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Stability of linear systems with time-varying delay : a generalized discretized Lyapunov functional approach
journal contributionposted on 06.12.2017, 00:00 by Qing-Long HanQing-Long Han, K Gu
This paper investigates the stability of linear uncertain systems with time-varying delay. Stability criteria are derived based on a generalized discretized Lyapunov functional approach. The kernel of the functional, which is a function of two variables, is chosen as piecewise linear. The stability conditions are written in the form of linear matrix inequalities. Numerical examples indicate significant improvements over the existing results.