Brief paper: Some new results for system decoupling and pole assignment problems
Automatica (Journal of IFAC)
A Canonical Decomposition of the Right Invertible System with Applications
SIAM Journal on Matrix Analysis and Applications
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This paper studies in the framework of the so-called geometric approach the block triangular decoupling problem with state feedback for linear systems defined over a principal ideal domain with identity. First, various properties of feedback reachability submodules are discussed, and then under certain assumptions necessary and sufficient conditions for its solvability are obtained. Further, the pole assignability for decoupled systems is investigated. Finally, a simple example is given to illustrate the results.