Multicriteria Optimization of Dynamic Control Systems

In Chapter 3, the problem and special assumptions to the problem are considered. Method of solving “Basic” problem and discussion of the method are given. Schemes of compromises are reviewed. Nonlinear scheme of compromises with respect to dynamic systems is proposed. Discussion of nonlinear scheme is given.

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Mourad Kerboua ◽  
Amar Debbouche ◽  
Dumitru Baleanu

We study a class of fractional stochastic dynamic control systems of Sobolev type in Hilbert spaces. We use fixed point technique, fractional calculus, stochastic analysis, and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions for approximate controllability is formulated and proved. An example is also given to provide the obtained theory.


2020 ◽  
Vol 24 (4) ◽  
pp. 19-26
Author(s):  
Krzysztof Oprzędkiewicz ◽  
Maciej Rosół ◽  
Jakub Żegleń-Włodarczyk

The paper presents the implementation of the basic fractional order element sγ on the STM32 microcontroller platform. The implementation employs the typical CFE and FOBD approximations, the accuracy of approximation as well as duration of calculations are experimentally tested. Microcontroller implementation of fractional order elements is known; however, real-time tests of such implementations have been not presented yet. Results of experiments show that both methods can be implemented at the considered platform. The FOBD approximation is more accurate, but the CFE one is faster. The presented experimental results prove that the STM32F7 family processor could be used to develop the embedded fractional-order control systems for a broad class of linear and nonlinear dynamic systems. This is crucial during the implementation of the fractional-order control in the hard real-time or embedded systems.


1963 ◽  
Vol 2 (2) ◽  
pp. 81-89 ◽  
Author(s):  
C. A. Jones ◽  
E. F. Johnson ◽  
Leon Lapidus ◽  
R. H. Wilhelm

2018 ◽  
Author(s):  
Nina Nikolaevna Subbotina ◽  
Evgeniy Aleksandrovitch Krupennikov

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