The stability of linear systems with uncertain bounded time-varying delays (without any constraints on the delay derivatives) is 9 analyzed. It is assumed that the system is stable for some knownâ€¦ (More)

Let f be a scalar function defined on Ïƒ(A) âˆª Ïƒ(Ãƒ). The aim of this paper is to establish inequalities for the norm of f(A) âˆ’ f(Ãƒ). The literature on perturbations of matrix valued functions is veryâ€¦ (More)

The production of dijets in diffractive deep inelastic scattering has been measured with the ZEUS detector at HERA using an integrated luminosity of 61 pb. The dijet cross section has been measuredâ€¦ (More)

The paper deals with infinite block matrices having compact off diagonal parts. Bounds for the spectrum are established and estimates for the norm of the resolvent are proposed. Applications toâ€¦ (More)

Sharp estimates for the absolute values of entries of matrix valued functions of finite and infinite matrices are derived. These estimates give us bounds for various norms of matrix valued functions.â€¦ (More)

Let A be a diagonalizable matrix; so there is an invertible matrix T and a normal matrixË†D, such that T âˆ’1 AT = Ë† D. A sharp bound for the constant Îº T = T T âˆ’1 is suggested. Some applications of theâ€¦ (More)

Matrix valued analytic functions of two commuting matrices are considered. A precise norm estimate is established. As a particular case, the matrix valued functions of two matrices on tensor productsâ€¦ (More)

The stability of linear systems with uncertain time-varying delays from given segments is analyzed. Under assumption that the system is stable for some known constant values of the delays, aâ€¦ (More)

Let A, B and C be matrices. We consider the matrix equations Y âˆ’ AY B = C and AX âˆ’XB = C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for theâ€¦ (More)