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Semi‐discretization method for delayed systems
International Journal for Numerical Methods in Engineering · 2002 · Vol. 55(5) · pp. 503–518
Tamás Insperger(Budapest University of Technology and Economics)Gábor Stépàn✉(Budapest University of Technology and Economics)
Abstract
Abstract The paper presents an efficient numerical method for the stability analysis of linear delayed systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and also time periodic, but still, it can be transformed analytically into a high‐dimensional linear discrete system. The method is applied to determine the stability charts of the Mathieu equation with continuous time delay. Copyright © 2002 John Wiley & Sons, Ltd.
Numerical methods for differential equationsProbabilistic and Robust Engineering DesignNonlinear Dynamics and Pattern FormationDiscretizationStability (learning theory)Linear systemMathematicsMathieu functionApplied mathematicsNumerical analysisComputer scienceControl theory (sociology)Mathematical analysis
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Updated semi‐discretization method for periodic delay‐differential equations with discrete delay
International Journal for Numerical Methods in Engineering · 2004 · 680 citations
References
Nonlinear Oscillations
Journal of Applied Mechanics · 1980 · 4,672 citations
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