Displaying similar documents to “On monotonicity of solutions of discrete-time nonnegative and compartmental dynamical systems.”

Locally positive nonlinear systems

Tadeusz Kaczorek (2003)

International Journal of Applied Mathematics and Computer Science

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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.