Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems

2020 ◽  
Vol 132 ◽  
pp. 109493 ◽  
Author(s):  
Abdon Atangana ◽  
Jose Francisco Gomez Aguilar ◽  
Matthew Owolabi Kolade ◽  
Jordan Yankov Hristov
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Dynamical Systems ◽  
Integral Operators ◽  
Nonlinear Dynamical ◽  
Non Local ◽  
Fractional Differential

scholarly journals Integral observability operators of nonlinear dynamical systems

2003 ◽  
Vol 2003 (55) ◽  
pp. 3519-3538
Author(s):  
Yury V. Zaika
Keyword(s):  
Dynamical Systems ◽  
Duality Theory ◽  
Phase State ◽  
Nonlinear Dynamical Systems ◽  
Functional Dependence ◽  
Integral Operators ◽  
Nonlinear Dynamical ◽  
Linear Problems ◽  
And Control ◽  
Nonlinear Observability

In terms of functional dependence, the description of observable functions in nonlinear dynamical systems, which are analytic with respect to phase variables, is obtained. For processing of measurements, integral operators are used, which provide certain noise stability of operation of phase state reconstruction. The analogue of the duality theory known for linear problems of observation and control is developed. Computing schemes for nonlinear observability problem are proposed.

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