THE H-INFINITY-PROBLEM FOR INFINITE-DIMENSIONAL SEMILINEAR SYSTEMS

被引：4

作者：

BARBU, V

机构：

[1] Univ of Iasi, Iasi

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1995年 / 33卷 / 04期

关键词：

HAMILTON-JACOBI EQUATION; HAMILTONIAN SYSTEM; SUP INF PROBLEM; EXPONENTIALLY STABLE SEMIGROUP;

D O I：

10.1137/S0363012993244052

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the H-infinity-optimal control problem for semilinear systems in Hilbert spaces in connection with the corresponding H-infinity-problem for the linearized system around an equilibrium state. The result of this paper, which expands some recent results of A. J. van der Schaft, is that if the linearized H-infinity-problem has a suboptimal solution, then a suboptimal solution to the H-infinity-problem for the semilinear system can be constructed in terms of a Hamilton-Jacobi equation.

引用

页码：1017 / 1027

页数：11

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