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Observability for Nonlinear Systems: Connecting Variational Dynamics, Lyapunov Exponents, and Empirical Gramians
One common approach to quantify observability for nonlinear systems is via the Empirical Gramian (Empr-Gram) -- a generalized form of the Gramian of linear systems.
Quality-Aware Hydraulic Control in Drinking Water Networks via Controllability Proxies
An added challenge is the dependency of the water quality dynamics on the system's hydraulics, which influences the performance of the water quality controller.
State-Robust Observability Measures for Sensor Selection in Nonlinear Dynamic Systems
The approach is performed by discretizing the system's dynamics using the implicit Runge-Kutta method and by introducing a state-averaged observability measure.
ODE Transformations of Nonlinear DAE Power Systems
DAE system theory is less understood in the context of power system dynamics.
Revisiting the Optimal PMU Placement Problem in Multi-Machine Power Networks
A moving horizon estimation approach is explored to reconstruct the joint differential and algebraic initial states of the system, as a gateway to the OPP problem which is then formulated as a computationally tractable integer program (IP).
