Sensitivity analysis of linear control systems with random plan parameters

Abstract-The effects of random variations of the plant parameters in multivariable linear control systems are analyzed in terms of stochastic sensitivity operators. Both tie-varying and time-invariant control systems are analyzed. Conditions are derived for the stochastic sensitivity operator which are sufficient to guarantee that the closed-loop realization of the control system is less sensitive to the random parameter variations than the nominally equivalent open-loop system.