Abstract
A tracking concept in the Liapunov sense is introduced and various tracking features are discovered and defined. General qualitative tracking conditions and algorithms for tracking control synthesis are established. These topics are realized for both continuous-time and discrete-time non-stationary non-linear systems subject to unknown unmeasurable time-varying inputs. Such a realization is achieved via both the output-space and the state- -space of the system to be controlled or already controlled. The paper is purely theoretical with results practically directly applicable.

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