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math.OC2026
Localized Stabilization of Transport PDEs by Interior Flux Feedback
Constantinos Kitsos, Ian R. Manchester
We study stabilization of multidimensional continu- ity equations with source terms on bounded domains by means of localized interior flux feedback. The feedback is prescribed thro…
eess.SY2026
Robustly Invertible Nonlinear Dynamics and the BiLipREN: From Inversion-Based Control to Generative Trajectory Modelling
Yurui Zhang, Ruigang Wang, Ian R. Manchester
This paper proposes a new notion of robust invertibility for nonlinear dynamical systems, and introduces constructive parameterizations of recurrent neural network which are robust…
eess.SY2026
Absolute Stability of Nonlinear Negative Imaginary Systems with Application to Potential Energy Shaping
Kanghong Shi, Ian R. Manchester
This paper establishes absolute stability conditions for nonlinear negative imaginary (NI) systems interconnected with static nonlinear feedback. We first show that the NI property…