Necessary and Sufficient Stability Condition by Finite Number of Mathematical Operations for Time-delay Systems of Neutral Type

被引：16

作者：

Gomez, Marco A. ^{[1
]}

Egorov, Alexey V. ^{[2
]}

Mondie, Sabine ^{[3
]}

机构：

[1] Univ Guanajuato, Dept Mech Engn, Campus Irapuato Salamanca, Guanajuato 36885, Mexico

[2] St Petersburg State Univ, St Petersburg 199034, Russia

[3] CINVESTAV IPN, Dept Automat Control, Mexico City 07360, DF, Mexico

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 06期

关键词：

Delays; Stability criteria; Symmetric matrices; Eigenvalues and eigenfunctions; Control theory; Delay Lyapunov matrix; necessary and sufficient stability condition; time-delay systems; LYAPUNOV-KRASOVSKII FUNCTIONALS; IMAGINARY AXIS EIGENVALUES; STABILIZATION; COMPUTATION; PARAMETERS;

D O I：

10.1109/TAC.2020.3008392

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 present a new necessary and sufficient condition of exponential stability of neutral-type linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms of a block matrix, which exclusively depends on the delay Lyapunov matrix and is of finite dimension.

引用

页码：2802 / 2808

页数：7

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