A discrete state-space filter directly applies a linear transfer function that describes the frequency-domain representation of an IIR filter or control plant to asynchronously sampled data. The discrete state-space technique maps a continuous time transfer function into the discrete state-space filter and stores the states of the filter in a sample-time independent fashion in a discrete state-space vector. The filter states are propagated with the asynchronous time measurements provided with the input data to generate the filtered output.