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Further Results on the Input-to-State Stability of a Linear Disturbed System with Control Delay

Author

Listed:
  • Daniela Enciu

    (National Institute for Aerospace Research “Elie Carafoli”—INCAS Bucharest, 061126 Bucharest, Romania)

  • Adrian Toader

    (National Institute for Aerospace Research “Elie Carafoli”—INCAS Bucharest, 061126 Bucharest, Romania)

  • Ioan Ursu

    (National Institute for Aerospace Research “Elie Carafoli”—INCAS Bucharest, 061126 Bucharest, Romania)

Abstract

In this paper, a theorem is obtained that gives sufficient input-to-state stability conditions for linear systems with control delay and additive disturbances. Stabilizing feedback is considered available in the absence of delay and disturbances. The mathematical tools are the Lyapunov–Krasovskii functional, the Jensen inequality and the double Hadamard inequality. The critical delay is highlighted.

Suggested Citation

  • Daniela Enciu & Adrian Toader & Ioan Ursu, 2024. "Further Results on the Input-to-State Stability of a Linear Disturbed System with Control Delay," Mathematics, MDPI, vol. 12(5), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:5:p:634-:d:1343125
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