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Proceedings of the Estonian Academy of Sciences. Physics. Mathematics

2007 2006 Vol. 55, Issue 4 Vol. 55, Issue 3 Vol. 55, Issue 2 Vol. 55, Issue 1 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990

Open Access Journal

Equivalence of realizability conditions for nonlinear control systems; pp. 24–42

PDF | https://doi.org/10.3176/phys.math.2006.1.03

Authors

Ülle Kotta

, Tanel Mullari

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 formulae are provided for calculating 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. The main differences in comparison with the single-input single-output case are clarified.

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