ASYMPTOTIC BEHAVIOR OF A COUPLED DYNAMIC SYSTEM: APPLICATION TO ADAPTIVE SYSTEMS

摘要

The asymptotic behavior of a part of solutions of a coupled dynamic system is investigated. Particularly it will be shown that if a signal x(t) is a solution existing for all t≥0 of a dynamic system in a Banach space X and is p-th (p≥1) power integrable, then x(t)→0 as t →∞. The results are applied to a broad class of adaptive systems.