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  1. Conditions on decomposing linear systems with more than one matrix to block triangular or diagonal form
Conditions on decomposing linear systems with more than one matrix to block triangular or diagonal form
657 viewed

Conditions on decomposing linear systems with more than one matrix to block triangular or diagonal form

Mesbahi, A

Conditions on decomposing linear systems with more than one matrix to block triangular or diagonal form

Mesbahi, A ; Sharif University of Technology | 2015

657 Viewed
  1. Type of Document: Article
  2. DOI: 10.1109/TAC.2014.2326292
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2015
  4. Abstract:
  5. This technical note provides necessary and sufficient conditions to determine that a linear system with more than one matrix in its state-space representation can be decomposed into cascade or separate sub-systems. In order to perform such decomposition, one needs to determine a linear transformation matrix. Furthermore, the given conditions are adapted to a simple but effective condition to derive all possible scalar sub-systems for a given linear system. Numerical examples are provided to demonstrate the applicability of the presented results
  6. Keywords:
  7. Simultaneous block triangularization stability ; Decomposition ; Linear systems ; Mathematical transformations ; Matrix algebra ; State space methods ; Block diagonalization ; Block triangularization ; Linear transformation matrix ; Similarity transformation ; Simultaneous ; State space representation ; Sub-systems ; Technical notes ; Linear transformations
  8. Source: IEEE Transactions on Automatic Control ; Volume 60, Issue 1 , May , 2015 , Pages 233-239 ; 00189286 (ISSN)
  9. URL: http://ieeexplore.ieee.org/document/6819395