Stability of Ulam–Hyers and existence of solutions for impulsive time-delay semi-linear systems with non-permutable matrices
NI Mahmudov, AM Almatarneh - Mathematics, 2020 - mdpi.com
… the variation of constants method, we gave an explicit representation for solutions of
impulsive time-delay initial value problems with linear parts defined by non-permutable matrices. …
impulsive time-delay initial value problems with linear parts defined by non-permutable matrices. …
[PDF][PDF] Representation of solutions of systems of linear differential equations with multiple delays and linear parts given by nonpermutable matrices
M Medveď, M Pospíšil - Нелінійні коливання, 2016 - jnas.nbuv.gov.ua
… of solutions of systems of delayed differential equations the condition that the linear parts are
given by pairwise permutable matrices … representation of solutions of systems of differential …
given by pairwise permutable matrices … representation of solutions of systems of differential …
Relative controllability of semilinear delay differential systems with linear parts defined by permutable matrices
… linear controlled systems. The controllability problem for the following linear differential systems
… ( 0 ) = x 0 ∈ R n , is known to be solved iff the Grammian matrix of the form W c [ 0 , t 1 ] = …
… ( 0 ) = x 0 ∈ R n , is known to be solved iff the Grammian matrix of the form W c [ 0 , t 1 ] = …
[PDF][PDF] Representation of solutions of linear differential systems of second-order with constant delays
Z Svoboda - Нелінійні коливання, 2016 - imath.kiev.ua
… We will find a solution of a related initialvalue problem for the system (8) in a suitable form.
Then separating components for the vector x, we will get the representation (13). …
Then separating components for the vector x, we will get the representation (13). …
Periodic Solutions to Reversible Second Order Autonomous Systems With Commensurable Delays
J Guo - 2023 - utd-ir.tdl.org
… Time delay systems with commensurate delays play an … symmetric group consisting of all
permutations of n symbols. The … ,V2) the linear space of all Gequivariant linear operators from …
permutations of n symbols. The … ,V2) the linear space of all Gequivariant linear operators from …
Control Design for One Class of Linear Strictly Metzler Time-delay Systems
D Krokavec, A Filasová - … International Conference on Systems …, 2021 - ieeexplore.ieee.org
… solving [7]. Consequently, crucial considerations while keeping positiveness of time-delay
systems … is a permutation matrix if exactly one item in each column and row is equal to 1 and …
systems … is a permutation matrix if exactly one item in each column and row is equal to 1 and …
Relative controllability of conformable delay differential systems with linear parts defined by permutable matrices
A Zhou, J Wang - Filomat, 2023 - doiserbia.nb.rs
… matrix functions to derive the representation of solutions of continuous and discrete linear
delay differential systems with permutable matrices, … for linear and nonlinear delay systems …
delay differential systems with permutable matrices, … for linear and nonlinear delay systems …
Asymptotic behaviour for a class of non-monotone delay differential systems with applications
T Faria, R Obaya, AM Sanz - Journal of Dynamics and Differential …, 2018 - Springer
… some criteria for autonomous systems published in recent … the large-time behaviour of
solutions of system (1.3). We … for non-autonomous linear homogeneous systems of ODEs of …
solutions of system (1.3). We … for non-autonomous linear homogeneous systems of ODEs of …
Controllability and Hyers–Ulam stability of differential systems with pure delay
AM Elshenhab, X Wang - Mathematics, 2022 - mdpi.com
… of a delayed exponential matrix function to represent the solutions of linear delay differential
… [17,18] of time-delay systems. The controllability of systems is one of the most fundamental …
… [17,18] of time-delay systems. The controllability of systems is one of the most fundamental …
Relative Controllability and Ulam–Hyers Stability of the Second-Order Linear Time-Delay Systems
K Abuasbeh, NI Mahmudov, M Awadalla - Mathematics, 2023 - mdpi.com
… solution to IVP for a second-order time-delayed linear system with noncommutative matrices
… We also introduce a delay Gramian matrix and examine a relative controllability linear/semi-…
… We also introduce a delay Gramian matrix and examine a relative controllability linear/semi-…