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New results on robust exponential stability of integral delay systems

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  • Daniel Melchor-Aguilar

Abstract

The robust exponential stability of integral delay systems with exponential kernels is investigated. Sufficient delay-dependent robust conditions expressed in terms of linear matrix inequalities and matrix norms are derived by using the Lyapunov–Krasovskii functional approach. The results are combined with a new result on quadratic stabilisability of the state-feedback synthesis problem in order to derive a new linear matrix inequality methodology of designing a robust non-fragile controller for the finite spectrum assignment of input delay systems that guarantees simultaneously a numerically safe implementation and also the robustness to uncertainty in the system matrices and to perturbation in the feedback gain.

Suggested Citation

  • Daniel Melchor-Aguilar, 2016. "New results on robust exponential stability of integral delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1905-1916, June.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1905-1916
    DOI: 10.1080/00207721.2014.958205
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