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Your search keyword '"Gorbachev, Sergey"' showing total 2 results
Start Over Author "Gorbachev, Sergey" Topic fractional-order
2 results on '"Gorbachev, Sergey"'

1. Boundary consensus control strategies for fractional-order multi-agent systems with reaction-diffusion terms.

Author

Yan, Xu, Yang, Chengdong, Cao, Jinde, Korovin, Iakov, Gorbachev, Sergey, and Gorbacheva, Nadezhda

Subjects
*DISTRIBUTED artificial intelligence, *MULTIAGENT systems, *NEUMANN boundary conditions, *PETROLEUM pipelines, *SECURITIES trading
Abstract

Multi-agent systems (MASs), as an essential research topic of distributed artificial intelligence, mainly refer to the coordination behavior among the agents to achieve a global goal. The issue dealing with the security threats of the oil and gas industry has always attracted the attention of numerous researchers. Meanwhile, MASs play a significant role in the security and defense of oil pipelines. This paper mainly studies the spatial boundary control for consensus of fractional-order MASs with reaction–diffusion term. First of all, two kinds of consensus boundary control methods are studied in fractional-order MASs, both based on Neumann boundary conditions. Furthermore, by employing fractional-order inequalities, consensus criteria of the MASs are presented in terms of LMIs. Finally, two numerical examples in the multi-agent simulation environment indicate the effectiveness of the proposed theoretical results. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Exploration on bifurcation for an incommensurate five-neuron fractional-order BAM neural network involving multiple delays.

Author

Zhang, Yanxia, Li, Long, Huang, Junjian, Gorbachev, Sergey, and Aravind, R. Vijay

Subjects
*BIDIRECTIONAL associative memories (Computer science), *HOPF bifurcations, *STABILITY criterion
Abstract

Some qualitative analyses of bifurcations for an incommensurate fractional-order neural network with delays are considered. At first, we display an incommensurate five-neuron fractional-order bidirectional associative memory neural network (FOBAMNN) with four delays. Next, the existence and uniqueness of the solution are analyzed. Afterward, from the perspective of the two different cases of delays inducing bifurcations, some sufficient criteria of the stability and the occurrence of Hopf bifurcation are established. Some numerical simulations are designed to verify the feasibility and validity of the obtained theorems. In addition, the effects of the delays on the stability and bifurcation of the integer-order neural network and the fractional-order neural network are discussed and some meaningful results are presented in the end. • A type of incommensurate fractional-order neural network with multiple delays is developed. • The existence and uniqueness of the solution are analyzed. • The stability criterion and the onset of Hopf bifurcation are investigated. • Numerical simulations are presented to illustrate the derived key conclusions. [ABSTRACT FROM AUTHOR]

Published
2024
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