EQUIVALENCE OF DIFFERENT REALIZABILITY CONDITIONS FOR NONLINEAR MIMO DIFFERENTIAL EQUATIONS

摘要

The relationship between three state space realizability conditions for nonlinear multi-input multi-output di?erential equations, formulated in terms of di?erent mathematical tools, is studied. Moreover, explicit formulas are provided for calculation of the di?erentials of the state coordinates which, in case the necessary and sufficient realizability conditions are satisfied, can be integrated to obtain the state coordinates.