已知数列\(\{a _{n} \}\)的前\(n\)项和为\(S _{n}\)，且\(2S_{n}=n^{2}+n (n∈N ^{*} )\)，数列\(\{b _{n} \}\)为等比数列，且\(b _{2} =a _{4}\)，\(b _{1} +b _{3} =S _{4}\)．
\((1)\)求\(\{a _{n} \}\)和\(\{b _{n} \}\)的通项公式；
\((2)\)若数列\(\{b _{n} \}\)为递增数列，设\(c_{n}=(-1)^{n}a_{n}\cdot b_{n}\)，求数列\(\{c _{n} \}\)的前\(n\)项和\(T _{n}\)．