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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 finite-horizon optimal control problem with input constraints consists in controlling the state of a dynamical system over a finite time interval (possibly unknown) minimizing a cost functional, while satisfying hard constraints on the input. For linear systems the solution of the problem often relies upon the use of bang-bang control signals. For… (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 [1], considering the interconnection of p of subsystems, and the results in [2], presenting a block version of the weak nested Matrosov theorem.

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