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On some properties of the Lyapunov equation for damped systems

N. Truhar
K. Veselić


Puni tekst: engleski pdf 341 Kb

str. 189-197

preuzimanja: 688

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Sažetak

We consider a damped linear vibrational system whose dampers
depend linearly on the viscosity parameter v. We show that the
trace of the corresponding Lyapunov solution can be represented as
a rational function of v whose poles are the eigenvalues of a
certain skew symmetric matrix. This makes it possible to derive an
asymptotic expansion of the solution in the neighborhood of zero
(small damping).

Ključne riječi

Damped-vibration; Lyapunov equation; optimization of dampers' viscosities

Hrčak ID:

687

URI

https://hrcak.srce.hr/687

Datum izdavanja:

22.12.2004.

Posjeta: 1.380 *