The　robust　reliable　control　design　problem　of　uncertain　discrete-time　control　systems　with　multiple　time-varying　delays　is　addressed　in　this　article.　Uncertainty　in　system　is　assumed　to　satisfy　the　norm-bounded　condition　and　the　time-delay　parameter　is　time-varying　unstructured.　Under　the　proposed　concepts　of　exponentially　robust　stability　and　exponentially　robust　stabilization,　the　delay-dependent　exponential　stability　condition　for　the　robust　reliable　control　system　is　derived　and　a　new　delay-dependent　state　feedback　controller　design　method　is　provided.　The　relationship　between　system　stability　and　time-delays　is　also　studied.　Simulation　study　shows　the　effectiveness　and　feasibility　of　the　proposed　controller　design　method.　©　(2013)　Trans　Tech　Publications,　Switzerland.