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Locally Positive Nonlinear Systems

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2003

Vol. 13, no 4

505-509

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.