@article{(Open Science Index):https://publications.waset.org/pdf/9999871, title = {Reachable Set Bounding Estimation for Distributed Delay Systems with Disturbances}, author = {Li Xu and Shouming Zhong}, country = {}, institution = {}, abstract = {The reachable set bounding estimation for distributed delay systems with disturbances is a new problem. In this paper,we consider this problem subject to not only time varying delay and polytopic uncertainties but also distributed delay systems which is not studied fully untill now. we can obtain improved non-ellipsoidal reachable set estimation for neural networks with time-varying delay by the maximal Lyapunov-Krasovskii fuctional which is constructed as the pointwise maximum of a family of Lyapunov-Krasovskii fuctionals corresponds to vertexes of uncertain polytope.On the other hand,matrix inequalities containing only one scalar and Matlabs LMI Toolbox is utilized to give a non-ellipsoidal description of the reachable set.finally,numerical examples are given to illustrate the existing results. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {8}, number = {9}, year = {2014}, pages = {1259 - 1263}, ee = {https://publications.waset.org/pdf/9999871}, url = {https://publications.waset.org/vol/93}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 93, 2014}, }