Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 9, Issue 16, Pages 2340-2347Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2014.1265
Keywords
stochastic systems; Markov processes; directed graphs; network theory (graphs); interconnected systems; control system synthesis; multidimensional systems; matrix algebra; Lyapunov methods; convergence of numerical methods; stochastic finite-time consensualisation; Markov jump networks; finite-time consensus control; directed networks; stochastic Markov jump topologies; external disturbances; control protocol design; interconnected networks; disagreement dynamics; infinite settling time; Laplacian matrix; Jordan matrix; sufficient conditions; Lyapunov function; fixed-time interval; finite-time convergence; stochastic consensus problem
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Funding
- National Natural Science Foundation of China [61473137]
- 111 Project [B12018]
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This study is devoted to the finite-time consensus control for directed networks with stochastic Markov jump topologies and external disturbances. The purpose of the study is to design a control protocol to ensure that the disagreement dynamics of interconnected networks stay in a given bound over a finite-time interval rather than asymptotically converge to zero in infinite settling time. Through utilisation of certain features of Laplacian matrix in real Jordan form, sufficient conditions for the existence of finite-time consensus protocol is derived by allowing Lyapunov function to increase in a fixed-time interval. Finite-time convergence result for stochastic consensus problem is validated via a simulation study.
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