An LMI Approach to H∞ Performance Analysis of Continuous-Time Systems with Two Additive TimeVarying Delays


  • Wrastawa Ridwan School of Electrical Engineering and Informatics, Institute of Technology Bandung, Bandung, Indonesia * Permanent Address: Department of Electrical Engineering, Gorontalo State University, Jl. Jendral Sudirman no.6 Kota Gorontalo, Indonesia
  • Bambang Riyanto Trilaksono School of Electrical Engineering and Informatics, Institute of Technology Bandung, Bandung, Indonesia



This paper investigates the problem of H∞ performance analysis for continous–time systems with two additive time -varying delays in the state. Our objective is focused on stability analysis of a continuous system with two timevarying delays with an H∞ disturbance attenuation level γ. By exploiting Lyapunov-Krasovski functional and introducing free weighting matrix variables, LMI stability condition have been derived.


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