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A delaydependent analysis and synthesis approach is established for a class of linear discretetime switched systems with timevarying delays using switched Lyapunov–Krasovskii functionals (SLKFs). The problem of waterquality control is cast as the problem of delaydependent ℒ_{2} gain analysis and synthesis. New delaydependent asymptotic stability criteria are developed under arbitrary switching based on appropriately constructed SLKFs. Delaydependent switched control feedback is then designed, based on state and outputmeasurements, to render the corresponding switched closedloop system delaydependent asymptotically stable with a prescribed ℒ_{2} gain measure. The developed results are cast as linear matrix inequalities and tested by Matlab simulation on a representative waterquality example.
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