On controllability of second order nonlinear impulsive differential systems

Sakthivel R., Mahmudov N., Kim J.

Nonlinear Analysis, Theory, Methods and Applications, vol.71, no.1-2, pp.45-52, 2009 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 71 Say: 1-2
  • Nəşr tarixi: 2009
  • Doi nömrəsi: 10.1016/j.na.2008.10.029
  • jurnalın adı: Nonlinear Analysis, Theory, Methods and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.45-52
  • Açar sözlər: Controllability, Fixed point theorem, Nonlinear impulsive systems, Nonlocal conditions
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Many dynamical systems in physics, chemistry, biology and engineering sciences have impulsive dynamical behaviors due to abrupt jumps at certain instants during the dynamical processes. The mathematical models of such processes are called differential systems with impulse effect. This paper studies the exact controllability issue of certain types of second order nonlinear impulsive control differential systems. Sufficient conditions are formulated and proved for the exact controllability of such systems. Without imposing a compactness condition on the cosine family of operators, we establish controllability results by using a fixed point analysis approach. Finally, an example is presented to illustrate the utility of the proposed result. The results improve some recent results. © 2008 Elsevier Ltd. All rights reserved.