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math.OC2026
L2-L2-gain bounds for quadratic output systems
Birgit Hillebrecht
We derive an explicit bound for the L2-L2-gain of linear time-invariant systems whose output is a quadratic function of the state and the input. Such systems appear naturally in ma…
math.OC2026
model order reduction for quadratic output systems
Birgit Hillebrecht, Benjamin Unger
Linear time-invariant quadratic output (LTIQO) systems generalize linear time-invariant systems to nonlinear regimes. Problems of this class occur in multiple applications naturall…
math.OC2026
Estimation of the input-to-state stability gain functions from finite-dimensional approximations
Birgit Hillebrecht, Benjamin Unger
Since the concept of input-to-state stability (ISS) was introduced, it has been extensively investigated for finite-dimensional control systems and has recently received attention…