| Biography | |
|---|---|
 Prof. Quanxin Zhu Hunan Normal University, China |
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| Title: Existence-uniqueness and stability of stochastic nonlinear systems | |
| Abstract: In this talk, we are concerned with existence-uniqueness of a class of stochastic nonlinear systems with/without delays. The systems under our investigation are highly nonlinear not satisfying the linear growth condition, which makes the analysis difficult to ensure the existence and uniqueness of solutions. We first introduce a set of new highly nonlinear growth conditions with/without delays, and then we study the existence and uniqueness of solutions although the corresponding deterministic system may explode in a finite time as well as some properties of the solutions. Furthermore, we study the stability of nonlinear stochastic differential delay equations with Poisson jump. Finally, several examples are given to show the effectiveness and potential of theoretic results. | |
| Biography: Quanxin Zhu received the Ph.D. degree from Sun Yatsen (Zhongshan) University, Guangzhou, China, in 2005. From July 2005 to May 2009, he was with the South China Normal University. From June 2009 to June 2012, he was with the Ningbo University. From July 2012 to May 2018, he was a Professor of Nanjing Normal University. He is currently a Professor of Hunan Normal University, and he has obtained the Alexander von Humboldt Foundation of Germany. Professor Zhu is an Associate Editor of the Journal of Mathematical Problems in Engineering, Journal of Applied Mathematics, Research in Applied Mathematics, the Journal of Transnational Journal of Mathematical Analysis and Applications, and Journal of Advances in Applied Mathematics and he is a Reviewer of Mathematical Reviews and Zentralblatt Math. Also, Professor Zhu is a Senior Member of the IEEE and he is the Lead Guest Editor of "Recent Developments on the Stability and Control of Stochastic Systems" in Mathematical Problems and its Applications in Engineering. Professor Zhu is the Lead Editor of "Dynamical Analysis of Biological Systems Possessing Random Noises" in Frontiers in Applied Mathematics Statistics and is the Editor of "ICMMCMSE 2017" in Mathematics and Computers in Simulation. Professor Zhu is a Highly cited scientist in the world in 2018, and he has obtained 2011 Annual Chinese "One Hundred the Most Influential International Academic Paper" Award and has been one of most cited Chinese researchers in 2014–2018, Elsevier. Professor Zhu has also obtained Outstanding Reviewer of J. Franklin Inst. in 2017 and 2018, Outstanding Reviewer of Fuzzy Sets and Systems in 2018, Outstanding Reviewer of Neurcomputing in 2018, Outstanding Reviewer of Applied Mathematics and Computation in 2018, Outstanding Reviewer of Chaos, Solitons and Fractals in 2018, Outstanding Reviewer of ISA Transactions in 2018. Professor Zhu is a reviewer of more than 50 other journals and he is the author or coauthor of more than 150 journal papers. His research interests include random processes, stochastic control, stochastic differential equations, stochastic partial differential equations, stochastic stability, nonlinear systems, Markovian jump systems, and stochastic complex networks. | |
