Realization of nonlinear systems described by input/output differential equations: Equivalence of different methods

2003 ◽  
Author(s):  
U. Kotta ◽  
T. Mullari
Keyword(s):  
Nonlinear Systems ◽  
Differential Equations ◽  
Input Output

Functional Representation of Nonlinear Systems, Interpolation and Lagrange Expansion for Functionals

1966 ◽  
Vol 88 (2) ◽  
pp. 429-436 ◽  
Author(s):  
D. Gorman ◽  
J. Zaborszky
Keyword(s):  
Nonlinear Systems ◽  
Differential Equations ◽  
Initial Conditions ◽  
Analytic Representation ◽  
Input Output ◽  
The Third ◽  
Functional Representation ◽  
Lagrange Expansion ◽  
Functional Representations ◽  
Measured Input

The paper consists principally of three parts. In the first, an original analytic representation is introduced for systems where differential equations are available. In the second, the structure of the functional is analyzed with nonzero initial conditions. The third introduces functional representations for systems described by past measured input-output records.

scholarly journals The Ermakov equation: A commentary

2008 ◽  
Vol 2 (2) ◽  
pp. 146-157 ◽  
Author(s):  
P.G.L. Leach ◽  
S.K. Andriopoulos
Keyword(s):  
Nonlinear Systems ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
English Translation ◽  
Singularity Theory ◽  
Discrete Math ◽  
Previous Article ◽  
Short History ◽  
History Of ◽  
Modern Context

We present a short history of the Ermakov equation with an emphasis on its discovery by thewest and the subsequent boost to research into invariants for nonlinear systems although recognizing some of the significant developments in the east. We present the modern context of the Ermakov equation in the algebraic and singularity theory of ordinary differential equations and applications to more divers fields. The reader is referred to the previous article (Appl. Anal. Discrete math., 2 (2008), 123-145) for an english translation of Ermakov's original paper.

Passivity of nonlinear systems with input-output feedthrough

Automatica ◽  
1997 ◽  
Vol 33 (4) ◽  
pp. 693-697 ◽  
Author(s):  
G.L. Santosuosso
Keyword(s):  
Nonlinear Systems ◽  
Input Output
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