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The strict dissipativity synthesis problem and the rank of the coupling QDF
Authors:M N Belur  H L Trentelman
Affiliation:a Department of Electrical Engineering, Indian Institute of Technology, Powai, Mumbai 400 076, India;b Institute for Mathematics and Computing Science, University of Groningen, P.O. Box 800, 9700 AV, Groningen, Netherlands
Abstract:The problem of existence of a controlled behavior that is strictly dissipative with respect to a quadratic supply rate is studied. The relation between strictness and the rank of a suitable coupling condition that combines the dissipativity properties of the hidden behavior and the orthogonal complement of the plant behavior is analyzed.
Keywords:Behaviors  Strict dissipativity  Quadratic differential forms  Coupling condition  Rank  Storage function
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