scholarly journals Relaxation of Some Confusions about Confounders

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1450
Author(s):  
Ádám Zlatniczki ◽  
Marcell Stippinger ◽  
Zsigmond Benkő ◽  
Zoltán Somogyvári ◽  
András Telcs
Keyword(s):  
Dynamic Systems ◽  
Conditional Independence ◽  
Causal Discovery ◽  
Stochastic Dynamic ◽  
Geodesic Space ◽  
Independence Tests ◽  
Interacting Systems ◽  
Stochastic Dynamic Systems

This work is about observational causal discovery for deterministic and stochastic dynamic systems. We explore what additional knowledge can be gained by the usage of standard conditional independence tests and if the interacting systems are located in a geodesic space.

scholarly journals Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Mourad Kerboua ◽  
Amar Debbouche ◽  
Dumitru Baleanu
Keyword(s):  
Control Systems ◽  
Hilbert Spaces ◽  
Dynamic Systems ◽  
Approximate Controllability ◽  
Dynamic Control ◽  
Sufficient Conditions ◽  
Sobolev Type ◽  
Stochastic Dynamic ◽  
Deterministic Control ◽  
Stochastic Dynamic Systems

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.

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