Equivalence of Different Realizability Conditions for Nonlinear MIMO Differential Equations

Authors:	Kotta Ulle, Institute of Cybernetics at TUT, Estonia Mullari Tanel, Institute of Cybernetics at TUT, Estonia
Topic:	2.3 Non-Linear Control Systems
Session:	Structural Properties of Nonlinear Systems
Keywords:	Nonlinear control systems, Differential input-output equations, State space realization, Algebraic approaches, Geometric approaches

Abstract

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