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
收藏
页码：2802 / 2808
页数：7
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