Abstract
A new sufficient condition in the form of a state-space criterion for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity is presented. An alternative sufficient condition in the form of a matrix frequency-domain inequality is also presented. Examples show the effectiveness of the present criteria.
2000 Mathematics Subject Classification::
Acknowledgement
The author is grateful for the constructive comments and suggestions of the learned referee.
Notes
Hidalgo
,
R.A.
2008
.
Zeros of semilinear systems with applications to nonlinear partial difference equations on graphs
.
J. Difference Equ. Appl.
,
14
:
953
–
959
.
Hu
,
L.-X.
,
Li
,
W.-T.
and
Stevic
,
S.
2008
.
Global asymptotic stability of a second order rational difference equation
.
J. Difference Equ. Appl.
,
14
:
779
–
797
.
Memarbashi
,
R.
2008
.
On the stability of nonautonomous difference equations
.
J. Difference Equ. Appl.
,
14
:
301
–
307
.
Oliveira
,
J.C.
,
Pereira
,
J.M.
and
Menzala
,
G.P.
2008
.
Attractors for second order periodic lattices with nonlinear damping
.
J. Difference Equ. Appl.
,
14
:
899
–
921
.
Palladino
,
F.J.
2009
.
On the characterization of rational difference equations
.
J. Difference Equ. Appl.
,
15
:
253
–
260
.
Roeger
,
L.-I.W.
2009
.
Nonstandard finite difference schemes for differential equations with n+1 distinct fixed points
.
J. Difference Equ. Appl.
,
15
:
133
–
151
.
Sedaghat
,
S.
2009
.
Global behaviors of rational difference equations of orders two and three with quadratic terms
.
J. Difference Equ. Appl.
,
15
:
215
–
224
.
Song
,
Y.
2008
.
Asymptotically almost periodic solutions of nonlinear Volterra difference equations with unbounded delay
.
J. Difference Equ. Appl.
,
14
:
971
–
986
.
Villatoro
,
F.R.
2008
.
Exact finite-difference methods based on nonlinear means
.
J. Difference Equ. Appl.
,
14
:
681
–
691
.
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