Sample controllability of impulsive differential systems with random coefficients

References

• Arthi, G., & Balachandran, K. (2014). Controllability of second-order impulsive evolution systems with infinite delay. Nonlinear Analysis: Hybrid Systems, 11, 139–153.
   Web of Science ®Google Scholar
• Balachandran, K., & Kim, J.H. (2010). Sample controllability of nonlinear stochastic integrodifferential systems. Nonlinear Analysis: Hybrid Systems, 4(3), 543–549.
   Web of Science ®Google Scholar
• Bharucha-Reid, A.T. (1972). Random integral equations. New York, NY: Academic press.
   Google Scholar
• Charrier, J. (2012). Strong and weak error estimates for elliptic partial differential equations with random coefficients. SIAM Journal on Numerical Analysis, 50(1), 216–246.
   Web of Science ®Google Scholar
• Chen, H., & Sun, J.. (2013). A new approach for global controllability of higher order Boolean control network.. Neural Networks, 39, 12–17.
   PubMed Web of Science ®Google Scholar
• Chen, W.H., Li, D.X., & Lu, X. (2013). Impulsive observers with variable update intervals for Lipschitz nonlinear time-delay systems. International Journal of Systems Science, 44(10), 1934–1947.
   Web of Science ®Google Scholar
• Cortes, J.C., Jodar, L., Company, R., & Villafuerte, L. (2011). Solving Riccati time-dependent models with random quadratic coefficients. Applied Mathematics Letters, 24(12), 2193–2196.
   Web of Science ®Google Scholar
• Csoergo, S., & Hatvani, L. (2010). Stability properties of solutions of linear second order differential equations with random coefficients. Journal of Differential Equations, 248(1), 21–49.
   Web of Science ®Google Scholar
• Dauer, J.P., & Balachandran, K. (1997). Sample controllability of general nonlinear stochastic systems. Libertas Mathematica, 17, 143–153.
   Google Scholar
• Faria, T., Gadotti, M.C., & Oliveira, J.J. (2012). Stability results for impulsive functional differential equations with infinite delay. Nonlinear Analysis: Theory, Methods & Applications, 75(18), 6570–6587.
   Web of Science ®Google Scholar
• Federson, M., & Mesquita, J. (2013). Non-periodic averaging principles for measure functional differential equations and functional dynamic equations on time scales involving impulses. Journal of Differential Equations, 255(10), 3098–3126.
   Web of Science ®Google Scholar
• Gonzalez-Parra, G., Chen-Charpentier, B., & Arenas, A.J. (2014). Polynomial chaos for random fractional order differential equations. Applied Mathematics and Computation, 226, 123–130.
   Web of Science ®Google Scholar
• Hu, J., Wang, Z., & Gao, H. (2013). Recursive filtering with random parameter matrices, multiple fading measurements and correlated noises. Automatica, 49(11), 3440–3448.
   Web of Science ®Google Scholar
• Itoh, S. (1979). Random fixed point theorems with an application to random differential equations in Banach spaces. Journal of Mathematical Analysis and Applications, 67, 261–273.
   Web of Science ®Google Scholar
• Karthikeyan, S., & Balachandran, K. (2013). On controllability for a class of stochastic impulsive systems with delays in control. International Journal of Systems Science, 44(1), 67–76.
   Web of Science ®Google Scholar
• Ladde, G.S., & Lakshmikantham, V. (1980). Random differential inequalities. New York, NY: Academic Press.
   Google Scholar
• Lakshmikantham, V., Bainov, D.D., & Simeonov, P.S. (1989). Theory of impulsive differential equations. Singapore: World Scientific.
   Google Scholar
• Li, C., Sun, J., & Sun, R. (2010). Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects. Journal of The Franklin Institute-Engineering and Applied Mathematics, 347(7), 1186–1198.
   Web of Science ®Google Scholar
• Malinowski, M.T. (2009). On random fuzzy differential equations. Fuzzy Sets and Systems, 160(21), 3152–3165.
   Web of Science ®Google Scholar
• Park, J.Y., & Jeong, J.U. (2013). On random fuzzy functional differential equations. Fuzzy Sets and Systems, 223(21), 89–99.
   Web of Science ®Google Scholar
• Ravichandran, C., & Baleanu, D. (2013). On the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces. Advances in Difference Equations, 2013(291), 1–13. doi:10.1186/1687-1847-2013-291
   Web of Science ®Google Scholar
• Ren, Y., Dai, H., & Sakthivel, R. (2013). Approximate controllability of stochastic differential systems driven by a Lévy process. International Journal of Control, 86(6), 1158–1164.
   Web of Science ®Google Scholar
• Sadovskii, B.N. (1967). A fixed-point principle. Funktsional'nyi Analiz i ego Prilozheniya, 1(2), 74–76.
   Google Scholar
• Shen, J., & Liu, X. (2006). Global existence results for impulsive differential equations. Journal of Mathematical Analysis and Applications, 314(2), 546–557.
   Web of Science ®Google Scholar
• Shen, L., Shi, J., & Sun, J. (2010). Complete controllability of impulsive stochastic integro-differential systems. Automatica, 46(6), 1068–1073.
   Web of Science ®Google Scholar
• Shen, L., & Sun, J. (2012). Approximate controllability of stochastic impulsive functional systems with infinite delay. Automatica, 48(10), 2705–2709.
   Web of Science ®Google Scholar
• Shen, Y., Meng, Q., & Shi, P. (2014). Maximum principle for mean-field jump-diffusion stochastic delay differential equations and its application to finance. Automatica, 50(6), 1565–1579.
   Web of Science ®Google Scholar
• Stamova, I. (2014). Global stability of impulsive fractional differential equations. Applied Mathematics and Computation, 237, 605–612.
   Web of Science ®Google Scholar
• Suo, J., & Sun, J. (2014). Asymptotic stability of differential systems with impulsive effects suffered by logic choice. Automatica. Advance online publication. doi:10.1016/j.automatica.2014.10.090
   Google Scholar
• Yang, S., Shi, B., & Zhang, Q. (2012). Complete controllability of nonlinear stochastic impulsive functional systems. Applied Mathematics and Computation, 218(9), 5543–5551.
   Web of Science ®Google Scholar
• Zamani, M., & Abate, A. (2014). Approximately bisimilar symbolic models for randomly switched stochastic systems. Systems & Control Letters, 69(1), 38–46.
   Web of Science ®Google Scholar
• Zhang, S., Wang, Z., Ding, D., & Shu, H. (2014a). Fuzzy filtering with randomly occurring parameter uncertainties, interval delays, and channel fadings. IEEE Transactions on Cybernetics, 44(3), 406–417.
   PubMed Web of Science ®Google Scholar
• Zhang, S., Wang, Z., Ding, D., & Shu, H. (2014b). H∞ fuzzy control with randomly occurring infinite distributed delays and channel fadings. IEEE Transactions on Fuzzy Systems, 22(1), 189–200.
   Web of Science ®Google Scholar
• Zhao, X., & Deng, F. (2014). New-type stability theorem for stochastic functional differential equations with application to SFDSs with distributed delays. International Journal of Systems Science, 45(5), 1156–1169.
   Web of Science ®Google Scholar