Article

Journal of Engineering Research

, 4:16

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

New delay dependent stability criterion for linear system with time varying delay using Wirtinger’s inequality

  • Rama Koteswara Rao AllaAffiliated withDepartment of Electrical Engineering, National Institute of Technology, Kurukshetra Email author 
  • , Jagdeep Singh LatherAffiliated withDepartment of Electrical Engineering, National Institute of Technology, Kurukshetra
  • , Gobind Lal PahujaAffiliated withDepartment of Electrical Engineering, National Institute of Technology, Kurukshetra

Abstract

A new delay dependent stability criterion has been proposed based on Wirtinger’s inequality, for linear systems incorporating time varying delays. By use of Wirtinger’s inequality and suitably chosen Lyapunov-Krasovskii functional, the proposed result has been derived in terms of Linear Matrix Inequalities (LMIs). The application of the proposed stability criterion provides less conservative estimate of system stability in terms of improved allowable upper delay bounds. The efficacy and reduced conservatism of the proposed criterion has been investigated and has been shown superior to existing results.

Keywords:

Linear matrix inequalities (LMIs) linear systems stability time-varying delay Wirtinger’s inequality