International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2003
Volume 13 - 2003

Locally positive nonlinear systems

Tadeusz Kaczorek

Abstract
The notion of locally positive nonlinear time-varying linear systems is introduced. Necessary and sufficient conditions for the local positiveness of nonlinear time-varying systems are established. The concept of local reachability in the direction of a cone is introduced, and sufficient conditions for local reachability in the direction of a cone of this class of nonlinear systems are presented.

Keywords
local positiveness, time-varying, nonlinear system, local reachability in the direction of a cone