scholarly journals Calmness of partially perturbed linear systems with an application to the central path

Optimization ◽  
2018 ◽  
Vol 68 (2-3) ◽  
pp. 465-483
Author(s):  
M. J. Cánovas ◽  
J. A. J. Hall ◽  
M. A. López ◽  
J. Parra
Keyword(s):  
Linear Systems ◽  
Central Path ◽  
Perturbed Linear Systems

scholarly journals Remarks on the Asymptotic Behaviour of Perturbed Linear Systems

1970 ◽  
Vol 11 (1) ◽  
pp. 84-84 ◽  
Author(s):  
James S. W. Wong
Keyword(s):  
Asymptotic Behaviour ◽  
Linear Systems ◽  
Image Position ◽  
Perturbed Linear Systems

Remarks 1, 3 and 5 are incorrect as stated. They should be supplemented by the following observations:(i) In case the perturbing term is linear in y, i.e. f(t, y) = B(t)y, the conclusion of Theorem 1 will follow from Lemma 1 when applied to equation (15) if we assume, instead of (6),The hypothesis given in Trench's theorem is sufficient to imply (*) but not (6). A similar comment applies to Remark 5.

scholarly journals Stabilization of Perturbed Linear Systems with Time-Varying Delays in States and Inputs

2006 ◽  
Vol 49 (2) ◽  
pp. 455-462
Author(s):  
Chih-Chiang CHENG ◽  
Chih-Chin WEN ◽  
Jian-Liung CHEN
Keyword(s):  
Linear Systems ◽  
Time Varying ◽  
Perturbed Linear Systems

scholarly journals Asymptotic Orders of Reachability in Perturbed Linear Systems

1987 ◽  
Author(s):  
Cuneyt M. Ozveren ◽  
George C. Verghese ◽  
Alan S. Willsky
Keyword(s):  
Linear Systems ◽  
Perturbed 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.

Feedback stabilization for perturbed linear systems*

Optimization ◽  
1990 ◽  
Vol 21 (6) ◽  
pp. 912-924 ◽  
Author(s):  
N.U. Ahmed ◽  
Peng Li
Keyword(s):  
Linear Systems ◽  
Feedback Stabilization ◽  
Perturbed Linear Systems
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