A general solution of the "inverse-system realization" problem for linear dynamical systems with waveform-structured inputs

A new theory and realization methodology for real-time inverse-systems is developed. This new theory, based on the assumption of a linearized dynamical system and uncertain, waveform-structured input signals s(t), effectively overcomes the long-standing difficulties of realizing inverse-systems for systems that have "more poles than zeros" and/or have "zeros in the right-half plane". The results obtained here are derived also for time-varying linear dynamical systems with vector input signals s(t)=(s₁(t), ..., s_r(t)) and/or vector output measurements y(t)=(y₁(t), ..., y_m(t)).