Application of a New Theory of Fuzzy Chaos for the Simulation and Control of NonLinear Dynamical Systems

2003 ◽  
Vol 43 (7) ◽  
pp. 847-865
Author(s):  
Oscar Castillo ◽  
Patricia Melin
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Simulation And Control ◽  
And Control

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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