Narrow Results

The realization problem for positive, continuous-time linear single-input, single-output systems with delays is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for computation of positive minimal realizations is presented and illustrated by an example.

In this paper, we introduce and study a class of new generalized nonlinear mixed quasi-variational inclusions involving non-monotone set-valued mappings with noncompact values and construct a new iterative algorithm. And proved the existence of solutions for this kind of generalized nonlinear mixed quasi-variational inclusions and the convergence of the iterative sequence generated by the algorithm. Those results improve and extend the corresponding results in the recently literatures.