State space realizations of nonlinear systems defined by input-output differential equations

1988 ◽  
pp. 138-149 ◽  
Author(s):  
P. E. Crouch ◽  
F. Lamnabhi-Lagarrigue
Keyword(s):  
Nonlinear Systems ◽  
Differential Equations ◽  
State Space ◽  
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 ON CLASSICAL STATE SPACE REALIZABILITY OF QUADRATIC INPUT-OUTPUT DIFFERENTIAL EQUATIONS

2007 ◽  
Vol 40 (20) ◽  
pp. 332-337
Author(s):  
ü. Kotta ◽  
P. Kotta ◽  
M. Tõnso ◽  
A.S.I. Zinober
Keyword(s):  
Differential Equations ◽  
State Space ◽  
Input Output ◽  
Classical State

On classical state space realisability of quadratic input–output differential equations

2009 ◽  
Vol 82 (7) ◽  
pp. 1212-1218 ◽  
Author(s):  
Ü. Kotta ◽  
P. Kotta ◽  
M. Tõnso ◽  
A.S.I. Zinober
Keyword(s):  
Differential Equations ◽  
State Space ◽  
Input Output ◽  
Classical State
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