Partial state bounding with a pre-specified time of non-linear discrete systems with time-varying delays

Partial state bounding with a pre-specified time of non-linear discrete systems with time-varying delays

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In this study, the authors address a new problem of finding, with a pre-specified time, bounds of partial states of non-linear discrete systems with a time-varying delay. A novel computational method for deriving the smallest bounds is presented. The method is based on a new comparison principle, a new algorithm for finding the infimum of a fractal function, and linear programming. The effectiveness of our obtained results is illustrated through a numerical example.


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