A new method of reachable set estimation for time delay systems with polytopic uncertainties

We address the reachable set bounding problem of linear systems subject to both time-varying delay and polytopic uncertainties. A novel criterion is established to give a more accurate description of the set which bounds the states starting from the origin by inputs with peak values. By combining the maximal Lyapunov functional and the reciprocally convex approach, we obtain a tighter reachable set estimation with lower computational complexity. The corresponding reachable set condition for the common Lyapunov functional can be obtained naturally as a special case of the above result. Finally, two examples illustrate the advantages of our proposed method.