Prof. Quanxin Zhu
Xiaoxiang Scholar at Hunan Normal University, China
Title: Solutions and properties of stochastic nonlinear systems with/without delays.
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. Finally, several examples are given to show the effectiveness and potential of theoretic results.
Zhu has committed to the research of Markov process, stochastic system stability and control theory and application. So far he has mand a series of important progress and solved multiple open questions raised by international publications such as SIAM J. and Control Optim. He has published 130 SCI-indexed papers in international journals such as Automatica, IEEE TAC, IEEE TNN, IEEE TSMC (Part B), IEEE TNNLS and Syst. Control Lett. His papers have been cited more than 2,200 times by other SCII-indexed papers. His article published in SCI-index journal Nonlinear Anal.: RWA was rated as one of the 25 most popular articles in the Science Direct database in 2012. Wang was awarded as one of the Highly-Cited Scientists in 2018, Outstanding Reviewers for the Journal of the Franklin Institute in 2017 and 2018, for the Fuzzy Sets and Systems in 2018 (Independent), Neurocomputing in 2018, Applied Mathematics and Computation in 2018, Chaos, Solitons and Fractals in 2018, ISA Transactions in 2018. He serves as an editorial board member of 5 international publications, the guest editors for 4 special issues of international publications.