作者机构：
[Dai, Anding; Xiao, Cuie] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.;[Zhou, Wuneng] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China.;[Xu, Yuhua] Yunyang Teachers Coll, Dept Math & Finance, Shiyan 442000, Hubei, Peoples R China.
通讯机构：
[Dai, Anding] H;Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
关键词：
Synchronization;Neutral-type;Neural networks;Markovian switching;Adaptive pinning control
摘要：
In this paper, the adaptive exponential synchronization problem of neutral-type coupled neural networks with Markovian switching parameters is investigated. The switching parameters are modeled as a continuous time, finite state Markov chain. Based on Lyapunov stability theory, stochastic analysis and matrix theory, some sufficient conditions for exponential synchronization in mean square are derived. The adaptive controllers are added to part of nodes, and the adaptive laws are depend on Markov chain and error states. Two numerical examples are exhibited to illustrate the validity of the theoretical results. Through the comparison of average value of synchronization control cost and synchronization time, we verify that control different nodes may be more effectively to achieve synchronization than control fixed nodes when the network topology is switching by a Markov chain. In this paper, the adaptive exponential synchronization problem of neutral-type coupled neural networks with Markovian switching parameters is investigated. The switching parameters are modeled as a continuous time, finite state Markov chain. Based on Lyapunov stability theory, stochastic analysis and matrix theory, some sufficient conditions for exponential synchronization in mean square are derived. The adaptive controllers are added to part of nodes, and the adaptive laws are depend on Markov chain and error states. Two numerical examples are exhibited to illustrate the validity of the theoretical results. Through the comparison of average value of synchronization control cost and synchronization time, we verify that control different nodes may be more effectively to achieve synchronization than control fixed nodes when the network topology is switching by a Markov chain.
期刊：
Chinese Control Conference,2016年2016-August:3636-3641 ISSN：1934-1768
通讯作者：
Dai, Anding
作者机构：
[Dai, Anding; Xiao, Cuie] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
通讯机构：
[Dai, Anding] H;Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
会议名称：
第35届中国控制会议
会议时间：
2016-01-01
会议地点：
中国四川成都
会议主办单位：
[Dai, Anding;Xiao, Cuie] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
会议论文集名称：
Chinese Control Conference
关键词：
Synchronization;Neural network;Markovian switching parameter;Distributed adaptive law
摘要：
This paper investigates the synchronization problem for a class of delayed neural networks with Markovian switching parameters by using adaptive control scheme. A new delayed neural networks model with Markovian switching parameters and adaptive coupling strengths is established. By utilizing adaptive scheme, M-matrix approach and Lyapunov theory, sufficient criteria for a class of delayed neural networks with Markovian switching parameters and adaptive coupling strengths are proposed. A numerical example is provided to verify the effectiveness of proposed theories.
摘要：
Abstract: This paper is devoted to a class of inverse problem for parabolic differential equation with a non-linear source term. Using the theories of monotone operator and the Sobolev embedding theorem, we verify the existence and uniqueness of weak solution for the direct problem as well as the ex-istence of quasi-solutions of the inverse source problem in an appropriate class of admissible source functions.#@#@#摘要: 本文主要研究一类具非线性来源项的抛物型方程，利用单调算子理论和Sobolev嵌入定理，证明了正问题解的存在性与唯一性。在合适的容许集中证明了反问题拟解的存在性。
摘要：
This article concerns with a class of evolutionary hemivariational inequalities in the framework of evolution triple. Based on the Rothe method, monotonicity-compactness technique and the properties of Clarke's generalized derivative and gradient, the existence and convergence theorems to these problems are established. The main idea in the proof is using the time difference to construct the approximate problems. The work generalizes the existence results on evolution inclusions and hemivariational inequalities of second order.
摘要：
An optimal control problem for pseudoparabolic equations with pointwise obstacle type constraints is considered. There is a void interior even in the state constraint set, that is, without satisfying the Slater condition. A generalized solution of pseudoparabolic equations and necessary optimality conditions are established.
摘要：
Abstract: This article defines the concept of mathematics technology, information technology and occupa- tion technology, analyses the integration mechanism of the technology of mathematics, information and occupa- tion and the application of the mathematics technology and the information technology in forming and developing the occupation technology and this article also points out their integration plays a key role in the development of the innovative and compound talents with high levels.#@#@#摘要: 对数学技术、信息技术概念进行了界定，分析了数学技术、信息技术与职业技术的融合机理，数学技术、信息技术在促进职业技术的形成和发展中的作用，指出数学技术、信息技术与职业技术融合是培养***、创新型、复合型人才的关键。
