The Memorandum supposes a system undergoing a process which can be described by the differential equation dx/dt = g (x, t). On the time interval (O, T) the function x is observed, in a noisy manner, and this experimental function is denoted by the symbol y. Many problems of orbit determination and adaptive control are of this type. The study suggests a solution, in both the scalar and vector cases, which makes use of certain ideas from the theory of invariant imbedding. Some numerical examples are also provided.
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