This paper suggests an optimization-based methodology for the design of minimum weight structures with kinematic nonlinear behavior. Attention is focused on three-dimensional reticulated structures idealized with beam elements under proportional static loadings. The algorithm used for optimization is based on a classical optimality criterion approach using an active-set strategy for extreme lim...

In this paper, we discuss delayed periodic dynamical systems, compare capability of criteria of global exponential stability in terms of various L (1 ≤ p < ∞) norms. A general approach to investigate global exponential stability in terms of various L (1 ≤ p < ∞) norms is given. Sufficient conditions ensuring global exponential stability are given, too. Comparisons of various stability criteria ...

We reconsider here the stability criteria usually proposed for the analysis of walking systems, exhibiting their limits and their ambiguity. We propose then some new criteria based on a thorough analysis of the dynamics of walking systems and precise definitions concerning their stability. Numerical methods are presented then to deal with these new criteria.

A stability analysis of linear systems with stochastically varying delay is performed. It is assumed that the delay function has the form of a sawtooth with switches occurring at the arrival times of a homogeneous Poisson process. Several notions of stochastic stability are considered and corresponding stability criteria are derived. For two examples the different criteria are compared and the ...

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This paper is evolved to have insight of Plankton-Nutrients interactions in the presence of delay in the growth term of phytoplankton species .The conditions for asymptotic stability about endemic equilibrium are derived in the absence of delay.The Nyquist criteria is used to estimate the length of delay to preserve stability .Analytic criterion for the existence of hopf-bifurcation is also dis...

Recently Mao et al. [18] established a number of useful stability criteria in terms of M-matrices for nonlinear stochastic differential delay equations with Markovian switching, and the criteria there are independent of time delay. Such criteria are in general good for large delay but might not be good enough for small delay. When the time lag is sufficiently small, it is useful to obtain delay...

The American Thoracic Society (ATS) and Infectious Diseases Society of America (IDSA) suggested two sets of criteria in 2001 and 2007 to define clinical stability in community-acquired pneumonia (CAP). The present study aimed to evaluate the level of agreement between these two sets of criteria and how well they can predict clinical outcomes. A retrospective cohort study was carried out of 487 ...

Abstract. In this paper we study the absolute stability of Lurie control systems with multiple time-delays and nonlinearities, based on the Lyapunov stability theory via the approach of decomposing matrices, by using extended Lyapunov functional, we avoid the use of the stability assumption on the main operator and derive to improve stability criteria, which are strictly less conservative than ...