Title :
The geometry of stability domains of systems with different dimensions
Author :
Okunev, Yu.M. ; Privalova, O.G. ; Samsonov, V.A.
Author_Institution :
Inst. of Mech., Lomonosov Moscow State Univ., Moscow, Russia
Abstract :
A geometric approach is proposed to comparing stability domains of systems with different dimensions. This approach is convenient for establishing relations between stability properties of steady solutions in similar problems with different number of degrees of freedom. Stability domains are compared for systems described by linear complex differential equations of second and third order with constant complex coefficients.
Keywords :
linear differential equations; mechanical stability; constant complex coefficients; degrees of freedom; geometric approach; linear complex differential equations; stability domains; steady solutions; Aerodynamics; Asymptotic stability; Blades; Differential equations; Force; Mechanical systems; Stability analysis;
Conference_Titel :
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location :
Saint Petersburg
DOI :
10.1109/POLYAKHOV.2015.7106763
