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math.NA2026
Bilinear Systems with Quadratic Outputs: Analysis, Optimality Conditions for Model Reduction, and Algorithmic Solutions
Heike Faßbender, Serkan Gugercin, Till Peters
Bilinear systems with quadratic outputs (BQO) have recently emerged as an important system class, arising naturally in applications where both the dynamics and the quantities of in…
math.NA2025
Bilinear Quadratic Output Systems and Balanced Truncation
Heike Faßbender, Serkan Gugercin, Till Peters
Dynamical systems with quadratic outputs have recently attracted significant attention. In this paper, we consider bilinear dynamical systems, a special class of weakly nonlinear s…