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Extremal properties of linear dynamic systems controlled by Dirac’s impulse
International Journal of Applied Mathematics and Computer Science, Tome 30 (2020) no. 1, pp. 75-81.

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The paper concerns the properties of linear dynamical systems described by linear differential equations, excited by the Dirac delta function. A differential equation of the form an x(n) (t) + ∙∙∙ a1 x’(t) + a0 x(t) = bm u(m)
Keywords: extremal properties, Dirac's impulse, linear system, transfer function
Mots-clés : właściwości ekstremalne, impuls Diraca, układ liniowy, funkcja przenoszenia 
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Białas, Stanisław; Górecki, Henryk; Zaczyk, Mieczysław. Extremal properties of linear dynamic systems controlled by Dirac’s impulse. International Journal of Applied Mathematics and Computer Science, Tome 30 (2020) no. 1, pp. 75-81. http://geodesic.mathdoc.fr/item/IJAMCS_2020_30_1_a5/

[1] Górecki, H. (2018). Optimization and Control of Dynamic Systems, Springer, Cham.

[2] Górecki, H. and Zaczyk, M. (2013). Design of systems with extremal dynamic properties, Bulletin of the Polish Academy of Sciences: Technical Sciences 61(3): 563–567.

[3] Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer, London.

[4] Kaczorek, T. (2018). A new method for determination of positive realizations of linear continuous-time systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 66(5): 605–611.

[5] Osiowski, J. (1965). An Outline of Operator Calculus. Theory and Applications in Electrical Engineering, WNT, Warsaw, (in Polish).