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| 1 | 广义算子半群与广义分布参数系统的适定性显示文摘首先,针对广义分布参数系统的求解问题,提出了由Hilbert空间中有界线性算子所引导的广义算子半群和广义积分半群;其次,讨论了广义预解算子的性质、广义算子半群与广义积分半群的性质;最后,研究了广义分布参数系统的适定性问题. | 葛照强 朱广田 冯德兴 | 2010 | 中国科学:数学2010，40，5： | 14 |
| 2 | Banach空间中时变广义分布参数系统的可解性显示文摘广义分布参数系统是比分布参数系统更常见的一类系统,二者有着本质的区别,如广义分布参数系统受到干扰时会旨起脉冲行为等.广义分布参数系统的可解性问题是广义分布参数系统研究的重要问题之一.本文主要研究Banach空间中时变广义分布参数系统的可解性问题.首先,讨论Banach空间中由有界线性算子所弓『导的广义发展算子及其性质,定义了广义发展算子的生成元,证明了广义发展算子的存在性;然后,应用广义发展算子研究时变广义分布参数系统的可解性问题,证明了强解的存在性和唯一性,并应用广义发展算子给出了时变广义分布参数系统强解的构造性表达式.所得结果对于研究时变广义分布参数系统的稳定性问题、能控性问题及最优控制问题等都有重要的理论及应用价值. | 葛照强 冯德兴 | 2013 | 中国科学:信息科学2013，43，3： | 3 |
| 3 | Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup显示文摘According to the well-posed problem of nonlinear singular distributed parameter systems,frst of all,the nonlinear GE-semigroup induced by a continuous(possibly nonlinear)operator is introduced in Banach space,which is a generalization of GE-semigroup(i.e.,generalized operator semigroup),and the properties of nonlinear GE-semigroup are discussed;and then the existence,uniqueness and constructive expression for the strong solution of nonlinear singular distributed parameter system are discussed by nonlinear GE-semigroup;at last,the exponential stability of nonlinear singular distributed parameter system is studied by using nonlinear GE-semigroup,functional analysis and operator theory in Banach space. | GE ZhaoQiang FENG DeXing | 2013 | Science China(Information Sciences)2013，56，12： | 3 |
| 4 | Feedback Stabilization for a Class of Second Order Singular Distributed Parameter System in Hilbert Space显示文摘Feedback stabilization for a class of second order singular distributed parameter system with multiinputs is discussed via functional analysis and operator theory in Hilbert space, the solutions of the problem and the constructive expressions of the solutions are given by the generalized inverse of bounded linear operator.This research is theoretically important for studying the stability of the singular distributed parameter system. | Feng LIU Guo-dong SHI Zhao-qiang GE | 2015 | Acta Mathematicae Applicatae Sinica2015，31，1： | 1 |
| 5 | 非线性时变广义分布参数系统的适定性问题显示文摘本文的主要目的是讨论非线性时变广义分布参数系统的适定性问题.首先,在Banach空间中引入由连续(可能是非线性的)算子引导的非线性广义发展算子,该非线性广义发展算子是广义发展算子的推广,并研究非线性广义发展算子的性质;然后,应用非线性广义发展算子讨论非线性时变广义分布参数系统的适定性问题,并给出解的构造性表达式. | 葛照强 冯德兴 | 2014 | 中国科学:数学2014，44，12： | 0 |
| 6 | 广义分布参数与广义集中参数耦合系统的极点配置问题显示文摘应用泛函分析和算子理论研究了Hilbert空间中用一阶广义发展方程描述的广义分布参数系统与广义集中参数系统经过状态反馈所形成的耦合闭环广义系统具有预先指定的极点问题,应用有界线性算子的有界内逆给出了实现极点配置的状态反馈的构造性表达式.所得结果对于研究广义分布参数系统的极点配置问题及镇定问题都有重要的理论意义. | 葛照强 冯德兴 | 2017 | 中国科学:信息科学2017，47，3： | 0 |
| 7 | Exact Controllability and Exact Observability of Descriptor Infinite Dimensional Systems显示文摘Necessary and sufficient conditions for the exact controllability and exact observability of a descriptor infinite dimensional system are obtained in the sense of distributional solution.These general results are used to examine the exact controllability and exact observability of the Dzektser equation in the theory of seepage and the exact controllability of wave equation. | Zhaoqiang Ge | 2021 | IEEE/CAA Journal of Automatica Sinica2021，8，12： | 0 |
| 8 | ON STATE FEEDBACK AND POLE ASSIGNMENT OF THE SECOND ORDER COUPLED SINGULAR DISTRIBUTED PARAMETER SYSTEMS IN HILBERT SPACE显示文摘联合单个分布式的参数系统在 Hilbert 空格经由功能的分析和操作符理论被讨论的第二份订单的州的反馈和杆赋值,在哪个无限许多杆被改变。这个问题和答案的建设性的表示的答案被围住的线性操作员的概括的逆给。这研究为学习杆赋值和单个分布式的参数系统的稳定是理论上重要的。 | Zhaoqiang GE Guangtian ZHU Dexing FENG | 2011 | Journal of Systems Science & Complexity2011，24，3： | 0 |
| 9 | Controllability and Observability of Stochastic Singular Systems in Banach Spaces显示文摘Exact(approximate)controllability and exact(approximate)observability of stochastic singular systems in Banach spaces are discussed.Firstly,the condition for the existence and uniqueness of the mild solution to stochastic singular systems is given by GE-semigroup in Banach spaces.Secondly,the necessary and sufficient conditions for the exact(approximate)controllability and exact(approximate)observability of the systems considered are derived in terms of GE-semigroup,and the dual principle is given.Thirdly,an illustrative example is given. | GE Zhaoqiang | 2022 | Journal of Systems Science & Complexity2022，35，1： | 0 |
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