h-STABILITY FOR NONLINEAR PERTURBED DIFFERENCE SYSTEMS

Title & Authors
h-STABILITY FOR NONLINEAR PERTURBED DIFFERENCE SYSTEMS
Choi, Sung-Kyu; Koo, Nam-Jip; Song, Se-Mok;

Abstract
We show that two concepts of h-stability and h-stability in variation for nonlinear difference systems are equivalent by using the concept of $\small{n_{\infty}}$-summable similarity of their associated variational systems. Also, we study h-stability for perturbed non-linear system y(n+1) =f(n,y(n)) + g(n,y(n), Sy(n)) of nonlinear difference system x(n+1) =f(n,x(n)) using the comparison principle and extended discrete Bihari-type inequality.
Keywords
$\small{n_{\infty}}$-summable similarity;h-system;Bihari-type inequality;comparison principle;
Language
English
Cited by
1.
LYAPUNOV FUNCTIONS FOR NONLINEAR DIFFERENCE EQUATIONS,;;;

충청수학회지, 2011. vol.24. 4, pp.883-893
1.
h-Stability of Linear Matrix Differential Systems, Abstract and Applied Analysis, 2013, 2013, 1
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