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Stability and design issues of simple T-S fuzzy control system with simplified linear rule consequent (TSS) are investigated. A systematic approach to find a common matrix P for TSS fuzzy system is presented, where system matrix Ai is decomposed into proportional part A~i and the remainder ΔAi. Hence an iterative approach to find a common matrix P for pairwise commutative A~i's can be used. The stability of the global system is guaranteed if ΔAi satisfies certain conditions. Qualitative instructions for TSS control system design are summarized. A physical example is given to illustrate the issues discussed throughout the paper.