Technical communique: Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances

Authors:
Jin-Hoon Kim
Affiliations:
School of Electrical and Computer Engineering, Chungbuk National University, Cheong-ju, Chungbuk 361-763, Republic of Korea
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 3
Cited 3

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Abstract

We consider the problem of finding an ellipsoidal reachable set that bounds the states of time-delayed linear systems with bounded peak disturbances. The considered time-delay is time-varying but it has an upper bound in magnitude and rate. Based on the modified Lyapunov-Krasovskii(L-K) type functional, we derive a delay-dependent result expressed in the form of matrix inequalities containing only one non-convex scalar. The result is extended to uncertain time-delayed linear systems. Finally, we show the usefulness of our result by a comparative numerical example.