Error Bounds for Balanced Truncation of Linear Time-Varying Systems
In this paper error bounds for truncated balanced linear time-varying systems in discrete time are obtained. The analysis is based on direct calculations with the time-varying observability and controllability Lyapunov inequalities. The obtained bounds in the induced l-script -norm generalize well-known error-bound formulas for time-invariant systems. The case of time-varying state-space dimension
