Stability of linear delay systems. A note on frequency domain interpretation of Lyapunov-Krasovskii method
نویسنده
چکیده
In this note, we study the problem of asymptotic stability of the delay linear systems. More precisely, we examine the conservativity of a widely-used approach of investigation, based on quadratic Lyapunov-Krasovskii functionals. It is shown that the success of this approach implies strong delay-independent stability of the system under study, but is in general a still stronger condition. Also, a necessary and sufficient condition is given, under which the LyapunovKrasovskii method is not conservative.
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