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Structure of the Solution Set of the Dissipative Inequality for One-input Relaxation Systems

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Abstract

The boundary of the solution set of dissipative inequality was proved to coincide in the space of real symmetrical matrices with the bounded convex component of dissipative variety. The differential-geometrical structure of this component was studied.

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Borukhov, V.T., Zelenyak, D.M. Structure of the Solution Set of the Dissipative Inequality for One-input Relaxation Systems. Automation and Remote Control 63, 1377–1387 (2002). https://doi.org/10.1023/A:1020066918201

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