The paper deals with the differential games for the periodically time-varying linear systems with norm-bounded structure uncertainty parameters. By constructing an auxiliary differential games with completely known equations and solving it by the aid of the existing result, the sufficient condition of solubility of the differential games under uncertainty is obtained and the corresponding solution is constructed. The condition is represented in terms of periodically time-varying Riccati differential equation or canonical equation, that is, the equations are required to admit the solution with some specified properties. Finally, resorting to the result, the robust H-infinity control problem is dealt with. The sufficient condition of the solubility is given and the corresponding H-infinity-suboptimal regulator is constructed.
