A reduction principle for asymptotically triangular differential systems

✍ Scribed by B.S. Kalitin

• Book ID: 104020541
• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 319 KB
• Volume: 71
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2007.07.013

✦ Synopsis

Problems of the stability of non-linear non-autonomous systems of differential equations with a special class of asymptotically vanishing perturbations are considered. The problem of reducing a problem on the stability of the equilibrium of a perturbed system to a problem on stability with respect to a non-linear approximation system which has a triangular form is solved. Applications of the results of the investigations to mechanical systems with a variable mass and time-varying equations of the constraints are presented.