4 papers
Bridging Abstraction-Based Hierarchical Control and Moment Matching: A Conceptual Unification
Zirui Niu, Mohammad Fahim Shakib, Giordano Scarciotti
In this paper, we establish a relation between approximate-simulation-based hierarchical control (ASHC) and moment matching techniques, and build a conceptual bridge between these…
State dimension reduction of recurrent equilibrium networks with contraction and robustness preservation
M. F. Shakib
Recurrent equilibrium networks (RENs) are effective for learning the dynamics of complex dynamical systems with certified contraction and robustness properties through unconstraine…
Low-dimensional observer design for stable linear systems by model reduction
M. F. Shakib, M. Khalil, R. Postoyan
This paper presents a low-dimensional observer design for stable, single-input single-output, continuous-time linear time-invariant (LTI) systems. Leveraging the model reduction by…
Data-Driven Model Reduction by Moment Matching for Linear and Nonlinear Parametric Systems
Hanqing Zhang, Junyu Mao, Mohammad Fahim Shakib +1
Theory and methods to obtain parametric reduced-order models by moment matching are presented. The definition of the parametric moment is introduced, and methods (model-based and d…