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Robustness of an analog dynamic memory system to a class of information transmission channels perturbations. (English) Zbl 1030.94052

Summary: ADDAMS System Inc. (1990-1993) suggested a memory system using a simple feedback loop circuit for an analog signal. The circuit includes a time-delay element with no gain. If the perturbations and noises can be neglected, then this circuit is capable of permanently storing a signal, whose time duration is shorter than the time-delay function in this loop. In this paper, we shall discuss the stability of the signal and the role of perturbations in the feedback system.

MSC:

94C05 Analytic circuit theory
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
93D09 Robust stability
93C15 Control/observation systems governed by ordinary differential equations