Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces

Mahmudov NI.

首页> 外文期刊>SIAM Journal on Control and Optimization >Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces

【24h】

Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces

机译：抽象空间中半线性确定性和随机发展方程的近似可控性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Various sufficient conditions for approximate controllability of linear evolution systems in abstract spaces have been obtained, but approximate controllability of semilinear control systems usually requires some complicated and limited assumptions. In this paper, we show the approximate controllability of the abstract semilinear deterministic and stochastic control systems under the natural assumption that the associated linear control system is approximately controllable. The results are obtained using new properties of symmetric operators (which are proved in this paper), compact semigroups, the Schauder fixed point theorem, and/or the contraction mapping principle. [References: 36]

机译：已经获得了抽象空间中线性演化系统的近似可控性的各种充分条件，但是半线性控制系统的近似可控性通常需要一些复杂且有限的假设。在本文中，我们在关联的线性控制系统近似可控的自然假设下，展示了抽象半线性确定性和随机控制系统的近似可控性。使用对称算子（在本文中已证明）的新属性，紧致半群，Schauder不动点定理和/或压缩映射原理获得了结果。 [参考：36]

著录项

来源
《SIAM Journal on Control and Optimization》 |2003年第5期|共19页
作者
Mahmudov NI.;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Symmetric operators; Controllability; The schauder; fixed point theorem; The contraction mapping principle; Semilinear evolution equations; Stochastic evolution equations; Heat-equation; Banach-space; Systems; Observability; Terms;

机译：对称算子可控性schauder不动点定理压缩映射原理半线性发展方程随机发展方程热方程Banach空间系统可观测性项;

相似文献

外文文献
中文文献
专利

1. Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces [J] . Mahmudov NI. SIAM Journal on Control and Optimization . 2003,第5期

机译：抽象空间中半线性确定性和随机发展方程的近似可控性
2. Controllability of semilinear stochastic delay evolution equations in Hilbert spaces [J] . P.Balasubramaniam, J. P.Dauer International journal of mathematics and mathematical sciences . 2002,第3期

机译：Hilbert空间中半线性随机时滞演化方程的可控性
3. Approximate controllability of fractional neutral stochastic evolution equations in Hilbert spaces with fractional Brownian motion [J] . Mourad Kerboua Stochastic Analysis and Applications . 2018,第2期

机译：分数布朗运动的希尔伯特空间中分数中立随机演化方程的近似可控性
4. Approximate Controllability for the Semilinear Fuzzy Integrodifferential Equations in n-Dimensional Fuzzy Vector Space [C] . Ja Hong Koo, Yong Gyun Lee, Young Chel Kwun, Mechanical engineering and technology . 2011

机译：n维模糊向量空间中半线性模糊积分微分方程的近似可控性
5. Semilinear stochastic differential equations in Hilbert spaces driven by non-Gaussian noise and their asymptotic properties. [D] . Wang, Li. 2005

机译：非高斯噪声驱动的希尔伯特空间中的半线性随机微分方程及其渐近性质。
6. Control Problems for Semilinear Neutral Differential Equations in Hilbert Spaces [O] . Jin-Mun Jeong, Seong Ho Cho -1

机译：Hilbert空间中半线性中立型微分方程的控制问题
7. Controllability of semilinear stochastic delay evolution equations in Hilbert spaces [O] . P. Balasubramaniam, J. P. Dauer 2002

机译：Hilbert空间中半线性随机时滞演化方程的可控性

Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces

摘要

著录项

相似文献

相关主题

期刊订阅