Abstract
The performance of a nominally designed state feedback control for a linear systems is analyzed in the case that the information, available at time t for feedback, consists of a functional of the state over the interval [t−T,t]. Sufficient conditions are given for the stability and asymptotic stability, independent of the matrix valued weight functions on the delay-perturbed state. These sufficient conditions, obtained via the Lyapunov-Krasovskii theory, revolve around the existence of some positive definite matrix functions satisfying certain Riccati-type differential equations. Connections are made with the theory of robust control and its frequency domain criteria. New graphical criteria akin to the Nyquist criterion are derived to obtain the delay perturbation margin.
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© 1998 Springer-Verlag London Limited
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Verriest, E.I. (1998). Graphical test for robust stability with distributed delayed feedback. In: Dugard, L., Verriest, E.I. (eds) Stability and Control of Time-delay Systems. Lecture Notes in Control and Information Sciences, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027483
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DOI: https://doi.org/10.1007/BFb0027483
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