CRITERIA FOR THE FUNCTIONAL CONTROLLABILITY AND INVERTIBILITY OF NONLINEAR-SYSTEMS

In the development of investigations on inverse problems [1, 2], crite ria for the functional controllability and invertibility of nonlinear systems of equations with an output are obtained. The solution is base d on the construction of an inverse system for which the input action of the initial system is the output. An identification problem is cons idered which corresponds to the problem of invertibility with an unkno wn initial state. The properties of lambda-invertibility and lambda-id entifiability, which arise in cases when the output signal is known in a set of trajectories, are investigated. (C) 1998 Elsevier Science Lt d. All rights reserved.