Mixed <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi mathvariant="normal">ℋ</mi> </math>-Infinity and Passive Synchronization of Markovian Jumping Neutral-Type Complex Dynamical Networks with Randomly Occurring Distributed Coupling Time-Varying Delays and Actuator Faults

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