我校数学与统计学院任永教授在随机系统控制理论领域深耕十余年，取得了一系列具有较强影响力的学术成果。“十四五”以来，任永教授及其领衔的科研团队已在控制理论与控制工程类国际权威学术刊物SIAM Journal on Control and Optimization、International Journal of Robust and Nonlinear Control、Mathematics and Computers in Simulation、International Journal of Control等期刊上发表论文共15篇，致力于随机系统的分析、控制及应用等方面的研究，其中5篇代表性论文如下：

代表性论文一、2021年5月，任永教授和欧洲科学院院士、东南大学曹进德教授，东南大学尹文生博士等合作的论文“Improved results on stabilization of G-SDEs by feedback control based on discrete-time observations ”发表在控制理论与控制工程类T1期刊SIAM Journal on Control and Optimization上。

【论文摘要】We provide feasible criteria for stabilization of stochastic differential equations driven by G-Brownian motion based on discrete-time observations. We extend the results in Ren, Yin, and Sakthivel [Automatica, 95 (2018), pp. 146-151] substantially by adopting a comparative method rather than the Lyapunov function arguments, for the pth moment and quasi-sure exponential stabilization problems. It seems that our pth moment estimates on the gap between the discretized controlled states and the auxiliary system's states are new. Using tools from the G-Ito stochastic analysis, we first show the exponential stabilization for equations with linear coefficients, then for equations with Lipschitz coefficients. An illustrative example is provided.

代表性论文二、2021年8月，任永教授和印度巴哈蒂尔大学(Bharathiar University)Rathinasamy Sakthivel教授合作的论文“Resilient dynamic output feedback control for bipartite consensus of multiagent systems with Markov switching topologies”发表在控制理论与控制工程类T1期刊International Journal of Robust and Nonlinear Control上。

【论文摘要】This study is systematically devoted to the problem of dynamic output feedback control for bipartite consensus of multiagent systems in the presence of Markov switching topologies. The main purpose of this study is to develop a dynamic output feedback controller with gain fluctuations such that the considered multiagent system achieves bipartite consensus. Notably, the interaction among agents of the considered system is depicted by a signed undirected Markovian switching network topologies. Pursuant to Lyapunov stability theory and algebraic graph theory, sufficient conditions will be derived in terms of linear matrix inequalities to obtain the bipartite consensus of the concerned problem. At last, superiority of the designed dynamic output feedback control technique and developed theoretical results are conferred through two numerical examples.

代表性论文三、2022年7月，任永教授和我校数学与统计学院胡兰英副教授、硕士研究生李怡萱合作的论文“Finite-time stability analysis of switched stochastic reaction-diffusion systems”发表在控制理论与控制工程类T2期刊International Journal of Control上。

【论文摘要】In this work, we consider a class of switched stochastic reaction-diffusion systems (SSRDSs, in short), where the discrete switching signal is a right continuous, piecewise function and the switching instants are stopping times or deterministic times. Criteria on finite-time stability in the probability of the trivial solution for SSRDSs are derived by means of Lyapunov functional methods. We propose an example to verify the obtained theoretical results.

代表性论文四、2021年3月，任永教授和印度巴哈蒂尔大学(Bharathiar University)Rathinasamy Sakthivel教授合作的论文“Resilient H-infinity filtering for networked nonlinear Markovian jump systems with randomly occurring distributed delay and sensor saturation”发表在控制理论与控制工程类T2期刊Nonlinear Analysis-Modelling and Control上。

【论文摘要】The H-infinity filtering problem for a class of networked nonlinear Markovian Jump systems subject to randomly occurring distributed delays, nonlinearities, quantization effects, missing measurements and sensor saturation is investigated in this paper. The measurement missing phenomenon is characterized via a random variable obeying the Bernoulli stochastic distribution. Moreover, due to bandwidth limitations, the measurement output is quantized using a logarithmic quantizer and then transmitted to the filter. Further, the output measurements are affected by sensor saturation since the communication links between the system and the filter are unreliable and is described by sector nonlinearities. The objective of this work is to design a quantized resilient filter that guarantees not only the stochastic stability of the augmented filtering error system but also a prespecified level of H-infinity performance. Sufficient conditions for the existence of desired filter are established with the aid of proper Lyapunov-Krasovskii functional and linear matrix inequality approach together with stochastic analysis theory. Finally, a numerical example is presented to validate the developed theoretical results.

代表性论文五、2021年1月，任永教授和印度巴哈蒂尔大学(Bharathiar University)Rathinasamy Sakthivel教授合作的论文“Robust finite-time PID control for discrete-time large-scale interconnected uncertain system with discrete-delay”发表在仿真科学与工程类T2期刊Mathematics and Computers in Simulation上。

【论文摘要】In this paper, we investigate the decentralized proportional-integral-derivative (PID) output-feedback control problem for a class of discrete-time uncertain large-scale systems with delayed interconnections. The robust finite time stabilization of the addressed uncertain large-scale system is attained via the feedback control with the prescribed extended passive performance index. Specifically, by using an appropriate Lyapunov-Krasovskii functional, a new set of sufficient conditions is derived on the basis of linear matrix inequality which ensures the finite-time boundedness of the augmented closed-loop uncertain large-scale systems. Furthermore, cone complementarity linearization (CCL) algorithm is developed to obtain the control gain parameters. Finally, a numerical example is provided to illustrate the effectiveness of proposed control design.

个人简介：任永，二级教授，博士生导师，校“学科带头人”，安徽省学术和技术带头人，安徽省数学会副理事长，现任安徽师范大学党委常委、副校长。主要从事随机微分方程及其应用领域研究工作，多次应邀前往香港、台湾、澳大利亚、韩国、法国等境外著名高校开展学术交流和合作，研究成果受到了国内外著名学者的积极好评，推动了随机系统控制理论的重要发展。以第一作者或通讯作者在国际高水平学术期刊上发表论文近150篇，他引1000余次，研究工作得到4项国家自然科学基金以及安徽省杰出青年基金等资助，荣获霍英东教育基金会第十二届高等院校青年教师奖和2项安徽省科学技术奖。