A Method for the Liapunov Stability Analysis of Force-Free Dynamical Systems

AIAA Journal ◽  
1971 ◽  
Vol 9 (9) ◽  
pp. 1695-1701 ◽  
Author(s):  
LEONARD MEIROVITCH
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Liapunov Stability

A Comparative Study of Liapunov Stability Analyses of Flexible Damped Satellites

1978 ◽  
Vol 45 (3) ◽  
pp. 657-663 ◽  
Author(s):  
H. B. Hablani ◽  
S. K. Shrivastava
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Comparative Study ◽  
Density Function ◽  
Orbital Plane ◽  
Hybrid Dynamical Systems ◽  
Stability Criteria ◽  
Liapunov Stability ◽  
Dynamic Potential ◽  
The Stability

A literal Liapunov stability analysis of a spacecraft with flexible appendages often requires a division of the associated dynamic potential into as many dependent parts as the number of appendages. First part of this paper exposes the stringency in the stability criteria introduced by such a division and shows it to be removable by a “reunion policy.” The policy enjoins the analyst to piece together the sets of criteria for each part. Employing reunion the paper then compares four methods of the Liapunov stability analysis of hybrid dynamical systems illustrated by an inertially coupled, damped, gravity stabilized, elastic spacecraft with four gravity booms having tip masses and a damper rod, all skewed to the orbital plane. The four methods are the method of test density function, assumed modes, and two and one-integral coordinates. Superiority of one-integral coordinate approach is established here. The design plots demonstrate how elastic effects delimit the satellite boom length.

Liapunov stability analysis of spinning flexible spacecraft.

AIAA Journal ◽  
1973 ◽  
Vol 11 (4) ◽  
pp. 457-466 ◽  
Author(s):  
FRANK J. BARBERA ◽  
PETER LIKINS
Keyword(s):  
Stability Analysis ◽  
Flexible Spacecraft ◽  
Liapunov Stability

scholarly journals Stability analysis of flame fronts: Dynamical systems approach in the complex plane

1999 ◽  
Vol 59 (3) ◽  
pp. 2587-2593 ◽  
Author(s):  
Oleg Kupervasser ◽  
Zeev Olami ◽  
Itamar Procaccia
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Complex Plane ◽  
Systems Approach

Stability analysis of discontinuous dynamical systems determined by semigroups

2005 ◽  
Vol 50 (9) ◽  
pp. 1277-1290 ◽  
Author(s):  
A.N. Michel ◽  
Ye Sun ◽  
A.P. Molchanov
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems
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