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Stabilization of fixed modes in expansions of LTI systems
Authors:Srdjan S Stankovi&#x;  Dragoslav D &#x;iljak
Affiliation:aFaculty of Electrical Engineering, University of Belgrade, Belgrade, Serbia;bSchool of Engineering, Santa Clara University, Santa Clara, CA, USA
Abstract:The objective of this note is to propose a method for stabilization of structurally fixed modes in expansions of LTI dynamic systems in the scope of overlapping decentralized control design based on the expansion/contraction framework, enabling successful design for a broader class of problems than considered so far. The method is based on a judicious choice of complementary matrices in the expanded space. Numerical examples are provided to illustrate simplicity and efficiency of the proposed approach.
Keywords:Inclusion principle  Expansions of LTI systems  Stabilization  Decentralized overlapping control  Controller contractibility
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