Improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

摘要

This paper proposes an innovative method for robust stability analysis of dynamic systems with interval time-varying delay and uncertainties of structural and polytopic types. The innovation of the method includesudemployment of a tighter integral inequality and construction of an appropriate type of Lyapunov function. The stability criteria derived from this method significantly improves and simplifies existing stabilityudconditions obtained through employing the technique with the least number of Linear matrix inequality (LMI) variables. The simplicity of the stability criteria results from the fact that neither any useful terms are ignored in dealing with cross product terms nor any superfluous free weighting matrices are introduced in the theoretical derivation. Numerical examples are givenudto demonstrate the effectiveness of the proposed method.