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2篇 您的检索式:作者名="K.Ramakrishnan"
    题名 作者 年代 出处 被引量
1Delay-range-dependent Stability Criterion for Interval Time-delay Systems with Nonlinear Perturbations显示文摘In this paper, we consider the problem of robust stability for a class of linear systems with interval time-varying delay under nonlinear perturbations using Lyapunov-Krasovskii (LK) functional approach. By partitioning the delay-interval into two segments of equal length, and evaluating the time-derivative of a candidate LK functional in each segment of the delay-interval, a less conservative delay-dependent stability criterion is developed to compute the maximum allowable bound for the delay-range within which the system under consideration remains asymptotically stable. In addition to the delay-bi-segmentation analysis procedure, the reduction in conservatism of the proposed delay-dependent stability criterion over recently reported results is also attributed to the fact that the time-derivative of the LK functional is bounded tightly using a newly proposed bounding condition without neglecting any useful terms in the delay-dependent stability analysis. The analysis, subsequently, yields a stable condition in convex linear matrix inequality (LMI) framework that can be solved non-conservatively at boundary conditions using standard numerical packages. Furthermore, as the number of decision variables involved in the proposed stability criterion is less, the criterion is computationally more effective. The effectiveness of the proposed stability criterion is validated through some standard numerical examples.K.Ramakrishnan G.Ray 2011International Journal of Automation and computing2011,8,1:14
2Hydromagnetic flow through uniform channel bounded by porous media显示文摘The combined effects of the magnetic field,permeable walls,Darcy velocity,and slip parameter on the steady flow of a fluid in a channel of uniform width are studied.The fluid flowing in the channel is assumed to be homogeneous,incompressible,and Newtonian.Analytical solutions are constructed for the governing equations using Beavers-Joseph slip boundary conditions.Effects of the magnetic field,permeability,Darcy velocity,and slip parameter on the axial velocity,slip velocity,and shear stress are discussed in detail.It is shown that the Hartmann number,Darcy velocity,porous parameter,and slip parameter play a vital role in altering the flow and in turn the shear stress.K.RAMAKRISHNAN K.SHAILENDHRA 2011Applied Mathematics and Mechanics(English Edition)2011,32,7:0
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