Particular solution of infinite-dimensional linear systems with applications to trajectory planning of boundary control systems

2013 ◽  
Vol 26 (2) ◽  
pp. 279-301
Author(s):  
Nader Sadegh
Keyword(s):  
Control Systems ◽  
Linear Systems ◽  
Boundary Control ◽  
Trajectory Planning ◽  
Infinite Dimensional ◽  
Boundary Control Systems ◽  
Particular Solution

Approximate Controllability of Boundary Control Systems with Nonlinear Boundary Conditions

2014 ◽  
Vol 538 ◽  
pp. 408-412
Author(s):  
Lian Wen Wang
Keyword(s):  
Boundary Conditions ◽  
Control Systems ◽  
Linear Systems ◽  
Boundary Control ◽  
Approximate Controllability ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Boundary Control Systems ◽  
Delayed Control Systems ◽  
Controllability Result

The paper deals with the approximate controllability of a class of nonlinear delayed control systems in which the control is acted through the boundary of the region and the boundary conditions are nonlinear. The approximate controllability result is established provided the approximate controllability of the corresponding linear systems.

On exact controllability of linear perturbed boundary systems: a semigroup approach

2020 ◽  
Vol 37 (4) ◽  
pp. 1548-1573
Author(s):  
Marieme Lasri ◽  
Hamid Bounit ◽  
Said Hadd
Keyword(s):  
Control System ◽  
Control Systems ◽  
Linear Systems ◽  
Banach Spaces ◽  
Exact Controllability ◽  
Dimensional Control ◽  
Neutral Equations ◽  
Infinite Dimensional ◽  
Semigroup Approach ◽  
Perturbed Linear Systems

Abstract The purpose of this paper is to investigate the robustness of exact controllability of perturbed linear systems in Banach spaces. Under some conditions, we prove that the exact controllability is preserved if we perturb the generator of an infinite-dimensional control system by appropriate Miyadera–Voigt perturbations. Furthermore, we study the robustness of exact controllability for perturbed boundary control systems. As application, we study the robustness of exact controllability of neutral equations. We mention that our approach is mainly based on the concept of feedback theory of infinite-dimensional linear systems.

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