Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(9): 2969-2979

https://doi.org/10.1007/s12555-022-0356-5

© The International Journal of Control, Automation, and Systems

Graph Theory-based Approach for Partial Topology Identification of Stochastic Multi-group Models With Multiple Dispersal

Chunmei Zhang*, Dan Xia, Huiling Chen, and Guiling Chen

Southwest Jiaotong University

Abstract

This paper is mainly concerned with partial topology identification of stochastic multi-group models with multiple dispersals (SMGMMD) by adaptive pinning control. By using a graph-theoretic approach and adaptive synchronization techniques, some sufficient criteria for partial topology identification of SMGMMD with time delay are obtained. Meanwhile, the partial topological structures of SMGMMD without time delay and the whole topological structures of SMGMMD can also be identified successfully. Finally, coupled Lorenz systems with time delay are identified to demonstrate the feasibility and effectiveness of theoretical results.

Keywords Graph-theoretic approach, multi-group models, partial topology identification, synchronization.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2023; 21(9): 2969-2979

Published online September 1, 2023 https://doi.org/10.1007/s12555-022-0356-5

Copyright © The International Journal of Control, Automation, and Systems.

Graph Theory-based Approach for Partial Topology Identification of Stochastic Multi-group Models With Multiple Dispersal

Chunmei Zhang*, Dan Xia, Huiling Chen, and Guiling Chen

Southwest Jiaotong University

Abstract

This paper is mainly concerned with partial topology identification of stochastic multi-group models with multiple dispersals (SMGMMD) by adaptive pinning control. By using a graph-theoretic approach and adaptive synchronization techniques, some sufficient criteria for partial topology identification of SMGMMD with time delay are obtained. Meanwhile, the partial topological structures of SMGMMD without time delay and the whole topological structures of SMGMMD can also be identified successfully. Finally, coupled Lorenz systems with time delay are identified to demonstrate the feasibility and effectiveness of theoretical results.

Keywords: Graph-theoretic approach, multi-group models, partial topology identification, synchronization.

IJCAS
June 2024

Vol. 22, No. 6, pp. 1761~2054

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