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Yifang Yan,Yuechao Ma 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.5
In this paper, the problem of observer-based H¥ guaranteed cost control for uncertain singular timedelaysystems with actuator saturation is concerned. A delay-dependent sufficient condition is proposed, whichguarantees that the closed-loop system is admissible via Lyapunov theory and linear matrix inequality (LMI) approach. Then, with this condition, the estimation of stability region, the upper bound of cost function and the designmethod of observer-based H¥ guaranteed cost controller are given by solving linear matrix inequalities and convexoptimization problems. Finally, numerical examples are provided to demonstrate the effectiveness of the proposedmethod.
Effect of Externality in Multiplex Networks on One-layer Synchronization
Xin Jiang,Meng Li,Zhiming Zheng,Yifang Ma,Lili Ma 한국물리학회 2015 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.66 No.11
Synchronization phenomenon plays an important role in the dynamic process on complex networks. In this letter, we consider synchronization under multiplex structures and explore the effect of external parts on the multilayered Kuramoto model with positive correlation between frequencies and degree. We show that large and strong mixing parts of the external layer may put off synchronization while the coupling strength of external layers has an accelerating, but limited, influence on synchronization. In particular, an explosive synchronization can be obtained by weakening the co-evolution coupling strength. The transition tends to be smooth when the co-evolution coupling strength increases. Our findings indicate that externality from multiplex networks, especially the mixing parts, and the co-evolution coupling strength should be of importance for synchronization on one certain layer.