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An approach to the problem of stabilizing systems with delay. (English. Russian original) Zbl 0890.93073
J. Appl. Math. Mech. 60, No. 4, 529-539 (1996); translation from Prikl. Mat. Mekh. 60, No. 4, 531-541 (1996).
Servo systems describable by linear ODE’s with constant delay are considered. The problem consists of designing a linear feedback network with delay (the controller) to render the system stable. Stability corresponds to the real parts of all eigenvalues being negative. The type of feedback network and the “free parameters” are chosen accordingly. The Wiener-Paley theorem on non-quasianalytic functions and its implications on the frequency response are used to exclude networks which are non-realizable (within the framework of linear theory).
The publication is of interest mainly to ‘system engineers’.

93D15 Stabilization of systems by feedback
34K35 Control problems for functional-differential equations
Full Text: DOI
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