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Criteria for the functional controllability and invertibility of non-linear systems
Institution:1. Institute of Automation, Qufu Normal University, Qufu, Shandong 273165, PR China;2. Department of Systems Naval Mechatronic Engineering, National Cheng Kung University, Tainan, Taiwan;3. College of Engineering, Qufu Normal University, Rizhao, Shandong 276826, PR China
Abstract:In the development of investigations on inverse problems 1, 2], criteria for the functional controllability and invertibility of non-linear systems of equations with an output are obtained. The solution is based on the construction of an inverse system for which the input action of the initial system is the output. An identification problem is considered which corresponds to the problem of invertibility with an unknown initial state. The properties of λ-invertibility and λ-identifiability, which arise in cases when the output signal is known in a set of trajectories, are investigated.
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