Ravi Ranjan Kumar

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SUMMARY Time delays are ubiquitous in control systems. They usually enter because of the sensors and actuators used in them. Traditionally, time delays have been thought to have a deleterious eeect on both the stability and the performance of controlled systems, and much research has been done in attempting to eliminate them, compensate for them, or nullify(More)
This paper deals with two computationally efficient iterative methods for determining the response of nonclassically damped dynamic systems. Rigorous analytical convergence results related to these iterative methods are provided. Sufficient conditions under which these two iterative schemes are convergent are derived. Three different kinds of damping(More)
  • Firdaus E Udwadia, Ravi Kumar, Firdaus E Udwadiat, Rayi Kumar
  • 2007
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Alternative discretization and solution procedures are developed for the 1-D dual phase-lag (DPL) equation, a partial differential equation for very short time, mi-croscale heat transfer obtained from a delay partial differential equation that is transformed to the usual non-delay form via Taylor expansions with respect to each of the two time delays. Then(More)
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