and Its Application in Practical Consensus of Multi-agent System
Authors
Yanhao Ju
Fanwei Meng
Yuangong Sun
Publication date
23-08-2024
Publisher
Springer US
Published in
Circuits, Systems, and Signal Processing / Issue 12/2024
Print ISSN: 0278-081X
Electronic ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02771-6
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