Title :
Further Results on Paracontracting Matrices and Correction to “Optimal Semistable Control in Ad Hoc Network Systems: A Sequential Two-Stage Approach”
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Nebraska-Lincoln, Lincoln, NE, USA
Abstract :
This technical note has twofold aspects. The first aspect is to present some new results on characterization of matrix paracontraction and the second aspect is to correct some errors in the author´s previous publication by means of these newly developed results for paracontraction. Specifically, new necessary and/or sufficient conditions to characterize paracontracting matrices using discrete-time semistability, singular value decomposition, normal matrices, and range symmetric matrices are provided. Using these results, one can rectify an error in the author´s previous publication.
Keywords :
ad hoc networks; discrete time systems; singular value decomposition; stability criteria; discrete-time semistability; matrix paracontraction characterization; necessary and sufficient conditions; normal matrices; range symmetric matrices; singular value decomposition; Ad hoc networks; Eigenvalues and eigenfunctions; Matrix decomposition; Null space; Singular value decomposition; Symmetric matrices; Discrete-time semistability; Paracontraction; discrete-time semistability; paracontraction; singular value decomposition;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2015.2413611
