BOUNDEDNESS OF SOME VOLTERRA DIFFERENCE EQUATIONS

Cybernetics Dept,V.B. Kolmanovskii,E. V. Castellanos,J. M. Torres

BOUNDEDNESS OF SOME VOLTERRA DIFFERENCE EQUATIONS

2002

Cybernetics Dept
V.B. Kolmanovskii
E. V. Castellanos
J. M. Torres

The procedure to obtain conditions for the Lyapunov func- tional is discussed for Volterra difference equations to be bounded in average. Boundedness in average is formulated in terms of characteris-' tic of the equations and unknown perturbations acting on it.

Keywords:

Control theory
Lyapunov function
Volterra integral equation
Bounded function
Mathematics
Applied mathematics
Perturbation (astronomy)

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