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Ganlei Zhang,Jiayong Zhang,Wei Li,Chao Ge,Yajuan Liu 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.2
This paper investigates the exponential synchronization issue for delayed neural networks with stochastic sampling. The variable sampling period of controller is assumed to switch stochastically between different values with given probability. In addition, the actuator failure phenomenon may occur in many actual systems which is taken into account. By using input delay method, the sampling system is converted to the continuous system. Then, a neoteric time-delay Lyapunov-Krasovskii functional (LKF) that contains delay bounds information is constructed and by using reciprocally convex approach, the sufficient conditions are derived to guarantee the exponentially mean-square stable of the delayed neural networks. The corresponding sampled-data controller can be obtained in terms of the solution to linear matrix inequalities (LMIs). Finally, one numerical example is used to illustrate the effectiveness of proposed method.
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Jingwei Zhang,,Nabil Ebraheim,Ming Li,Xianfeng He,Jiayong Liu,Limei Zhu,Yihui Yu 대한정형외과학회 2015 Clinics in Orthopedic Surgery Vol.7 No.1
Background: The locking plates are often used for internal fixation of closed tibial fractures. The use of a locking plate as an externalfixator is still controversial, particularly for closed fractures. The purpose of this study is to evaluate the results of externalfixation using the femoral less invasive stabilization system (LISS) plate in proximal metaphyseal fractures of the tibia. Methods: We prospectively evaluated 35 patients (26 males and 9 females) with a mean age of 42 years (range, 21 to 62 years)who presented with fresh tibial proximal metaphyseal fractures. According to the AO Foundation and Orthopaedic Trauma Association(AO/OTA) classification, the fractures were identified as type 41-A2 in 18 cases and type 41-A3 in 17 cases, including 25closed fractures and 10 open fractures. The femoral LISS plate was used to fix these fractures, which was placed on the anteromedialaspect of the tibia as an external fixator. The mean follow-up period was 18 months (range, 13 to 22 months). Results: All fractures healed in a mean time of 14 weeks (range, 10 to 20 weeks). There was no case of nonunion, deep infection,and loosening of screws and plates. One month after the appearance of cortical bridging on biplanar radiographs, the locking platewas removed within 3 minutes in the clinic without any difficulty. According to the Hospital for Special Surgery (HSS) knee scoringsystem and American Orthopaedic Foot & Ankle Society (AOFAS) ankle scoring system, the mean HSS score was 91 (range, 85 to100) and 98 (range, 93 to 100), and the mean AOFAS score was 94 (range, 90 to 100) and 98 (range, 95 to 100) at 4 weeks postoperativelyand final follow-up, respectively. Conclusions: For proximal metaphyseal fracture of the tibia, external fixation using the femoral LISS plate is a safe and reliabletechnique with minimal complications and excellent outcomes. Its advantages include ease of performing the surgery, use of a lessinvasive technique, and convenience of plate removal after fracture healing.
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H∞ Synchronization of Uncertain Chaotic Lur’e Systems with Timevarying Delay via Stochastic Sampling
Hanxiao Zhao,Wei Li,Jiayong Zhang,Chao Ge,Yajuan Liu 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.4
In this article, the problem of H∞ synchronization for uncertain chaotic systems with time-varying delay controlled by random sampling is considered. The variable sampling period is assumed to switch stochastically between different values with given probability. In addition, the disturbance and the parameter uncertainty that may occur in many actual system are taken into account. With the help of input delay method, the chaotic Lur’e systems (CLSs) with probability sampling is converted to a continuous system. Then, based on the Lyapunov-Krasovskii functional (LKF) theory, a novel LKF is proposed. By using the reciprocal convex method, sufficient conditions are obtained to guarantee the stability of the error system and to reduce the influence of external disturbances under the condition of bounded H∞ norm. By solving a series of linear matrix inequalities (LMIs) which are obtained, the corresponding sampled data controller can be obtained. Finally, a numerical example is used to illustrate the superiority and effectiveness of proposed method.
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