Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations

M Li, JR Wang - Applied Mathematics and Computation, 2018 - Elsevier
In this paper, we introduce a concept of delayed two parameters Mittag-Leffler type matrix
function, which is an extension of the classical Mittag-Leffler matrix function. With the help of …

[HTML][HTML] Finite time stability of fractional delay differential equations

M Li, JR Wang - Applied Mathematics Letters, 2017 - Elsevier
In this paper, we firstly introduce a concept of delayed Mittag-Leffler type matrix function, an
extension of Mittag-Leffler matrix function for linear fractional ODEs, which help us to seek …

[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 …

Controllability of linear discrete systems with constant coefficients and pure delay

J Diblík, DY Khusainov, M Růžičková - SIAM Journal on Control and …, 2008 - SIAM
The purpose of this contribution is to develop a controllability method for linear discrete
systems with constant coefficients and with pure delay. To do this, a representation of …

Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations

M Li, JR Wang - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
This paper firstly deals with finite time stability (FTS) of Riemann‐Liouville fractional delay
differential equations via giving a series of properties of delayed matrix function of Mittag …

On robustness analysis of a dynamic average consensus algorithm to communication delay

H Moradian, SS Kia - IEEE Transactions on Control of Network …, 2018 - ieeexplore.ieee.org
This paper studies the robustness of a dynamic average consensus algorithm to
communication delay over strongly connected and weight-balanced (SCWB) digraphs …

Multi-delayed perturbation of Mittag-Leffler type matrix functions

NI Mahmudov - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
In this paper, we introduce a multivariate determining function and propose a multi-delayed
perturbation of Mittag-Leffler type matrix function. It is an extension of the classical Mittag …

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 …

[PDF][PDF] Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices

J Diblík, M Fečkan, M Pospišil - Ukrains' kyi Matematychnyi …, 2013 - umj.imath.kiev.ua
REPRESENTATION OF A SOLUTION OF THE CAUCHY PROBLEM FOR AN OSCILLATING
SYSTEM WITH TWO DELAYS AND PERMUTABLE MATRICES ЗОБРА Page 1 UDC 517.9 J …

On the new control functions for linear discrete delay systems

J Diblík, M Feckan, M Pospíšil - SIAM Journal on Control and Optimization, 2014 - SIAM
New control functions are derived for linear difference equations with delay, which can be
used to construct a nontrivial solution of a boundary value problem with zero boundary …