The stability of motion of a system with aftereffect

✍ Scribed by I.V. Boikov

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 298 KB
• Volume: 61
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(97)00049-x

✦ Synopsis

A system with aftereffect is considered. The state of the system at any instant of time t depends not only on its phase coordinates at the instant t but also on the phase coordinates at the preceding instants of time [~(t), t], where ~t) ~< t, i = 1, 2, .... n (in the special case when ~(t) -to for i = 1, 2, ..., n). The stability of such systems is investigated using Lyapunov's second method.