scholarly journals Minimal controllability time for finite-dimensional control systems under state constraints

Automatica ◽  
2018 ◽  
Vol 96 ◽  
pp. 380-392 ◽  
Author(s):  
Jérôme Lohéac ◽  
Emmanuel Trélat ◽  
Enrique Zuazua
Keyword(s):  
Control Systems ◽  
State Constraints ◽  
Dimensional Control ◽  
Finite Dimensional

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.

Stabilizability of Infinite Dimensional Systems by Finite Dimensional Control

2019 ◽  
Vol 19 (2) ◽  
pp. 267-282 ◽  
Author(s):  
Jean-Pierre Raymond
Keyword(s):  
Boundary Conditions ◽  
Control Systems ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Dimensional Control ◽  
Oseen Equations ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Finite Dimensional

AbstractIn this paper, we consider control systems for which the underlying semigroup is analytic and the resolvent of its generator is compact. In that case we give a characterization of the stabilizability of such control systems. When the stabilizability condition is satisfied, the system is also stabilizable by finite dimensional controls. We end the paper by giving an application of this result to the stabilizability of the Oseen equations with mixed boundary conditions.

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