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Subordinated systems and dissipative inequality for linear finite-dimensional passive systems.

Borukhov V., Shnip Al.

Systems Science

1999

Vol. 25, nr 4

15-24

A quadric storage functional for a passive input-output dynamical system is defined through the outputs of another dynamical system. The latter is called the subordinated system to the former one. The necessary and sufficient conditions for the system subordination are obtained. A necessary condition for the system subordination relation the related systems dimensions is proven. A practically important case of the systems without direct input-output action is considered and more detailed results on subordinated systems are given for this case.