Consensus in Asynchronous Multiagent Systems. II. Method of Joint Spectral Radius
We describe mathematical methods for analyzing the stability, stabilizability and consensus of linear multiagent systems with discrete time. These methods are based on the idea of using the notion of joint/generalized spectral radius of matrix sets to analyze the rate of convergence of matrix produc...
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| Veröffentlicht in: | Automation and remote control 2019-05, Vol.80 (5), p.791-812 |
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| container_title | Automation and remote control |
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| creator | Kozyakin, V. S. Kuznetsov, N. A. Chebotarev, P. Yu |
| description | We describe mathematical methods for analyzing the stability, stabilizability and consensus of linear multiagent systems with discrete time. These methods are based on the idea of using the notion of joint/generalized spectral radius of matrix sets to analyze the rate of convergence of matrix products with factors from the sets of matrices with special properties. This is a continuation of the survey by the same authors named “Consensus in Asynchronous Multiagent Systems”; the first part was published in [1]. |
| doi_str_mv | 10.1134/S0005117919050011 |
| format | Article |
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| subjects | CAE) and Design Calculus of Variations and Optimal Control Optimization Computer-Aided Engineering (CAD Control Discrete time systems Linear systems Mathematical analysis Mathematics Mathematics and Statistics Matrix methods Mechanical Engineering Mechatronics Multiagent systems Reviews Robotics Stability analysis Systems Theory |
| title | Consensus in Asynchronous Multiagent Systems. II. Method of Joint Spectral Radius |
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