Almost sure stability of the thin-walled beam subjected to end moments

Almost sure stability for uncertain differential equation

Uncertain differential equation is a type of differential equation driven by Liu process. So far, concepts of stability and stability in mean for uncertain differential equations have been proposed. This paper aims at providing a concept of almost sure stability for uncertain differential equation. A sufficient condition is given for an uncertain differential equation being almost surely stable...

Ultimate Load Capacity and Behavior of Thin-Walled Curved-Steel Square Struts, Subjected to Compressive Load

There have been some experimental tests on hollow curved-steel struts with thin-walled square sections, in order to investigate their general behavior, particularly their capacity for bearing differing loads. One set of square tubes are cold-formed into segments of circular arcs with curvature radii, equal to 4000 mm. Different lengths of curved struts are fabricated so as to cover a practical ...

Collapse Study of a Pair Thin-Walled Prismatic Column Subjected to Oblique Loads

Almost Sure Exponential Stability of Stochastic Differential Delay Equations

This paper is concerned with the almost sure exponential stability of the multidimensional nonlinear stochastic differential delay equation (SDDE) with variable delays of the form dx(t) = f(x(t−δ1(t)), t)dt+g(x(t−δ2(t)), t)dB(t), where δ1, δ2 : R+ → [0, τ ] stand for variable delays. We show that if the corresponding (nondelay) stochastic differential equation (SDE) dy(t) = f(y(t), t)dt + g(y(t...

Almost Sure Stability of Stochastic Linear Systems with Ergodic Parameters

This criterion theoretically requires the integration of the system equations until infinity. A possible way to overcome this impossible investigation is the approximation through an integration over a sufficiently long time interval as proposed in [1]. In the discussed paper the authors developed a criterion imposing that the system is averagely normcontractive over a finite time interval. Thi...