Benjawan RodjanadidVan Sanh NguyenThu Ha NguyenHuu Du NguyenMahidol UniversityMining UniversityVietnam National University Hanoi2018-09-132018-09-132009-03-01Asian-European Journal of Mathematics. Vol.2, No.1 (2009), 95-11517937183179355712-s2.0-84857566510https://repository.li.mahidol.ac.th/handle/123456789/27783This paper is concerned with a formula of stability radii for a linear implicit difference equation (LIDEs for short) varying in time with index-1 under structured parameter perturbations. It is shown that the lp-real and complex stability radii of these systems coincide and they are given by a formula of input-output operators. The result is an extension of a previous result for time-varying ordinary differential equations [7]. © 2009 World Scientific Publishing Company.Mahidol UniversityMathematicsArticleSCOPUS10.1142/S1793557109000091