Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/global-power-stability-of-neural-networks-with-impulses-and-CigfkmvFZ3
References (46)
-
Changjin Xu, Peiluan Li, Yicheng Pang (2016)
Global exponential stability for interval general bidirectional associative memory (BAM) neural networks with proportional delaysMathematical Methods in the Applied Sciences, 39
-
G. Velmurugan, R. Rakkiyappan, Jinde Cao, Jinde Cao (2015)
Further analysis of global μ-stability of complex-valued neural networks with unbounded time-varying delaysNeural networks : the official journal of the International Neural Network Society, 67
-
Gaige Wang, Lihong Guo, Heqi Wang, Hong Duan, Luo Liu, Jiang Li (2014)
Incorporating mutation scheme into krill herd algorithm for global numerical optimizationNeural Computing and Applications, 24
-
P. Balasubramaniam, Vembarasan Vaitheeswaran, R. Rakkiyappan (2012)
Global robust asymptotic stability analysis of uncertain switched Hopfield neural networks with time delay in the leakage termNeural Computing and Applications, 21
-
Kaizhong Guan, Zhiwei Luo (2013)
Stability results for impulsive pantograph equationsAppl. Math. Lett., 26
-
C. Bai (2010)
New results concerning exponential stability of delayed neural networks with impulses2010 Sixth International Conference on Natural Computation, 1
-
Xiaodi Li, Xilin Fu, P. Balasubramaniam, R. Rakkiyappan (2010)
Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbationsNonlinear Analysis-real World Applications, 11
-
I. Stamova, R. Ilarionov, Rositsa Vaneva (2010)
Impulsive control for a class of neural networks with bounded and unbounded delaysAppl. Math. Comput., 216
-
Liqun Zhou (2015)
Novel global exponential stability criteria for hybrid BAM neural networks with proportional delaysNeurocomputing, 161
-
Xiaodi Li, R. Rakkiyappan (2013)
Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delaysCommun. Nonlinear Sci. Numer. Simul., 18
-
L. Fox, D. Mayers, J. Ockendon, A. Tayler (1971)
On a Functional Differential EquationIma Journal of Applied Mathematics, 8
-
Yurong Liu, Zidong Wang, Xiaohui Liu (2008)
On synchronization of coupled neural networks with discrete and unbounded distributed delaysInternational Journal of Computer Mathematics, 85
-
P. Balasubramaniam, M. Kalpana, R. Rakkiyappan (2011)
Existence and Global Asymptotic Stability of Fuzzy Cellular Neural Networks with Time Delay in the Leakage Term and Unbounded Distributed DelaysCircuits, Systems, and Signal Processing, 30
-
I. Stamova, G. Stamov (2011)
Impulsive control on global asymptotic stability for a class of impulsive bidirectional associative memory neural networks with distributed delaysMath. Comput. Model., 53
-
Xiaodi Li, Shiji Song (2017)
Stabilization of Delay Systems: Delay-Dependent Impulsive ControlIEEE Transactions on Automatic Control, 62
-
A. Blaquiére (1966)
Nonlinear System Analysis -
Liqun Zhou, Xiubo Chen, Yixian Yang (2014)
Asymptotic stability of cellular neural networks with multiple proportional delaysAppl. Math. Comput., 229
-
L Fox, DF Mayers, JR Ockendon, AB Taylor (1971)
On a functional differential equationJ. Inst. Math. Appl., 8
-
Jun Shen, J. Lam (2017)
On the Decay Rate of Discrete-Time Linear Delay Systems With Cone InvarianceIEEE Transactions on Automatic Control, 62
-
Liqun Zhou (2014)
Global asymptotic stability of cellular neural networks with proportional delaysNonlinear Dynamics, 77
-
(2012)
Energy efficientQoS routing inmulti-sinkwirelessmultimedia sensor networks -
C Huang, J Cao (2009)
Almost sure exponential of stochastic cellular neural networks with unbounded distributed delaysNeurocomputing, 72
-
Shair Ahmad, I. Stamova (2008)
Global exponential stability for impulsive cellular neural networks with time-varying delaysNonlinear Analysis-theory Methods & Applications, 69
-
Bo Liu, Wenlian Lu, Tianping Chen (2011)
Generalized Halanay Inequalities and Their Applications to Neural Networks With Unbounded Time-Varying DelaysIEEE Transactions on Neural Networks, 22
-
Liqun Zhou (2012)
Delay-Dependent Exponential Stability of Cellular Neural Networks with Multi-Proportional DelaysNeural Processing Letters, 38
