Naslov
On some properties of the Lyapunov equation for damped systems

Autori
Truhar, Ninoslav ; Veselić, Krešimir

Izvornik
Mathematical communications (1331-0623) 9 (2004), 2; 189-197

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Damped-vibration; Lyapunov equation; optimization of viscosities

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).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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