In this paper, the gradient vector flow fields are introduced in the image anisotropic diffusion, and the shock filter, mean curvature flow and Perona-Malik equation are reformulated respectively in the context of this flow fields. Many advantages over the original models can be obtained, such as numerical stability, a large capture range, and computational simplification etc. In addition, the ...

A theory of the analysis of strong stability of Hamiltonian systems with periodic coefficients is presented. It is based on the strong stability of fundamental solution evaluated at its period. However, the matrix solution being symplectic, this analysis leads to the search of strong stability of a symplectic matrix. A method for the determination of the monodromy matrix is given and an applica...

This report presents a new analytic method for checking the Schur stability of interval polynomial matrix (polynomials whose coefficients are interval matrices). In the suggested method, the interval Markov matrices of the interval polynomial matrix are used to assess its stability. The validity of the suggested method is illustrated through numerical examples. The proposed technique is algebra...

⎯By employing the Lyapunov stability theory and linear matrix inequality (LMI) technique, delaydependent stability criterion is derived to ensure the exponential stability of bi-directional associative memory (BAM) neural networks with time-varying delays. The proposed condition can be checked easily by LMI control toolbox in Matlab. A numerical example is given to demonstrate the effectiveness...

We consider the classical Taylor series approximation to the solution of initial value problems in ordinary diierential equations and examine implicit variants for the numerical solution of stii ODEs. The Taylor coeecients of the state vector are found to be closely related to those of the Jacobian of the right hand side along the solution trajectory. These connections between state and Jacobia...

In the present paper, the aeroelastic stability of helicopter rotor blade is determined using Aeroelastic Frequency Response Function. The conventional methods of aeroelastic stability usually use an iterative procedure while the present method does not require such approach. Aeroelastic Frequency Response Functions are obtained by inverting dynamic stiffness matrix of the aeroelastic system. S...

Abstract— The stability analysis problem is studied in this paper for a class of discrete-time switched time-delay systems described by delayed recurrence equations or a state matrix transformed after under the arrow form, by applying the comparison, the aggregations techniques and the M-matrix properties, new asymptotic stability conditions of such systems are derived under arbitrary switching...

To be useful for extremely stiff systems of ordinary differential equations, A -stability and a maximally damped condition as \h -* °° (i.e., L-stability) are desirable. This paper investigates the condition of ¿-stability for a class of Runge-Kutta methods known as the Rosenbrock procedure. This procedure requires only one computation of a Jacobian matrix per step of integration, ¿-stable Rose...

In this paper, we consider the stability and robust stability for descriptor systems with time-varying delay. First, we attempt to obtain delay-dependent stability conditions via linear matrix inequalities (LMIs). In the derivation of delay-dependent stability conditions, we define an appropriate Lyapunov-Krasovskii functional and use a free weighting matrix method and Jensen’s inequality, whic...