-
(2001)
Impulsive System and Control: Theory and Application -
Huaguang Zhang, Zhanshan Wang (2007)
Global Asymptotic Stability of Delayed Cellular Neural NetworksIEEE Transactions on Neural Networks, 18
-
C. Dovrolis, D. Stiliadis, P. Ramanathan (1999)
Proportional differentiated services: delay differentiation and packet scheduling -
IM Stamova, R Ilarionov (2010)
On global exponential stability of impulsive cellular neural networks with time-varying delaysComput. Math. Appl., 59
-
J. Kato (1980)
Stability in functional differential equations -
R Rakkiyappan, P Balasubramaiam, J Cao (2010)
Global exponential stability of neutral-type impulsive neural networksNonlinear Anal. Real World Appl., 11
-
Liqun Zhou (2015)
Delay-Dependent Exponential Synchronization of Recurrent Neural Networks with Multiple Proportional DelaysNeural Processing Letters, 42
-
J. Ockendon, A. Tayler (1971)
The dynamics of a current collection system for an electric locomotiveProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 322
-
Xiaodi Li, Jianhong Wu (2016)
Stability of nonlinear differential systems with state-dependent delayed impulsesAutom., 64
-
Liqun Zhou, Yanyan Zhang (2015)
Global exponential stability of cellular neural networks with multi-proportional delaysInternational Journal of Biomathematics, 08
-
Qinghua Zhou (2009)
Global exponential stability of BAM neural networks with distributed delays and impulsesNonlinear Analysis-real World Applications, 10
-
S. Kulkarni, Reema Sharma, Ishani Mishra (2012)
New QOS Routing Algorithm for MPLS Networks Using Delay and Bandwidth Constraints -
Vimal Singh (2007)
On global exponential stability of delayed cellular neural networksChaos Solitons & Fractals, 33
-
Xiaodi Li, Jinde Cao (2017)
An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and ApplicationsIEEE Transactions on Automatic Control, 62
-
Chengde Zheng, Yan Wang, Zhanshan Wang (2014)
Global Stability of Fuzzy Cellular Neural Networks with Mixed Delays and Leakage Delay Under Impulsive PerturbationsCircuits, Systems, and Signal Processing, 33
-
Aiping Zhang (2015)
New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage DelaysNeural Processing Letters, 41
-
C Bai (2011)
New results concerning the exponential stability of delayed neural networks with impulsesComput. Math. Appl., 62
-
X Song, P Zhao, Z Xing, J Peng (2016)
Global asymptotic stability of CNNs with impulses and multi-proportional delaysMath. Methods Appl. Sci., 39
-
S Arik, V Tavanoglu (2000)
On the global asymptotic stability of delayed cellular neural networksIEEE Trans. Circuits Syst., I
-
H Akca, J Benbourenane, V Covachev (2014)
Global exponential stability of impulsive Cohen–Grossberg-type BAM neural networks with time-varying and distributed delaysInt. J. Appl. Phys. Math., 4
-
H. Antosiewicz, A. Halanay (1967)
Differential Equations: Stability, Oscillations, Time LagsMathematics of Computation, 21
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-018-0600-6
- Publisher site
- See Article on Publisher Site
Abstract
By establishing two new impulsive delay differential inequalities from impulsive perturbation and impulsive control point of view, respectively, constructing some Lyapunov functionals, and employing the matrix measure approach, some novel and sufficient conditions are obtained to guarantee global power stability of neural networks with impulses and proportional delays. The obtained stability criteria are dependent on impulses and the proportional delay factor so that it is convenient to derive some feasible impulsive control laws according to the proportional delay factor allowed by such neural networks. It is shown that impulses can act as stabilizers to globally power stabilize an unstable neural network with proportional delay based on suitable impulsive control laws. Moreover, the power convergence rate can be estimated and obtained by simple computation. Three numerical examples are given to illustrate the effectiveness and advantages of the results obtained.
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Jan 16, 2018