A novel frequency domain criterion is presented for theabsolute stability of Lure type single-input single-output discrete-timesystems with slope-restricted nonlinearity.

The absolute stability of large-scale Lurie direct control systems with time-varying coefficients is investigated. Based on the decomposition method for large-scale systems and technique of the nonsingular M-matrix, a suitable scalar Lyapunov function as a weighted sum is constructed. By estimating its total time derivative, some absolute stability criteria and practical corollaries are derived...

Abstract. This paper deals with the absolute stability of single-input single-output time-delay systems with, in general, a finite number of non commensurate constant internal point delays for any nonlinearity satisfying a time positivity inequality related to the first and third quadrants. The results are obtained based on Lyapunov’s stability analysis via appropriate Lyapunov’s functions and ...

In this paper, we analyze the stability and convergence of a one-layer neural network proposed by Gao and Wang, which is designed to solve a class of horizontal linear complementarity problems. The globally asymptotical stability and globally exponential stability of this network are proved strictly under mild conditions, respectively. Meanwhile, this network is applied to solve a transportatio...

Tau-leaping methods have recently been proposed for the acceleration of discrete stochastic simulation of chemically reacting systems. This paper considers the numerical stability of these methods. The concept of stochastic absolute stability is defined, discussed, and applied to the following leaping methods: the explicit tau, implicit tau, and trapezoidal tau.

We consider nonlinear non-autonomous differential-delay equations having separated linear and sublinear parts. We assume that the Green functions of the linear part is selfadjoint and positive definite to obtain solution estimates, explicit conditions for the absolute stability, and input-output stability. Moreover, it is shown that the suggested conditions characterize the equations that satis...

The conditions of absolute stability for a certain class of nonlinear systems are investigated. It is proved that the systems considered are absolutely stable iff for these systems there exist Lyapunov’s functions of the special form. The results obtained are used for the stability analysis of complex systems in critical cases.

the plaque forming unit (pfu) and tissue culture infectious dose50 (tcid 50 ) methods are used for evaluation of vaccine heat stability and effect of various stabilizers on thermal stability of vaccines. the aim of present study is using real-time pcrtechniquefor estimation of vaccine degradation rate and thermal stability of measles vaccines. lyophilized measles vaccines containing three vario...

We consider a multicriteria lexicographic Boolean problem of minimizing absolute deviations of linear functions from zero. We investigate the stability radius which can be understood as a limit level of independent perturbations of the parameters, for which new lexicographic optima do not appear. Lower and upper accessible bounds of the stability radius are obtained.

We present conditions for absolute stability of recurrent neural networks with time-varying weights based on the Popov theorem from non-linear feedback system theory. We show how to maximise the stability bounds by deriving a convex optimisation problem subject to linear matrix inequality constraints, which can efficiently be solved by interior point methods with standard software.