一类非线性脉冲发展方程的最优反馈控制

本文考虑受控系统为Banach空间中一类G0紧半群的非线性脉冲积微分方程的最优反馈控制问题。首先证明容许控制对的存在性,进一步对Lagrange问题给出了一个新的存在性定理。     

A note on a nonlinear semigroup for controlled partially observed diffusions

This paper is concerned with the separated control problems for optimal stochastic controls under partial observations. The ‘pathwise’ method of nonlinear filtering is extended to the case when a function h(X_tY_t, of state X_t, and observation Y_t 3plus additive white noise is observed. Markov and continuity properties of the unnormalized conditional distribution measure are obtained and the Nisio nonlinear semigroup is found.     

Optimal Control for Pennes' Bioheat Equation

The problem of Pennes' bioheat boundary control through a skin with its inner medium kept at a constant steady‐state temperature where the outer surface subjected to conductive condition is solved by different methods. Analytical and mild solutions of Pennes' boundary control problem yield a discrete optimization problem for temperature profile at the specific depth point as well as temperature profile at all points of the skin in the final time. The pointwise optimal control problem has been solved by discretized form of the unconstrained optimization problem using analytical solution for Pennes' boundary control problem. The analytical solution has been used to solve the optimal control problems via an unconstrained/constrained optimization in Methods I and II. In Method III first, Pennes' boundary control problem is solved using mild solution by strongly continuous semigroup theory. Then, nonlinear optimization problem with linear constraints is proposed to calculate the corresponding piecewise optimal control function. All methods, have been applied to a homogeneous tissue. Mathematical simulation is done to show the optimal controls for the related states when minimum effort is used.     

纯正半群的强半格上的同余

刻画了纯正半群的强半格上的最小群同余,给出了由这样的同余得到的商半群为每个纯正半群的商半群的强半格的结论,并证明了该结论.     

超越整函数半群的斜积

设G是一个由有限个超越整函数f1f,2,…f,m生成的半群,其中半群运算是函数的复合.结合词空间∑={1,…,m}^N定义斜积,在此基础上给出斜积的Fatou集和Julia集的定义,得到了它的Fatou集和Julia集的跟古典Fatou-Julia理论相似的一些基本性质.     

Moment stability of fractional stochastic evolution equations with Poisson jumps

Fractional differential equations have wide applications in science and engineering. In this paper, we consider a class of fractional stochastic partial differential equations with Poisson jumps. Sufficient conditions for the existence and asymptotic stability in pth moment of mild solutions are derived by employing the Banach fixed point principle. Further, we extend the result to study the asymptotic stability of fractional systems with Poisson jumps. An example is provided to illustrate the effectiveness of the proposed results.     

幂零半群满足Г(S)是中心为c的星图加细

对于中心为c的星图加细Г(S),主要讨论了当导出子图Г(S)c*同构于K1,1时,幂零半群S的代数结构及性质.     

具有常规原因和人为错误的两个不同部件并行系统的非弱解存在唯一

讨论了一个由于常规原因和人为错误引起故障的两个不同部件并行系统的模型,修复后的故障系统恢复正常．在假设故障系统修复率非常数的前提下,利用可修系统算子生成的Banach空间中的正压缩c0半群的性质及泛函分析的方法,证明了该系统具有唯一非负时间依赖弱解．     

Approximate controllability of stochastic nonlinear third‐order dispersion equation

In this work, we consider a class of control systems governed by the stochastic nonlinear third‐order dispersion equation in Hilbert spaces. We first prove the existence of mild solutions of stochastic nonlinear third‐order dispersion equation by using fixed point theory, infinite dimensional semigroup properties, stochastic analysis techniques, and then a new set of sufficient conditions are formulated which guarantees the approximate controllability of the main problem. Finally, an example is provided to illustrate the application of the obtained results.Copyright © 2012 John Wiley & Sons, Ltd.     

P-反演半群上的强P-同余格

介绍了P 反演半群的概念 ,给出了P 反演半群上强P 同余格的某些特征