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 …
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 …
extension of Mittag-Leffler matrix function for linear fractional ODEs, which help us to seek …
[PDF][PDF] Controllability of nonlinear delay oscillating systems
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 …
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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
used to construct a nontrivial solution of a boundary value problem with zero boundary …