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

Daniela Enciu, Adrian Toader and Ioan Ursu ()
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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

Mathematics, 2024, vol. 12, issue 5, 1-14

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.

Keywords: control delay; input-to-state-stability; Lyapunov–Krasovskii functionals; linear disturbed systems; critical delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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