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| 1 | RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS显示文摘In this paper,we investigate the pth moment uniformly asymptotic stability of impulsive stochastic functional differential systems by extending some Razumikhin-type theorems.Based on the Lyapunov functions and Razumikhin techniques,some criteria are established and their applications to impulsive stochastic delay systems are proposed.An illustrative example shows the effectiveness of our results. | Pei CHENG~1 Feiqi DENG~2 Xisheng DAI~3 Systems Engineering Institute,South China University of Technology,Guangzhou 510640,China | 2010 | Journal of Systems Science and Systems Engineering2010，19，1： | 8 |
| 2 | Coordination game model of co-opetition relationship on cluster supply chains显示文摘The research of cluster supply chains is a new direction and a hotspot of the industrial cluster theory. On the condition of the coordination game, the enterprises may be stuck on the non-effcient equilibrium status, which becomes an important problem that must be considered on cluster supply chains. A symmetrical coordination game model is constituted to describe the competition and cooperation relationship of the same-quality manufacturers on cluster supply chains. The methods of the non-cooperation game theory and the evolutionary game theory are respectively used to analyze the model, whose parameters' influences under each method are then compared. It can be concluded that the analysis of the evolutionary game theory is more realistic and practical. Finally, three approaches are considered to break away from being path-dependence locked-in non-effcient status during this coordination game evolutionary process, which provide the development of cluster supply chains with an effective forecasting and Pareto optimizing method. | Zhou Min Deng Feiqi Wu Sai | 2008 | Journal of Systems Engineering and Electronics2008，19，3： | 7 |
| 3 | Stability of impulsive stochastic functional differential systems in terms of two measures via comparison approach显示文摘Comparison principles for general impulsive stochastic functional differential systems are established.Employing the comparison principles and the theory of differential inequalities,stability and instability,involving two measures,of impulsive stochastic functional differential systems are investigated.Several stability and instability criteria are obtained,and two examples are also given to illustrate our results. | YAO FengQi DENG FeiQi | 2012 | Science China(Information Sciences)2012，55，6： | 7 |
| 4 | Study on stability in probability of general discrete-time stochastic systems显示文摘Dear editor,It is well-known that the stability should first be considered in system analysis and synthesis.Since Lyapunov first initiated his stability theory regarding ordinary differential equations(ODEs)in 1892,Lyapunov’s stability theory has been an important research topic in both mathematics and control theory. | Tianliang ZHANG Feiqi DENG Weihai ZHANG | 2020 | Science China(Information Sciences)2020，63，5： | 5 |
| 5 | Weighted average consensus problem in networks of agents with diverse time-delays显示文摘This paper studies the weighted average consensus problem for networks of agents with fixed directed asymmetric unbalance information exchange topology. We suppose that the classical distributed consensus protocol is destroyed by diverse time-delays which include communication time-delay and self time-delay. Based on the generalized Nyquist stability criterion and the Gerschgorin disk theorem, some sufficient conditions for the consensus of multi-agent systems are obtained. And we give the expression of the weighted average consensus value for our consensus protocol. Finally, numerical examples are presented to illustrate the theoretical results. | Wenhui Liu Feiqi Deng Jiarong Liang Xuekui Yan | 2014 | Journal of Systems Engineering and Electronics2014，25，6： | 4 |
| 6 | Distributed Average Consensus in Multi-agent Networks with Limited Bandwidth and Time-delays显示文摘This paper studies the distributed average consensus problem of multi-agent digital networks with time-delays. For the network, each agent can only exchange symbolic data with its neighbours. We provide a distributed average consensus protocol which uses the quantized and time-delay information. We consider two types of dynamic encoders/decoders in our protocol.One uses inverse proportion function as scaling function, while the other uses exponential function as scaling function. All agents can reach average consensus asymptotically with our protocol.Furthermore, we show that the average consensus protocol is robust to finite symmetric time-delays, but is sensitive to asymmetric time-delays that will destroy the average consensus of the networks. Finally, simulations are presented to illustrate validity of our theoretical results. | Wenhui Liu Feiqi Deng Jiarong Liang Haijun Liu | 2014 | IEEE/CAA Journal of Automatica Sinica2014，1，2： | 4 |
