Displaying similar documents to “Criterion of the correctness of an analogue model of a system of differential and algebraic equations”

Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory

Ulf von Kalckreuth, Manfred Krtscha (2004)

Applications of Mathematics

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In economic systems, reactions to external shocks often come with a delay. On the other hand, agents try to anticipate future developments. Both can lead to difference-differential equations with an advancing argument. These are more difficult to handle than either difference or differential equations, but they have the merit of added realism and increased credibility. This paper generalizes a model from monetary economics by von Kalckreuth and Schröder. Working out its stability properties,...

Time-domain and parametric L 2 -properties corresponding to Popov inequality

Mihail Voicu, Octavian Pastravanu (2002)

Kybernetika

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For Popov’s frequency-domain inequality a general solution is constructed in L 2 , which relies on the strict positive realness of a generating function. This solution allows revealing time-domain properties, equivalent to the fulfilment of Popov’s inequality in the frequency-domain. Particular aspects occurring in the dynamics of the linear subsystem involved in Popov’s inequality are further explored for step response, as representing a usual characterization in control system analysis....