Dr. Xiaodi Li

Associate Professor
Shandong Normal University, China

Highest Degree
Ph.D. in Applied Mathematics from Xiamen University, China

My URL
https://livedna.org/86.5252

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Area of Interest:

Physical Science Engineering
Stability
Impulse
Functional Differential Equations
Applied Mathematics

Selected Publications

  1. Li, X., D. O'Regan and H. Akca, 2015. Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays. IMA J. Applied Math., 80: 85-99.
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  2. Wang, X., X. Li and GT. Stamov, 2014. Stability analysis of impulsive control systems with finite and infinite delays. Scient. World J., Vol. 2014. 10.1155/2014/932395.
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  3. Stamova, I., T. Stamov and X. Li, 2014. Global exponential stability of a class of impulsive cellular neural networks with supremums. Int. J. Adapt. Control Signal Process., 28: 1227-1239.
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  4. Li, X., X. Fu and R. Rakkiyappan, 2014. Delay-dependent stability analysis for a class of dynamical systems with leakage delay and nonlinear perturbations. Applied Math. Comput., 226: 10-19.
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  5. Li, X., Q. Zhu and D. O'Regan, 2014. pth Moment exponential stability of impulsive stochastic functional differential equations and application to control problems of NNs. J. Franklin Inst., 351: 4435-4456.
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  6. Li, X. and X. Fu, 2014. On the global exponential stability of impulsive functional differential equations with infinite delays or finite delays. Commun. Nonlinear Sci. Numerical Simul., 19: 442-447.
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  7. Li, X. and S. Song, 2014. Research on synchronization of chaotic delayed neural networks with stochastic perturbation using impulsive control method. Commun. Nonlinear Sci. Numerical Simul., 19: 3892-3900.
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  8. Liu, C., X. Li and D. O'Regan, 2013. Asymptotically practical stability of impulsive functional differential systems in terms of two measurements. Dynamic Syst. Applic., 22: 621-640.

  9. Lin, D., X. Li and D. O'Regan, 2013. μ-stability of infinite delay functional differential systems with impulsive effects. Applicable Anal., 92: 15-26.
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  10. Li, X., H. Akca and X. Fu, 2013. Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions. Applied Math. Comput., 219: 7329-7337.
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  11. Li, X. and X. Fu, 2013. Effect of leakage time-varying delay on stability of nonlinear differential systems. J. Franklin Inst., 350: 1335-1344.
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  12. Li, X. and S. Song, 2013. Impulsive control for existence, uniqueness and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays. IEEE Trans. Neural Networks, 24: 868-877.
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  13. Li, X. and R. Rakkiyappan, 2013. Stability results for Takagi-Sugeno fuzzy uncertain BAM neural networks with time delays in the leakage term. Neural Comput. Applic., 22: 203-219.
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  14. Li, X. and R. Rakkiyappan, 2013. Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Commun. Nonlinear Sci. Numerical Simul., 18: 1515-1523.
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  15. Fu, X., X. Li and H. Akca, 2013. Exponential state estimation for impulsive neural networks with time delay in the leakage term. Arabian J. Math., 2: 33-49.
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  16. Zhu, Q., F. Xi and X. Li, 2012. Robust exponential stability of stochastically nonlinear jump systems with mixed time delays. J. Optim. Theory Applic., 154: 154-174.
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  17. Zhu, Q. and X. Li, 2012. Exponential and almost sure exponential stability of stochastic fuzzy delayed cohen-grossberg neural networks. Fuzzy Sets Syst., 203: 74-94.
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  18. Wang, L. ans X. Li, 2012. Stability analysis of impulsive delayed switched systems and applications. Math. Methods Applied Sci., 35: 1161-1174.
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  19. Rakkiyappan, R., X. Li and D. O'Regan, 2012. Dynamics of fuzzy impulsive bidirectional associative memory neural networks with time-varying delays. J. Applied Math. Comput., 40: 289-317.
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  20. Lin, D., X. Li and D. O'Regan, 2012. Stability analysis of generalized impulsive functional differential equations. Math. Comput. Model., 55: 1682-1690.
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  21. Li, X., R. Rakkiyappan and C. Pradeep, 2012. Robust μ-stability analysis of markovian switching uncertain stochastic genetic regulatory networks with unbounded time-varying delays. Commun. Nonlinear Sci. Numer. Simul., 17: 3894-3905.
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  22. Li, X., 2012. Further analysis on uniform stability of impulsive infinite delay differential equations. Appl. Math. Lett., 25: 133-137.
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  23. Li, X. and X. Fu, 2012. Lag synchronization of chaotic delayed neural networks via impulsive control. IMA J. Math. Control Info., 29: 133-145.
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  24. Li, X. and R. Rakkiyappan, 2012. Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with markovian jumping parameters. Appl. Math. Modell., 36: 1718-1730.
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  25. Li, X. and M. Bohner, 2012. An impulsive delay differential inequality and applications. Comput. Math. Appl., 64: 1875-1881.
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  26. Zhu, Q., X. Li and X. Yang, 2011. Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays. Applied Math. Comput., 217: 6078-6091.
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  27. Wang, J. and X. Li, 2011. New Razumikhin type stability theorem for impulsive functional differential equations with infinite delays. Anal. Applic., 9: 315-327.
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  28. Li, X., R. Rakkiyappan and P. Balasubramaniam, 2011. Existence and Global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. J. Franklin Inst., 348: 135-155.
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  29. Li, X., P. Balasubramaniam and R. Rakkiyappan, 2011. Stability results for stochastic bidirectional associative memory neural networks with multiple discrete and distributed time-varying delays. Int. J. Comput. Math., 6: 1358-1372.
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  30. Li, X. and X. Fu, 2011. Synchronization of chaotic delayed neural networks with impulsive and stochastic perturbations. Commun. Nonlinear Sci. Numer. Simul., 16: 885-894.
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  31. Li, X. and X. Fu, 2011. Global asymptotic stability of stochastic cohen-grossberg-type BAM neural networks with mixed delays: An LMI approach. J. Comput. Appl. Math., 235: 3385-3394.
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  32. Li, X. and R. Rakkiyappan, 2011. Robust asymptotic state estimation of Takagi-Sugeno fuzzy Markovian jumping Hopfield neural networks with mixed interval time-varying delays. Math. Methods Applied Sci., 34: 2197-2207.
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  33. Fu, X. and X. Li, 2011. LMI conditions for stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays. Commun. Nonlinear Sci. Numerical Simul., 16: 435-454.
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  34. Li, X., X. Fu, P. Balasubramaniam and R. Rakkiyappan, 2010. Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations. Nonlinear Anal. Real World Appl., 11: 4092-4108.
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  35. Li, X., C. Ding and Q. Zhu, 2010. Synchronization of stochastic perturbed chaotic neural networks with mixed delays. J. Franklin Inst., 347: 1266-1280.
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  36. Li, X., 2010. New results on Global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays. Nonlinear Anal. Real World Appl., 11: 4194-4201.
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  37. Li, X., 2010. Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type. Applied Math. Comput., 215: 4370-4384.
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  38. Li, X., 2010. Global exponential stability of delay neural networks with impulsive perturbations. Adv. Dynamical Syst. Applic., 5: 107-122.