| 7 | Theory and application of stability for stochastic reaction diffusion systems显示文摘So far,the Lyapunov direct method is still the most effective technique in the study of stability for ordinary differential equations and stochastic differential equations. Due to the shortage of the corresponding It formula,this useful method has not been popularized in stochastic partial differential equations.The aim of this work is to try to extend the Lyapunov direct method to the It stochastic reaction diffusion systems and to establish the corresponding Lyapunov stability theory,including stability in probablity,asymptotic stability in probablity,and exponential stability in mean square.As the application of the obtained theorems,this paper addresses the stability of the Hopfield neural network and points out that the main results ob- tained by Holden Helge and Liao Xiaoxin et al.can be all regarded as the corollaries of the theorems presented in this paper. | LUO Qi DENG FeiQi MAO XueRong BAO JunDong ZHANG YuTian | 2008 | Science in China(Series F)2008，51，2： | 3 |
| 8 | Stability for discrete-time uncertain systems with infinite Markov jump and time-delay显示文摘In this paper,we developed a stability analysis for discrete-time uncertain time-delay systems governed by an infinite-state Markov chain(DUTSs-IMC).Some sufficient conditions for the considered systems to be exponential stability in mean square with conditioning(ESMS-C)are derived via linear matrix inequalities(LMIs),which can be examined conveniently.Under novel sufficient conditions,the equivalence among asymptotical stability in mean square(ASMS),stochastic stability(SS),exponential stability in mean square(ESMS),and ESMS-C has been established.Besides,numerical simulations are employed in result validation. | Ting HOU Yueying LIU Feiqi DENG | 2021 | Science China(Information Sciences)2021，64，5： | 3 |
| 9 | Exponential stability of stochastic Markovian jump systems with time-varying and distributed delays显示文摘Dear editor,In the field of applied mathematics and control theory,the research on stochastic Markovian jump systems has attracted increasing attention in recent years.A few studies have been conducted on stochastic Markovian jump systems[1-6].Most previously conducted studies on stochastic Markovian jump systems investigate the discrete timevarying delay[4-6],whereas the distributed delay has not been given much attention owing to the difficulties involved in applying mathematical analysis. | Xueyan ZHAO Feiqi DENG Wenhua GAO | 2021 | Science China(Information Sciences)2021，64，10： | 3 |
| 10 | Event-Triggered Sampled-Data Consensus of Nonlinear Multi-Agent Systems with Control Input Losses显示文摘This paper investigates the leader-following consensus problem for multi-agent systems with event-triggered mechanism and control packet losses.Based on the local synchronization error, event-triggered mechanisms are proposed in order to reduce the number of controller update.The control packet may lose due to unreliability of communication channel.With the assumption that once the packet loss happens the controller will be set to zero,sufficient consensus criteria for multi-agent system with event-triggered mechanism and control packet losses is obtained.It is also shown that the interplay among the allowable packet loss rate,event-triggered mechanism and sampling period.An illustrative example is given to demonstrate the effectiveness of the theoretical results. | XING Mali DENG Feiqi | 2018 | Journal of Systems Science & Complexity2018，31，6： | 3 |
| 11 | Delay-dependent dissipative filtering for nonlinear stochastic singular systems with time-varying delays显示文摘This paper concentrates on studying the delay-dependent dissipative filtering problem for nonlinear stochastic singular systems with time-varying delays via a Takagi-Sugeno(T-S) fuzzy control approach. The T-S fuzzy model is employed to represent a nonlinear stochastic singular system with unknown or partially unknown membership functions. Firstly, based on an auxiliary vector function, by utilizing an integral inequality and the free-weighting-matrix approach, a delay-dependent sufficient condition is derived to enable the considered filtering error system with time-varying delays to be stochastically admissible and dissipative. Furthermore,on the basis of the derived condition, by using a new type of candidate Lyapunov-Krasovskii function, the solvability conditions of the dissipative filter are addressed, and the corresponding fuzzy filter parameters can be obtained by solving a set of linear matrix inequalities. And then, we deduce the solving method for the H∞filter. The delay-dependent sufficient conditions are proposed to guarantee the systems to be regular, impulsefree, stochastically stable and to achieve a prescribed performance index ?γ. Finally, some simulation examples are proposed to manifest the effectiveness and merits of the filter design methodology developed in the paper. | Shuangyun XING Feiqi DENG | 2017 | Science China(Information Sciences)2017，60，12： | 2 |
| 12 | Stochastic stabilization using aperiodically sampled measurements显示文摘This paper addresses the stabilization problem of sector-bounded nonlinear systems with sampled measurements via discrete-time stochastic feedback control. Unlike the previous studies, the closed-loop system is modeled as an impulsive stochastic differential equation. By developing a quasi-periodic polynomial Lyapunov function and sampling-time-dependent Lyapunov function based methods, two sufficient conditions for almost sure exponential stability are derived in terms of differential matrix inequalities(DMIs) and linear matrix inequalities(LMIs). It is shown that the DMI-based conditions can be formulated as a sum of squares(SOSs). Moreover, the obtained results are adapted to sampled-data stochastic/deterministic systems. The numerical examples illustrate the theoretical results. | Shixian LUO Feiqi DENG Xueyan ZHAO Zhipei HU | 2019 | Science China(Information Sciences)2019，62，9： | 2 |
