… 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. …

… 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 …

… 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 ] = …

… results to systems of difference equations with linear parts with … solution of linear difference
equations with two delays and given initial condition. To do that, we introduce a new matrix …

… 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). …

… 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 …

… 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 …

… a problem which is simple to solve since the corresponding matrix inequalities are LMIs and
… JESA, special issue on `Analysis and control of time-delay systems’, 31, 955±970. Niculescu…

… 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 …

… 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-…