scholarly journals A Kleinman–Newton construction of the maximal solution of the infinite-dimensional control Riccati equation

Automatica ◽  
2017 ◽  
Vol 86 ◽  
pp. 147-153 ◽  
Author(s):  
Ruth F. Curtain ◽  
Hans Zwart ◽  
Orest V. Iftime
Keyword(s):  
Riccati Equation ◽  
Maximal Solution ◽  
Dimensional Control ◽  
Infinite Dimensional

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.

scholarly journals Computation of open-loop inputs for uniformly ensemble controllable systems

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Michael Schönlein
Keyword(s):  
Open Loop ◽  
Dimensional Control ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
Target States ◽  
Combination Of Methods ◽  
Linear Integral ◽  
Controllable Systems ◽  
Parameter Dependent ◽  
Linear Integral Equations

<p style='text-indent:20px;'>This paper presents computational methods for families of linear systems depending on a parameter. Such a family is called ensemble controllable if for any family of parameter-dependent target states and any neighborhood of it there is a parameter-independent input steering the origin into the neighborhood. Assuming that a family of systems is ensemble controllable we present methods to construct suitable open-loop input functions. Our approach to solve this infinite-dimensional task is based on a combination of methods from the theory of linear integral equations and finite-dimensional control theory.</p>

Sign in / Sign up

Export Citation Format

Share Document