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 …

Stability of impulsive delay differential equations

Z You, JR Wang - Journal of Applied Mathematics and Computing, 2018 - Springer
In this paper, we introduce impulsive delayed matrix function and give its norm estimation.
With the help of impulsive delayed Cauchy matrix and the variation of constants method, we …

Representation and finite time stability of solution and relative controllability of conformable type oscillating systems

M Li, M Fečkan, JR Wang - Mathematical Methods in the …, 2023 - Wiley Online Library
In this paper, we firstly introduce the concept of conformable matrix sine and cosine
functions, which help us to seek explicit formula of solutions to a conformable type linear …

Finite time stability of semilinear delay differential equations

Z Luo, W Wei, JR Wang - Nonlinear dynamics, 2017 - Springer
In this paper, we study finite time stability for two classes of nonlinear delay differential
equations, one is equation with a nonlinearity independent of delay and the other is …

Iterative learning control for linear discrete delay systems via discrete matrix delayed exponential function approach

C Liang, JR Wang, D Shen - Journal of Difference Equations and …, 2018 - Taylor & Francis
This paper proposes iterative learning control (ILC) for linear discrete delay systems with
randomly varying trial lengths without knowing prior information on the probability …

Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees

C Liang, W Wei, JR Wang - Advances in Difference Equations, 2017 - Springer
In this paper, we study the finite time stability of delay differential equations via a delayed
matrix cosine and sine of polynomial degrees. Firstly, we give two alternative formulas of the …

[PDF][PDF] On the representation of solutions of delayed differential equations via Laplace transform

M Pospisil, F Jaros - Electronic Journal of Qualitative Theory of …, 2016 - real.mtak.hu
In this paper, the unilateral Laplace transform is used to derive a closed-form formula for a
solution of a system of nonhomogeneous linear differential equations with any finite number …

Controllability of fractional stochastic delay systems driven by the Rosenblatt process

B Almarri, AM Elshenhab - Fractal and Fractional, 2022 - mdpi.com
In this work, we consider linear and nonlinear fractional stochastic delay systems driven by
the Rosenblatt process. With the aid of the delayed Mittag-Leffler matrix functions and the …

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 …

Дифференциальные уравнения с запаздыванием: Свойства, методы, решения и модели

АД Полянин, ВГ Сорокин, АИ Журов - М.: ИПМех РАН, 2022 - elibrary.ru
Книга посвящена линейным и нелинейным обыкновенным дифференциальным
уравнениям и уравнениям в частных производных с постоянным и переменным …