Function Definition Language FDL and its implementation

1999 ◽  
Vol 14 (4) ◽  
pp. 414-421 ◽  
Author(s):  
Haiming Chen
Keyword(s):  
Function Definition

The Stieltjes Function--Definition and Properties

1988 ◽  
Vol 51 (183) ◽  
pp. 281
Author(s):  
Jan Bohman ◽  
Carl-Erik Froberg
Keyword(s):  
Stieltjes Function ◽  
Function Definition

A function definition operator

1981 ◽  
Vol 12 (1) ◽  
pp. 142-145 ◽  
Author(s):  
Kenneth E. Iverson ◽  
Peter K. Wooster
Keyword(s):  
Function Definition

scholarly journals Modelowanie układów sterowania z użyciem pochodnych ułamkowych

2020 ◽  
pp. 33-50
Author(s):  
Grzegorz Dec ◽  
Keyword(s):  
Experimental Data ◽  
System Theory ◽  
Control System ◽  
Fractional Order ◽  
Fractional Derivatives ◽  
System Control ◽  
Current State ◽  
Function Definition ◽  
Definition Of ◽  
State Of Art

In the paper is presented review of some approaches corelated with subject of using fractional derivatives in control system theory. Popular algorithms used in the industry are presented, along with relating designing methodology. Using of fractional derivatives calculations is relatively new concept, but constantly getting increasing interest. Deliberation in recent years indicate that many scientific problems like thermodynamic or biology problems can be well considered and modeled by fractional order derivatives. On the market there is available tools that support a processes of identification and regulators designing, based on experimental data. One of such tools are toolbox CRONE for MATLAB, which contains three modules: mathematical, identifying, system control designing. That toolbox allows implementation of CRONE regulators with different level of complexity. Other tool is FOMCON, which also is a toolbox for MATLAB and it is based on already existed toolbox FOTF. FOMCON allows to identifying of control system and PIλDµ regulator designing. This article is aiming to present current state of art, discussion about existing tools and concepts correlated with fractional order derivatives and their usage in control system theory, like: gamma function, definition of fractional derivative, Laplace transform and basics of control system theory.

London Underground Deep Tube Upgrade Programme: System Function Definition Model Case Study

2019 ◽  
Vol 29 (1) ◽  
pp. 988-1002
Author(s):  
Nathan Everett ◽  
Michael Coultharde-Steer ◽  
Luke Fischer
Keyword(s):  
System Function ◽  
Model Case ◽  
London Underground ◽  
Function Definition

Power Series.Orthogonal Operational Expansions

2020 ◽  
Author(s):  
Pablo Enrique Aballe Vazquez
Keyword(s):  
Hilbert Space ◽  
Taylor Series ◽  
Laplace Transforms ◽  
Unique Function ◽  
Differential Transformation ◽  
Improper Integral ◽  
Analytical Functions ◽  
Positive Semiaxis ◽  
Function Definition ◽  
Definition Of

Formulation of the classic Taylor series as an orthogonal concept based on identifying the expansions coefficients as differential transformation applied to a unique function; definition of operational orthogonality by analogy with the Hilbert space and identification of the nth derivative at a point based on the improper integral on the positive semiaxis ; deduction of inversion integrals for Laplace transforms for analytical functions

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