| 13 | Fault estimation and fault-tolerant control for linear discrete time-varying stochastic systems显示文摘This paper presents a scheme for simultaneous fault estimation and fault-tolerant control of linear discrete time-varying stochastic systems.An observer is proposed to estimate the system state and the fault simultaneously.The estimation errors of both the system state and fault can achieve exponential stability in mean square sense even if the fault arbitrarily changes or is unbounded.The controllers of the drift term and diffusion term are designed separately,and then based on the estimated fault,the fault compensation is performed to realize fault tolerance.For the parameter design in the estimator and controllers,we provide two different algorithms via the cone complementarity linearization and the state transition matrix methods,respectively.As an extension,a class of quasi-linear systems is also discussed.A simulation example with two different fault types and an application in electromechanical servo systems are provided to illustrate the usefulness of the proposed scheme. | Tianliang ZHANG Feiqi DENG Yuan SUN Peng SHI | 2021 | Science China(Information Sciences)2021，64，10： | 2 |
| 14 | Stabilization for multi-group coupled stochastic models by delay feedback control and nonlinear impulsive control显示文摘Stabilization for multi-group coupled models stochastic by delay feedback control and nonlinear impulsive control are considered in this paper. Using graph theory and Lyapunov method, some sufficient conditions are acquired by some control methods. Those criteria are easier to verify and no need to solve any linear matrix inequalities. These results can be designed more easily in practice. At last, the effectiveness and advantage of the theoretical results are verified by an example. | Chaolong ZHANG Feiqi DENG Yiping LUO | 2018 | Science China(Information Sciences)2018，61，7： | 2 |
| 15 | Exponential stability of the Euler-Maruyama method for neutral stochastic functional differential equations with jumps显示文摘The exponential stability of trivial solution and numerical solution for neutral stochastic functional differential equations(NSFDEs) with jumps is considered. The stability includes the almost sure exponential stability and the mean-square exponential stability. New conditions for jumps are proposed by means of the Borel measurable function to ensure stability. It is shown that if the drift coefficient satisfies the linear growth condition, the Euler-Maruyama method can reproduce the corresponding exponential stability of the trivial solution. A numerical example is constructed to illustrate our theory. | Haoyi MO Mengling LI Feiqi DENG Xuerong MAO | 2018 | Science China(Information Sciences)2018，61，7： | 2 |
| 16 | Basic theory and stability analysis for neutral stochastic functional differential equations with pure jumps显示文摘This paper investigates the existence and uniqueness of solutions to neutral stochastic functional differential equations with pure jumps(NSFDEwPJs). The boundedness and almost sure exponential stability are also considered. In general, the classical existence and uniqueness theorem of solutions can be obtained under a local Lipschitz condition and linear growth condition. However, there are many equations that do not obey the linear growth condition. Therefore, our first aim is to establish new theorems where the linear growth condition is no longer required whereas the upper bound for the diffusion operator will play a leading role. Moreover, the pth moment boundedness and almost sure exponential stability are also obtained under some loose conditions. Finally, we present two examples to illustrate the effectiveness of our results. | Mengling LI Feiqi DENG Xuerong MAO | 2019 | Science China(Information Sciences)2019，62，1： | 2 |
| 17 | A new perspective on fuzzy control of the stochastic T-S fuzzy systems with sampled-data显示文摘Dear editor,In the past several decades,stability analysis and synthesis of It?stochastic systems have gradually become the important areas of focus owing to their applications in many real-world systems,such as nuclear,thermal,chemical process,biological,socioeconomic,and immunological systems(1–5)In addition,nonlinearities exist in real plants,which always have more complex analyses than general linear systems.Moreover,the Takagi-Sugeno(TS)fuzzy systems,which are described by a set of fuzzy IF-THEN rules and local linear systems,are widely accepted as convenient tools to address nonlinearities in the systems[6,7]. | Shuqi LI Feiqi DENG Xueyan ZHAO | 2019 | Science China(Information Sciences)2019，62，10： | 2 |
| 18 | A CBR method for CFW Prevention and Treatment显示文摘 | Zhengang Yang Feiqi Deng Weizhang Liu | 2009 | Expert Systems with Applications2009，36，： | 1 |
| 19 | Asymptotic Properties of Stochastic Population Dynamics 显示文摘 | Sulin Pang Feiqi Deng Xuerong Mao | 2008 | Dynamics of Continuous Discrete and Impulsive Systems Series A2008，15，5： | 1 |
| 20 | Noise suppress or express exponential growth显示文摘 | DENG Feiqi LUO Qi MAO Xuerong | 2008 | Systems & Control Letters2008，57，： | 1 |
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