Almost Automorphy and Riccati Equation

被引：0

作者：

Mishra, Indira ^{[1
]}

机构：

[1] Univ Chile, Fac Ciencias, Dept Matemat, Santiago 3425, Chile

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2019年 / 27卷 / 04期

关键词：

Almost automorphic function; Riccati equation; Exact controllability; Evolution equation; Hyperbolic semigroups; Interpolation spaces; 34; K06; A12; 37; L05; SYSTEMS;

D O I：

10.1007/s12591-015-0271-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we first consider a linear time invariant system with almost automorphic forcing term. We propose two new deterministic quadratic control problems motivated by Da-Prato. We make use of a degenerate Riccati equation to solve these control problems. We also study the existence and uniqueness of an almost automorphic solutions of the associated differential equations.

引用

页码：379 / 394

页数：16

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