Spatial structures can form in stochastic dynamic systems due to near-zero-probability events (comment on "21st century: what is life from the perspective of physics?" (Usp. Fiz. Nauk 180 337 (2010) [Phys. Usp. 53 327 (2010)]) by G R Ivanitskii)

2012 ◽  
Vol 182 (11) ◽  
pp. 1235-1237 ◽  
Author(s):  
Valerii I. Klyatskin
Keyword(s):  
21St Century ◽  
Dynamic Systems ◽  
Stochastic Dynamic ◽  
Spatial Structures ◽  
Stochastic Dynamic Systems

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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