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Difference equation modelling of a variable structure system

✍ Scribed by R.B. Potts; X.-H. Yu


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
720 KB
Volume
28
Category
Article
ISSN
0898-1221

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In this paper, we give sufficient conditions under which every solution of the nonlinear difference equation with variable delay tends to zero as n --+ c<). Here, {Pn} is a nonnegative sequence, f : R --+ R is a continuous function with xf(x) > 0 if x ~ 0, and g : N --~ Z is nondecreasing and satis

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We investigate the global asymptotic behavior of solutions of the system of di erence equations xn+1 = xn a + cyn ; yn+1 = yn b + dxn ; n= 0; 1; : : : ; where the parameters a and b are in (0; 1), c and d are arbitrary positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative