Deterministic Control Systems

1989 ◽  
pp. 97-102 ◽  
Author(s):  
Rolf Isermann
Keyword(s):  
Control Systems ◽  
Deterministic Control

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.

scholarly journals On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Maher Jneid ◽  
Muath Awadalla
Keyword(s):  
Control Systems ◽  
Present Method ◽  
Sufficient Conditions ◽  
Iterative Technique ◽  
Dimensional Control ◽  
Gramian Matrix ◽  
Finite Dimensional ◽  
Deterministic Control ◽  
Fractional System ◽  
Exponential Matrix

In this paper, we establish a set of convenient conditions of controllability for semilinear fractional finite dimensional control systems involving conformable fractional derivative. Indeed, sufficient conditions of controllability for a semilinear conformable fractional system are presented, assuming that the corresponding linear systems are controllable. The present method is based on conformable fractional exponential matrix, Gramian matrix, and the iterative technique. Two illustrated examples are carried out to establish the facility and efficiency of this technique.

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