Relative controllability of conformable delay differential systems with linear parts defined by permutable matrices

A Zhou, J Wang - Filomat, 2023 - doiserbia.nb.rs
We study relative controllability of linear and nonlinear conformable delay differential
systems with linear parts defined by permutable matrices. By using a notion of delay …

Relative controllability of semilinear delay differential systems with linear parts defined by permutable matrices

JR Wang, Z Luo, M Fečkan - European Journal of Control, 2017 - Elsevier
This paper is devoted to analysis of relative controllability of semilinear delay differential
systems with linear parts defined by permutable matrices. By introducing a notion of delay …

Relative controllability of delay differential systems with impulses and linear parts defined by permutable matrices

Z You, JR Wang, D O'Regan… - Mathematical Methods in …, 2019 - Wiley Online Library
This paper investigates the relative controllability of delay differential systems with linear
impulses and linear parts defined by permutable matrices. We use the impulsive delay …

Relative controllability for conformable impulsive delay differential equations

D Luo, J Huang - IMA Journal of Mathematical Control and …, 2024 - academic.oup.com
In this paper, we mainly study a class of conformable impulsive delay differential equations
(CIDDEs). We first define a conformable impulsive delayed matrix function, and construct an …

On the relative controllability of neutral delay differential equations

Z You, M Fečkan, JR Wang - Journal of Mathematical Physics, 2021 - pubs.aip.org
In this paper, we study a class of neutral time-delay control systems. The relative
controllability of the linear system is given by constructing the corresponding neutral delay …

[PDF][PDF] Controllability of nonlinear delay oscillating systems

C Liang, JR Wang, D O'Regan - Electronic Journal of Qualitative …, 2017 - real.mtak.hu
In this paper, we study the controllability of a system governed by second order delay
differential equations. We introduce a delay Gramian matrix involving the delayed matrix …

Results on relative controllability for nonlinear system with multi‐delays in control

A Vinodkumar, S Hemalatha - Mathematical Methods in the …, 2024 - Wiley Online Library
This study uses a delayed matrix exponential to illustrate the solution of both linear and
nonlinear delay problems using permutable matrices. We outline several prerequisites that …

Relative Controllability of Impulsive Linear Discrete Delay Systems

X Jin, M Fečkan, JR Wang - Qualitative Theory of Dynamical Systems, 2023 - Springer
This paper investigates relative controllability of impulsive linear discrete delay systems with
constant coefficients and a pure delay. Grammian and rank criteria for relative controllability …

Relative controllability of impulsive multi-delay differential systems

Z You, M Fečkan, JR Wang, D O'Regan - … Analysis: Modelling and …, 2022 - zurnalai.vu.lt
In this paper, relative controllability of impulsive multi-delay differential systems in finite
dimensional space are studied. By introducing the impulsive multi-delay Gramian matrix, a …

Relative controllability for delayed linear discrete system with second-order differences

M Yang, M Fečkan, JR Wang - Qualitative theory of dynamical systems, 2022 - Springer
In this work, with the aid of the representation of the solution, the relative controllability for
delaying linear discrete systems with a second-order difference is principally investigated …