PROMOTING ACCESS TO AFRICAN RESEARCH

Scientia Africana

Log in or Register to get access to full text downloads.

Remember me or Register



DOWNLOAD FULL TEXT Open Access  DOWNLOAD FULL TEXT Subscription or Fee Access

Criteria for stability of linear dynamical systems with multiple delays by fixed point

P.C. Jackreece

Abstract


In this study we considered a linear Dynamical system with multiple delays and find suitable conditions on the systems parameters such that for a given initial function, we can define a mapping in a carefully chosen complete metric space on which the mapping has a unique fixed point. An asymptotic stability theory for the zero solution with necessary and sufficient condition is proved by means of the contraction mapping principle.

Keywords: Fixed points, Stability, Multiple delays




AJOL African Journals Online