Khorasani, K., authorAzimi-Sadjadi, Mahmood R., authorIEEE, publisher2007-01-032007-01-031992Azimi-Sadjadi, Mahmood R. and Khashayar Khorasani, A Model Reduction Method for a Class of 2-D Systems, IEEE Transactions on Circuits and Systems. I, Fundamental Theory and Applications 39, no. 1 (January 1992): 28-41.http://hdl.handle.net/10217/1019A decomposition-aggregation scheme for reduction of dimensionality for a class of 2-D systems is introduced. This method, which is based upon the extension of the singular perturbation method in two dimensions, is used to decompose the original 2-D system into two reduced-order 2-D subsystems. These reduced order subsystems are shown to effectively capture the dynamical behavior of the original full-order system. Two numerical examples are provided that indicate the effectiveness of this method when used in image modeling applications.born digitalarticleseng©1992 IEEE.Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.picture processingperturbation theorymultidimensional systemsText