Relay control of an evolution process in a Banach space in a neighborhood of an unstable stationary regime

Ivirsin MB

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Relay control of an evolution process in a Banach space in a neighborhood of an unstable stationary regime

机译：不稳定平稳状态附近Banach空间中演化过程的中继控制

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摘要

We study a controlled evolution process whose states are characterized by points of a real Banach space and which is described by a family of semigroups in a neighborhood of an unstable stationary regime. The goal is to find control to keep the state of the process however long in the neighborhood. We find conditions under which this control is possible, and prove an existence theorem. Also, we apply the theorem to the processes described by systems of parabolic differential equations.

机译：我们研究了受控演化过程，其状态以真实的Banach空间的点为特征，并由不稳定平稳状态附近的半族族描述。目标是找到控制以保持进程状态在邻居中无论多长时间。我们找到了可以进行这种控制的条件，并证明了存在性定理。同样，我们将定理应用于抛物型微分方程系统所描述的过程。

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《Siberian Mathematical Journal》 |2010年第1期|共13页
作者
Ivirsin MB;
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正文语种 eng
中图分类数学;
关键词
control theory; parametric control; unstable stationary regime;

机译：控制理论;参数控制;不稳定稳态;

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专利

1. Relay control of an evolution process in a Banach space in a neighborhood of an unstable stationary regime [J] . Ivirsin MB Siberian Mathematical Journal . 2010,第1期

机译：不稳定平稳状态附近Banach空间中演化过程的中继控制
2. Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces [J] . JinRong Wang, Yong Zhou Advances in Difference Equations . 2011,第1期

机译：Banach空间中分数阶演化系统时间最优控制的逼近过程研究。
3. Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces [J] . JinRong Wang, Yong Zhou Advances in Difference Equations . 2011,第1期

机译：Banach空间中分数阶演化系统时间最优控制的逼近过程研究。
4. Controllability of evolution differential inclusions in Banach space [C] . Yu Jinfeng, Li Shiqiang 2011 30th Chinese Control Conference . 2011

机译：Banach空间中演化微分包含的可控性
5. Nonlinear evolution equations and optimization problems in Banach spaces. [D] . Lee, Haewon. 2005

机译：Banach空间中的非线性发展方程和优化问题。
6. On Weak Exponential Expansiveness of Evolution Families in Banach Spaces [O] . Tian Yue, Xiao-qiu Song, Dong-qing Li 2013

机译：Banach空间中演化族的弱指数扩张性
7. Study of an Approximation Process of Time Optimal Control for Fractional Evolution Systems in Banach Spaces [O] . JinRong Wang, Yong Zhou 2011

机译：Banach空间中分数阶演化系统时间最优控制的逼近过程研究。
8. Spectral Dilation of L(B,H)-Valued Measures and Its Application to Stationary Dilation for Banach Space Valued Processes [R] . Miamee, A. G. 1988

机译：L（B，H） - 值测度的谱扩张及其在Banach空间值过程平稳膨胀中的应用

Relay control of an evolution process in a Banach space in a neighborhood of an unstable stationary regime

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