2005
DOI: 10.1016/j.physleta.2005.01.008
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Global exponential stability of periodic solution for shunting inhibitory CNNs with delays

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Cited by 71 publications
(35 citation statements)
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“…By applying techniques similar to those in [15], we establish new sufficient conditions ensuring the existence, uniqueness and exponential stability of anti-periodic solutions of system (1.1). Our results not only can be applied directly to many concrete examples of SICNNs, but also extend, to a certain extent, the results in [1][2][3][4][5][6][7][8][9]. Moreover, an example is provided to illustrate the effectiveness of our results.…”
Section: Introductionsupporting
confidence: 66%
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“…By applying techniques similar to those in [15], we establish new sufficient conditions ensuring the existence, uniqueness and exponential stability of anti-periodic solutions of system (1.1). Our results not only can be applied directly to many concrete examples of SICNNs, but also extend, to a certain extent, the results in [1][2][3][4][5][6][7][8][9]. Moreover, an example is provided to illustrate the effectiveness of our results.…”
Section: Introductionsupporting
confidence: 66%
“…Remark 4.1 One can observe thatall the results in [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and the references therein can not be applicable to system (4.1) to obtain the existence and exponential stability of the anti-periodic solutions. Moreover, the results in [15] is the special case of Theorem 3.1 with a i j (t) ≡ a i j and C i j (t) ≡ C kl i j .…”
Section: An Examplementioning
confidence: 99%
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“…In particular, there have been extensive results on the problem of the existence and stability of the equilibrium points, and periodic and almost periodic solutions of SICNNs with time-varying delays in the literature. We refer the reader to [4][5][6][7] and the references cited therein. Suppose that there exists a constant τ such that…”
Section: Introductionmentioning
confidence: 99%
“…For significance of almost periodicity, one also can refer to [8,11,23,24,27]. Li [13] obtained several sufficient conditions to ensure the global exponential stability of almost periodic solutions or periodic solutions for the delayed SICNNs. The criteria for the stability of almost periodic solutions of the SICNNs with distributed delays were given in [17,18,30].…”
Section: Introductionmentioning
confidence: 99%