Skip Nav Destination
ASME Press Select Proceedings
International Symposium on Information Engineering and Electronic Commerce, 3rd (IEEC 2011)
Editor
C. B. Povloviq ,
C. B. Povloviq
National Technical University of Ukraine
Search for other works by this author on:
C. W. Lu
C. W. Lu
Huangshi Institute of Technology
Search for other works by this author on:
ISBN:
9780791859759
No. of Pages:
562
Publisher:
ASME Press
Publication date:
2011
eBook Chapter
35 Stability of a Class of Nonlinear Stochastic Large-Scale Systems with Time Delay
By
Jizhong Shi
,
Jizhong Shi
National Traction Power Laboratory,
Southwest Jiaotong University
, Chengdu,
China
, 610031
Search for other works by this author on:
Jiye Zhang
,
Jiye Zhang
National Traction Power Laboratory,
Southwest Jiaotong University
, Chengdu,
China
, 610031
Search for other works by this author on:
Pengyun Song
,
Pengyun Song
National Traction Power Laboratory,
Southwest Jiaotong University
, Chengdu,
China
, 610031
Search for other works by this author on:
Yanqiu Chen
Yanqiu Chen
National Traction Power Laboratory,
Southwest Jiaotong University
, Chengdu,
China
, 610031
Search for other works by this author on:
Page Count:
4
-
Published:2011
Citation
Shi, J, Zhang, J, Song, P, & Chen, Y. "Stability of a Class of Nonlinear Stochastic Large-Scale Systems with Time Delay." International Symposium on Information Engineering and Electronic Commerce, 3rd (IEEC 2011). Ed. Povloviq, CB, & Lu, CW. ASME Press, 2011.
Download citation file:
The global exponential stability of a class of stochastic nonlinear interconnected large-scale systems with time delay was analyzed based on M-matrix theory, by constructing a vector V function. A criterion was obtained for global exponential stability of the systems by analyzing the stability of differential inequalities. It is concluded that a large-scale system with time delay is described as global exponential stable if the test matrix is an M-matrix, where the test matrix is constructed by employing the coefficient matrices of the system and the solutions of the Lyapunov equations which are interconnected with the system. Since the calculation is simplified, the criterion is easy for application.
Abstract
Keywords
Introduction
Notation and Prelimainaries
Main Results
Exmple
Conclusion
Acknowledgment
References
This content is only available via PDF.
You do not currently have access to this chapter.
Email alerts
Related Chapters
Challenges in biomacromolecular delivery
Biocompatible Nanomaterials for Targeted and Controlled Delivery of Biomacromolecules
Stability for a Class of Infinite Dimension Stochastic Systems with Delay
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Dynamic Behavior in a Singular Delayed Bioeconomic Model
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
A Design Method for State Observers for Time-Delay Plants
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17
Related Articles
Stability Analysis of LTI Systems With Three Independent Delays—A Computationally Efficient Procedure
J. Dyn. Sys., Meas., Control (September,2009)
First Order Controller for Time Delay System
J. Dyn. Sys., Meas., Control (September,2011)
Stability and Hopf Bifurcation of Nearest-Neighbor Coupled Neural Networks With Delays
J. Comput. Nonlinear Dynam (November,2020)