Exponential H∞ synchronization of non-fragile sampled-data controlled complex dynamical networks with random coupling and time varying delay

• Main Authors: Fehrs Adu-Gyamfi, Yuhua Cheng, Chun Yin, Shouming Zhong
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2018-01-01
• Series: Systems Science & Control Engineering
• Subjects: Absolute stability; analysis; complex systems; systems; H-infinity control; control
• Online Access: http://dx.doi.org/10.1080/21642583.2018.1509396

This paper investigates the problem of non-fragile sampled-data control for synchronization of complex dynamical networks with randomly coupling and time varying delay under exponential $ H_\infty $ approach. By adopting an appropriate Lyapunov Krasovskii functional (LKF) and taking into consideration full information on the sampling pattern, free-matrix based integral and Wirtinger inequalities are explored leading to the establishment of sufficient conditions to guarantee the exponential $ H_\infty $ synchronization stability and disturbance attenuation of the closed loop network, with a designed non-fragile controller under all randomly admissible gain variations. The results are presented in terms of Linear matrix inequalities (LMIs), which can effectively be solved by some available softwares. Finally, two simulated results are demonstrated to show the effectiveness and less conservativeness of our proposed scheme.