DOI Number : 10.5614/itbj.eng.sci.2011.43.2.4
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An LMI Approach to H∞ Performance Analysis of Continous-Time System with Two Additive Time-Varying Delays

Wrastawa Ridwan*, Bambang Riyanto Trilaksono

School of Electrical Engineering and Informatics,
Institute of Technology Bandung, Bandung, Indonesia

Abstract. 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 time-varying 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.

Keywords: H∞ performance analysis, Linear Matrix Inequality (LMI), time delay systems

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