VARIATION OF LYAPUNOV METHOD FOR DYNAMIC-SYSTEMS ON TIME SCALES


KAYMAKCALAN B., RANGARAJAN L.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.185, ss.356-366, 1994 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 185 Konu: 2
  • Basım Tarihi: 1994
  • Doi Numarası: 10.1006/jmaa.1994.1254
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.356-366

Özet

A new comparison theorem that connects the solutions of perturbed and unperturbed dynamic systems in a manner useful to the theory of perturbations is given and this comparison theorem is employed as a stability criterion to compare the asymptotic behaviors of perturbed and unperturbed systems. It is further shown by means of both theory and numerical computation that time scales do offer a unification in order to emphasize the better asymptotic behavior of perturbed systems in both continuous and discrete cases. (C) 1994 Academic Press, Inc.