Spectrum assignment in linear systems with several commensurate lumped and distributed delays in state by means of static output feedback

被引：4

作者：

Zaitsev, V. A. ^{[1
]}

Kim, I. G. ^{[1
]}

机构：

[1] Udmurt State Univ, Lab Math Control Theory, Ul Univ Skaya 1, Izhevsk 426034, Russia

来源：

IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA | 2020年 / 56卷

基金：

俄罗斯基础研究基金会;

关键词：

linear differential equation; lumped delay; distributed delay; commensurate delays; spectrum assignment; stabilization; static output feedback; DIFFERENTIAL-EQUATIONS; MODAL CONTROL; EXPONENTIAL STABILIZATION; EIGENVALUE ASSIGNMENT; CONTROLLER-DESIGN; BILINEAR-SYSTEMS;

D O I：

10.35634/2226-3594-2020-56-01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A linear control system defined by a stationary differential equation of nth order with several commensurate lumped and distributed delays in state is considered. In the system, the input is a linear combination of m variables and their derivatives of order not more than n - p and the output is a k-dimensional vector of linear combinations of the state and its derivatives of order not more than p - 1. For this system, a spectrum assignment problem by linear static output feedback with commensurate lumped and distributed delays is studied. Necessary and sufficient conditions are obtained for solvability of the arbitrary spectrum assignment problem by static output feedback controller. Corollaries on stabilization of the system are obtained.

引用

页码：5 / 19

页数：15

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