Mixed ℋ‐Infinity and Passive Synchronization of Markovian Jumping Neutral‐Type Complex Dynamical Networks with Randomly Occurring Distributed Coupling Time‐Varying Delays and Actuator Faults | Zendy

N. Boonsatit | Zendy; R. Sugumar | Zendy; D. Ajay | Zendy; Grienggrai Rajchakit | Zendy; Chee Peng Lim | Zendy; P. Hammachukiattikul | Zendy; M. Usha | Zendy; Praveen Agarwal | Zendy

Open Access

Mixed ℋ‐Infinity and Passive Synchronization of Markovian Jumping Neutral‐Type Complex Dynamical Networks with Randomly Occurring Distributed Coupling Time‐Varying Delays and Actuator Faults

Author(s) -

N. Boonsatit,

R. Sugumar,

D. Ajay,

Grienggrai Rajchakit,

Chee Peng Lim,

P. Hammachukiattikul,

M. Usha,

Praveen Agarwal

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/5553884

Subject(s) - jumping , synchronization (alternating current) , control theory (sociology) , coupling (piping) , actuator , type (biology) , infinity , topology (electrical circuits) , computer science , physics , mathematics , mathematical analysis , control (management) , materials science , combinatorics , geology , artificial intelligence , paleontology , metallurgy

This article examines mixed ℋ -infinity and passivity synchronization of Markovian jumping neutral-type complex dynamical network (MJNTCDN) models with randomly occurring coupling delays and actuator faults. The randomly occurring coupling delays are considered to design the complex dynamical networks in practice. These delays complied with certain Bernoulli distributed white noise sequences. The relevant data including limits of actuator faults, bounds of the nonlinear terms, and external disturbances are available for designing the controller structure. Novel Lyapunov–Krasovskii functional (LKF) is constructed to verify the stability of the error model and performance level. Jensen’s inequality and a new integral inequality are applied to derive the outcomes. Sufficient conditions for the synchronization error system (SES) are given in terms of linear matrix inequalities (LMIs), which can be analyzed easily by utilizing general numerical programming. Numerical illustrations are given to exhibit the usefulness of the obtained results.

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