State bounding estimation for a linear continuous-time singular system with time-varying delay

Abstract

Abstract This paper investigates the problem of a state bounding estimation for a linear continuous-time singular system with time-varying delay. By employing the maximal Lyapunov–Krasovskii functional and applying the new free-matrix-based integral inequality, some proper conditions are derived in terms of LMIs and a bounding estimation lemma and set are obtained for the studied singular system.

Keywords

• State bounding estimation
• Time delays
• Singular system