The　solvability　of　certainty　equivalence　control　problems　for　discrete-time　multi-agent　systems　over　uniformly　jointly　connected　switching　networks　relies　on　the　stability/attractivity　analysis　for　a　class　of　perturbed　switched　systems　with　respect　to　a　set　of　switching　signals.　To　tackle　this　issue,　in　this　paper,　a　novel　systematic　and　unified　framework　is　established　consisting　of　three　key　stability/attractivity　results.　First,　the　uniform　global　exponential　stability　for　two　dual　cases　of　the　nominal　dynamics　is　analyzed　in　a　unified　way　by　checking　the　weak　zero-state　detectability　from　the　limiting　systems.　Second,　the　uniform　global　exponential　attractivity　of　the　perturbed　switched　systems　accommodating　both　first-order　and　zero-order　time-varying　perturbations　is　studied　without　resorting　to　any　Lyapunov　function　for　the　entire　perturbed　switched　systems.　Third,　the　uniform　global　$\kappa$-exponential　stability　for　a　class　of　cascaded　switched　systems　is　investigated.　These　stability/attractivity　results　together　lay　the　foundation　to　thoroughly　solve　two　kinds　of　typical　certainty　equivalence　control　problems,　and　also　improve　two　specific　cooperative　control　designs.　Moreover,　a　relaxed　dwell-time　condition　is　considered,　which　makes　the　obtained　results　tolerable　in　the　extreme　case　of　instantaneous　link　failure　and　restoration.　Finally,　the　control　performances　are　shown　by　numerical　simulations.　IEEE