一類具有脈沖的細胞神經(jīng)網(wǎng)絡(luò)系統(tǒng)解的存在、唯一性和指數(shù)穩(wěn)定性研究
發(fā)布時間:2018-09-19 09:07
【摘要】:在本文中,我們使用一些新的條件來刻畫如下帶有脈沖的細胞神經(jīng)網(wǎng)絡(luò)系統(tǒng)(以下簡稱ICNNs)解的存在、唯一性,以及指數(shù)穩(wěn)定性:本文主要從四個方面來討論上述方程。首先,我們討論上述方程反周期解的存在、唯一性,獲得了一個新的結(jié)果(見第二章)。其次,我們討論上述方程一般解的存在、唯一性,獲得了一個新的結(jié)果(見第三章)。然后,我們討論上述方程解的指數(shù)穩(wěn)定性,獲得了一個新的結(jié)果(見第四章)。最后,我們給出了兩個例子來說明我們的結(jié)果是新的(見第五章)。
[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).
【學(xué)位授予單位】:湘潭大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2017
【分類號】:O175
本文編號:2249682
[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).
【學(xué)位授予單位】:湘潭大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2017
【分類號】:O175
【參考文獻】
相關(guān)碩士學(xué)位論文 前1條
1 高秀芝;關(guān)于脈沖時滯神經(jīng)網(wǎng)絡(luò)穩(wěn)定性研究[D];電子科技大學(xué);2008年
,本文編號:2249682
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