首页> 外文会议> >A unified treatment for controllability/observability problems of partial differential equations of second order

【24h】

A unified treatment for controllability/observability problems of partial differential equations of second order

机译：二阶偏微分方程可控性/可观测性问题的统一处理

获取原文

页面导航

摘要
著录项
引文网络
相似文献
相关主题

摘要

In this paper, a weighted identity for partial differential operators (a + ib) part_t + Sigma_{j, k =1} ⁿ part_k (a^jk part_j), (a, b isin R), is established. By suitably choosing the parameters a and b, one may deduce all the known controllability/observability results for the parabolic, hyperbolic, Schrodinger and plate equations that are derived via Carleman estimate. Meanwhile, a new controllability/observability result is presented for the linearized complex Ginzburg-Landau equation

机译：本文针对偏微分算子（a + ib）part _{t + Sigma _{j，k = 1 ^{n part _{k （a ^{jk part _{j ）（a，b isin R）被建立。通过适当地选择参数a和b，可以推导通过Carleman估计得出的抛物线，双曲，Schrodinger和板方程的所有已知可控性/可观察性结果。同时，给出了线性化复杂的Ginzburg-Landau方程的可控性/可观测性结果}}}}}}

著录项

来源
《》|2006年|966-971|共6页
会议地点
作者
Fu Xiaoyu;
展开▼
作者单位

展开▼
会议组织
原文格式 PDF
正文语种
中图分类
关键词
Schrodinger equation; controllability; hyperbolic equations; observability; parabolic equations; partial differential equations; Carleman estimate; Schrodinger equations; controllability problems; hyperbolic equations; linearized complex Ginzburg-Landau equation; ob;

机译：Schrodinger方程;可控制性;双曲方程;可观测性;抛物方程;偏微分方程; Carleman估计; Schrodinger方程;可控制性问题;双曲方程;线性化复Ginzburg-Landau方程; ob;

相似文献

外文文献
中文文献
专利

1. RECENT PROGRESS ON CONTROLLABILITY/OBSERVABILITY FOR SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS [J] . Hongheng LI, Qi L(U), Xu ZHANG 系统科学与复杂性：英文版 . 2010,第003期

机译：由偏微分方程控制的系统的可控制性/可观测性的最新进展
2. Differential Equations in a Partial Differential Ring: Basic Properties and Observability Conditions [J] . I. V. Gaishun, A. I. Astrovskii Differential equations: A translation of differensial'nye uraveniya . 2018,第6期

机译：部分差分环中的微分方程：基本属性和可观察性条件
3. INTERNAL OBSERVABILITY FOR COUPLED SYSTEMS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS [J] . Lissy Pierre, Zuazua Enrique SIAM Journal on Control and Optimization . 2019,第2期

机译：线性偏微分方程耦合系统的内部可观察性
4. A unified treatment for controllability/observability problems of partial differential equations of second order [C] . Fu Xiaoyu Chinese Control Conference . 2006

机译：二阶偏微分方程的可控性/可观察性问题的统一处理
5. Analysis and approximations of terminal-state tracking optimal control problems and controllability problems constrained by linear and semilinear parabolic partial differential equations. [D] . Kwon, Hee-Dae. 2003

机译：线性和半线性抛物型偏微分方程约束的终端状态跟踪最优控制问题和可控制性问题的分析和逼近。
6. Invariant Differential Forms in Several Group Variables as Solutions of Partial Differential Equations in Fréchet Differentials [O] . Aristotle D. Michal 1951

机译：Fréchet微分方程中偏微分方程解的几个组变量的不变微分形式
7. A unified controllability/observability theory for some stochastic and deterministic partial differential equations [O] . Zhang, Xu 2010

机译：一些随机和随机的统一可控性/可观测性理论确定性偏微分方程
8. Parallels between Control PDE's (Partial Differential Equations) and Systems of ODE's (Ordinary Differential Equations) [R] . Hunt, L. R., Villarreal, R. 1987

机译：Control pDE（偏微分方程）与ODE系统（常微分方程）之间的平行关系

A unified treatment for controllability/observability problems of partial differential equations of second order

摘要

著录项

引文网络

相似文献

相关主题

期刊订阅