Abstract
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.
Highlights
Complex dynamical network (CDN) models are firstly investigated by Watts and Strogatz [1]. ese models are sets of large-scale coupled nodes of interconnected systems, e.g., chemical substrates, microprocessors, and computers [2, 3]
Synchronization of CDNs with a weighted timevarying adjacency matrix was explored by means of distributed adaptive control in [14]. e coupled network models are regularly utilized as scientific instruments to demonstrate in break down systems
Motivated by the above discussion, we study mixed H-infinity and passivity-based synchronization of Markovian jumping neutral-type complex dynamical network (MJNTCDN) models with time-varying distributed coupling delays and actuator faults in this paper that are as follows: (1) We analyze the mixed H-infinity and passivity synchronization of MJNTCDN models with distributed random coupling time-varying delays and actuator faults
Summary
Complex dynamical network (CDN) models are firstly investigated by Watts and Strogatz [1]. ese models are sets of large-scale coupled nodes of interconnected systems, e.g., chemical substrates, microprocessors, and computers [2, 3]. When CDN models get unexpected changes in their structure, we can represent them using Markovian jumping complex networks, which have been studied by many researchers [22,23]. Motivated by the above discussion, we study mixed H-infinity and passivity-based synchronization of Markovian jumping neutral-type complex dynamical network (MJNTCDN) models with time-varying distributed coupling delays and actuator faults in this paper that are as follows:. (1) We analyze the mixed H-infinity and passivity synchronization of MJNTCDN models with distributed random coupling time-varying delays and actuator faults (2) e randomly occurring coupling delays satisfy the Bernoulli random binary procedure (3) Delay-dependent conditions are derived to guarantee the MJNTCDN models is mixed H-infinity and passive performance at level c (4) Improved Jensen’s inequalities and integral inequalities are utilized to infer the sufficient conditions in terms of LMIs (5) Numerical results are provided to exhibit the effectiveness of the proposed method. Θpq ≥ 0 is the change rate from mode p at time t to mode q at time t + h if p ≠ q and θpp − Nq 1,q ≠ p θij
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