Stability Analysis via Averaging for Singularly Perturbed Nonlinear Systems with Delays

被引：0

作者：

Yang, Yang ^{[1
]}

Lin, Yuandan ^{[1
]}

Wang, Yuan ^{[1
]}

机构：

[1] Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA

来源：

2016 12TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA) | 2016年

关键词：

TO-STATE STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work we consider stability of singularly perturbed nonlinear systems affected by time-delays. In particular, we consider the case when trajectories of the boundary layer system of such a system converge to a compact set. By combining the averaging method and the Lyapunov-Razumikhin approach, we obtained sufficient conditions for semi-global and practical stability based on conditions of the corresponding boundary layer system and the averaging model of the reduced slow-subsystem.

引用

页码：92 / 97

页数：6

共 50 条

[41] THE SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS
YE Qin(Tongji University
Systems Science and Mathematical Sciences, 1999, (04) : 307 - 312
[42] ON LINEARIZATION OF NONLINEAR SINGULARLY PERTURBED SYSTEMS
KHORASANI, K
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (03) : 256 - 260
[43] Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses
Chen, Wu-Hua
Wei, Dan
Lu, Xiaomei
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (09): : 2678 - 2709
[44] Robust Stability of Singularly Perturbed Impulsive Systems Under Nonlinear Perturbation
Chen, Wu-Hua
Yuan, Guo
Zheng, Wei Xing
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (01) : 168 - 174
[45] ON THE STABILITY BOUNDS OF SINGULARLY PERTURBED SYSTEMS
CHEN, BS
LIN, CL
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (11) : 1265 - 1270
[46] Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
Glizer, Valery Y.
AXIOMS, 2019, 8 (03)
[47] ON THE EXPONENTIAL STABILITY OF SINGULARLY PERTURBED SYSTEMS
CORLESS, M
GLIELMO, L
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (06) : 1338 - 1360
[48] Composite Fast-Slow MPC Design for Nonlinear Singularly Perturbed Systems: Stability Analysis
Chen, Xianzhong
Heidarinejad, Mohsen
Liu, Jinfeng
Christofides, Panagiotis D.
2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 4136 - 4141
[49] ROBUST STABILITY OF SINGULARLY PERTURBED SYSTEMS
SHAO, ZH
SAWAN, ME
INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (06) : 1469 - 1476
[50] Stability of Singularly Perturbed Stochastic Systems
Gorelova, E. Y.
Automation and Remote Control (English translation of Avtomatika i Telemekhanika), 58 (01):

← 1 2 3 4 5 →