Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory

作者：Zhang, Yutian^*; Guan, Yuanhong

来源：Abstract and Applied Analysis, 2013, 2013: 427827.

DOI：10.1155/2013/427827

• PARTIAL-DIFFERENTIAL-EQUATIONS
• GLOBAL EXPONENTIAL STABILITY
• HARDY-POINCARE INEQUALITY
• REACTION-DIFFUSION TERMS
• TIME-VARYING DELAYS
• VARIABLE DELAYS

We employ the new method of fixed point theory to study the stability of a class of impulsive cellular neural networks with infinite delays. Some novel and concise sufficient conditions are presented ensuring the existence and uniqueness of solution and the asymptotic stability of trivial equilibriumat the same time. These conditions are easily checked and do not require the boundedness and differentiability of delays.

• 出版日期2013
• 单位南京信息工程大学