Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume -, Issue -, Pages -Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2022082
Keywords
Extended dissipative synchronization; linear matrix inequality; sampled-data control; stochastic complex dynamical networks; stochastic integral inequality
Categories
Funding
- Japan Society for the Promotion of Science (JSPS) [20K23328]
- National Natural Science Foundation of China [62173139, 62103103]
- Science and Technology Innovation Program of Hunan Province
- Hunan Provincial Science and Technology Project Foundation [2021RC4030]
- Natural Science Foundation of Jiangsu Province of China [2019RS1033]
- [BK20210223]
- Grants-in-Aid for Scientific Research [20K23328] Funding Source: KAKEN
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This paper investigates the extended dissipative synchronization problem for stochastic complex dynamical networks with variable coupling delay using sampled-data control. The main contribution of this work is the establishment of unified criteria for extended dissipative synchronization and the design of corresponding control gain matrices.
In this paper, extended dissipative (ED) synchronization is considered for stochastic complex dynamical networks (SCDNs) with variable coupling delay via sampled-data control (SDC). First, a suitable Lyapunov-Krasovskii functional (LKF) is constructed, then a new synchronization criterion is obtained through stochastic integral inequality (SII) and linear matrix inequality (LMI) techniques. Moreover, the ED synchronization criteria are established, which consolidates passivity, dissipativity, H-infinity, and L-2 - L-infinity. performances in a unified structure. SDC gain matrices are also designed for each performance in ED criteria. Finally, the feasibility and usefulness of the derived theoretical results are shown through numerical simulations.
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