Applications of Subpositive Definite Matrices for Stability of General Non-Linear Systems

被引：1
作者：
Liu, Feng [1 ]
Shi, Guodong [1 ]
Weng, Zhiqing [2 ]
机构：
[1] Jiangsu Teachers Univ Technol, Changzhou, Peoples R China
[2] Changzhou Text Garment Inst, Changzhou, Peoples R China
来源：
2009 2ND IEEE INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND INFORMATION TECHNOLOGY, VOL 4 | 2009年
关键词：
General non-linear systems; stability; subpositive definite matrix;
D O I：
10.1109/ICCSIT.2009.5234520
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Stability of general non-linear systems at positive equilibrium state is an important problem, many articles have rather thoroughly researched it, and some criterions have been established based on M matrix and positive definite matrix. In this paper, subpositive definite matrices are led into general non-linear systems, and some new criterions for general non-linear systems on overall stability are acquired. These results improve or expand some existing criterions.
引用
收藏
页码：367 / +
页数：2
相关论文
共 50 条
[41]   Stability conditions for a non-linear size-structured model [J].
Farkas, JZ .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (05) :962-969
[42]   Linearization techniques in fault diagnosis of non-linear systems [J].
Lin, W ;
Wang, H .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2000, 214 (I4) :241-245
[43]   Adaptive control of minimum phase non-linear systems [J].
Johansen, TA ;
Ioannou, PA .
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 1996, 10 (01) :61-78
[44]   Non-linear dynamic stability of shallow reticulated spherical shells [J].
Han, Ming-Jun ;
Li, You-tang ;
Qiu, Ping ;
Wang, Xin-zhi .
INTELLIGENT MATERIALS, APPLIED MECHANICS AND DESIGN SCIENCE, 2012, 142 :107-+
[45]   Stabilization dynamical (non-linear) systems by using continualisation [J].
Fialová, A .
7TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XIII, PROCEEDINGS: SYSTEMICS, CYBERNETICS AND INFORMATICS: TECHNOLOGIES AND APPLICATIONS, 2003, :335-340
[46]   STABILITY ANALYSIS OF NON-LINEAR PLATES COUPLED WITH DARCY FLOWS [J].
Aulisa, Eugenio ;
Ibragimov, Akif ;
Kaya-Cekin, Emine Yasemen .
EVOLUTION EQUATIONS AND CONTROL THEORY, 2013, 2 (02) :193-232
[47]   Dynamics and Stability of Hopf Bifurcation for One Non-linear System [J].
Hadziabdic, Vahidin ;
Mehuljic, Midhat ;
Bektesevic, Jasmin ;
Masic, Adnan .
TEM JOURNAL-TECHNOLOGY EDUCATION MANAGEMENT INFORMATICS, 2021, 10 (02) :820-824
[48]   On topological entropy of switched linear systems with diagonal, triangular, and general matrices [J].
Yang, Guosong ;
Schmidt, A. James ;
Liberzon, Daniel .
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, :5682-5687
[49]   Stability analysis of non-linear systems with multi-input signals sampled and logarithmic quantised in the framework of hybrid systems [J].
He, Yan ;
Sun, Xi-Ming ;
Wu, Yuhu .
IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (11) :1744-1752
[50]   Impedance control of non-linear multi-DOF teleoperation systems with time delay: absolute stability [J].
Sharifi, Mojtaba ;
Salarieh, Hassan ;
Behzadipour, Saeed ;
Tavakoli, Mahdi .
IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (12) :1722-1729
12345