  39. Li, X., 2010. Exponential stability of hopfield neural networks with time-varying delays via impulsive control. Math. Methods Appl. Sci., 33: 1596-1604.
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  40. Li, X., 2010. Existence and Global exponential stability of periodic solution for delayed neural networks with impulsive and stochastic effects. Neurocomputing, 73: 749-758.
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  41. Li, X. and X. Fu, 2010. Stability analysis of stochastic functional differential equations with infinite delay and its application to recurrent neural networks. J. Comput. Applied Mathe., 234: 407-417.
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  42. Li, X. and M. Bohner, 2010. Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. Math. Comput. Modell., 52: 643-653.
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  43. Li, X. and J. Shen, 2010. LMI approach for stationary oscillation of interval neural networks with discrete and distributed time-varying delays under impulsive perturbations. IEEE Trans. Neural Networks, 21: 1555-1563.
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  44. Li, X. and J. Cao, 2010. Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Nonlinearity, 23: 1709-1726.
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  45. Li, X., 2009. Uniform asymptotic stability and Global stability of impulsive infinite delay differential equations. Nonlinear Anal. Theory Methods Appl., 70: 1975-1983.
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  46. Li, X., 2009. Impulsive differential inequalities and impulsive integral inequalities with piecewise constant argument. Chin. J. Eng. Math., 26: 558-562.

  47. Li, X., 2009. Global exponential stability for a class of neural networks. Appl. Math. Lett., 22: 1235-1239.
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  48. Li, X., 2009. Exponential stability of cohen-grossberg-type BAM neural networks with time-varying delays via impulsive control. Neurocomputing, 73: 525-530.
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  49. Li, X., 2009. Existence and global exponential stability of periodic solution for impulsive cohen-grossberg-type BAM neural networks with continuously distributed delays. Appl. Math. Comput., 215: 292-307.
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  50. Li, X. and Z. Chen, 2009. Stability properties for hopfield neural networks with delays and impulsive perturbations. Nonlinear Anal. Real World Appl., 10: 3253-3265.
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  51. Li, X. and Q. Xi, 2009. Oscillatory and asymptotic properties of impulsive difference equations with time-varying delays. Int. J. Difference Equations, 4: 201-209.
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  52. Fu, X. and X. Li, 2009. Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems. J. Comput. Appl. Math., 224: 1-10.
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  53. Fu, X. and X. Li, 2009. New results on pulse phenomena for impulsive differential systems with variable moments. Nonlinear Anal. Theory Methods Appl., 71: 2976-2984.
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  54. Fu, X. and X. Li, 2009. Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. J. Comput. Applied Math., 231: 187-199.
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  55. Li, X., 2008. Oscillation of a kind of impulsive differential equations of mixed type with constant argument. Mathematica Applicata, 21: 404-410.
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  56. Li, X., 2008. Impulsive stabilization of certain delay differential equations with piecewise constant argument. Int. J. Difference Equations, 3: 267-276.
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  57. Fu, X. and X. Li, 2008. W-stability theorems of nonlinear impulsive functional differential systems. J. Comput. Applied Math., 221: 33-46.
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  58. Fu, X. and X. Li, 2008. Oscillation of higher order impulsive differential equations of mixed type with constant argument at fixed time. Math. Comput. Modell., 48: 776-786.
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  59. Li, X., 2007. Oscillation properties of higher order impulsive delay differential equations. Int. J. Difference Equations, 2: 209-219.
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Member since January, 2013