一类具有脉冲的细胞神经网络系统解的存在、唯一性和指数稳定性研究

发布时间：2018-09-19 09:07

【摘要】：在本文中,我们使用一些新的条件来刻画如下带有脉冲的细胞神经网络系统(以下简称ICNNs)解的存在、唯一性,以及指数稳定性:本文主要从四个方面来讨论上述方程。首先,我们讨论上述方程反周期解的存在、唯一性,获得了一个新的结果(见第二章)。其次,我们讨论上述方程一般解的存在、唯一性,获得了一个新的结果(见第三章)。然后,我们讨论上述方程解的指数稳定性,获得了一个新的结果(见第四章)。最后,我们给出了两个例子来说明我们的结果是新的(见第五章)。
[Abstract]:In this paper, we use some new conditions to characterize the existence, uniqueness, and exponential stability of the solutions of the following cellular neural networks with impulses (hereinafter referred to as ICNNs): in this paper, we discuss the above equations from four aspects. First, we discuss the existence and uniqueness of counterperiodic solutions for the above equations, and obtain a new result (see Chapter 2). Secondly, we discuss the existence and uniqueness of the general solution of the above equation and obtain a new result (see Chapter 3). Then, we discuss the exponential stability of the solutions of the above equations and obtain a new result (see Chapter 4). Finally, we give two examples to show that our results are new (see Chapter 5).
【学位授予单位】：湘潭大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175

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