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The model reduction problem by moment matching for linear time-delay systems is addressed. A parameterized family of models achieving moment matching is characterized. The parameters can be exploited to derive a delay-free reduced order model or reduced order models with additional properties. The theory is illustrated by an example borrowed from the… (More)
The model reduction problem for (single-input, single-output) linear and nonlinear systems is addressed using the notion of moment. A re-visitation of the linear theory allows to obtain novel results for linear systems and to develop a nonlinear enhancement of the notion of moment. This, in turn, is used to pose and solve the model reduction problem by… (More)
— The behavior of the solutions of large-scale nonlin-ear dynamical systems close to their omega-limit sets is studied. Exploiting small-gain like conditions we extend the results in , considering the interconnection of p of subsystems, and the results in , presenting a block version of the weak nested Matrosov theorem.