This　paper　addresses　the　problems　of　stability　analysis　and　synthesis　of　uniform　ultimate　boundedness　(UUB)　control　for　a　class　of　nonlinear　switched　difference　systems.　This　kind　of　discrete-time　systems　could　be　regarded　as　the　digitization　systems　induced　from　the　corresponding　continuous-time　switched　system　in　virtue　of　the　numerical　integration　approach,　such　as　Euler　or　Runge-Kutta　method.　A　sufficient　stability　condition　in　terms　of　linear　inequalities　is　presented　to　ensure　that　for　prescribed　digitalized　steps　the　switched　difference　system　is　stable　for　an　arbitrary　switching　signal.　Moreover,　a　constructive　algorithm　based　on　the　modified　Gaussian　elimination　procedure　is　given　to　find　the　solutions　to　the　linear　inequalities.　Finally,　continuous　state　feedback　control　methods　are　developed　to　guarantee　uniform　ultimate　boundedness　of　the　switched　systems　with　nonlinear　and　time-varying　parameter　uncertainties　and　unknown　input　disturbances.　A　numerical　example　illustrates　the　effectiveness　of　the　proposed　approach.