A system and method are provided to perform loads-based structural health monitoring (LBSHM) of a dynamical system. The method includes receiving, by at least one computer, sensing data responsive to sensing at least one of a parametrical state and a response of the dynamical system, and determining a Koopman mode and a Koopman eigenvalue. The Koopman mode represents a correlation between the sensor data output by the plurality of sensors. The Koopman eigenvalue represents a frequency component associated with the sensor data and growth or decay of energy associated with the sensor data. The method further includes generating, by the at least one computer, an estimation model to determine a linear estimation based on the Koopman mode and the Koopman eigenvalue that estimates a load response of the dynamical system based on growth or decay of energy associated with the sensor data.
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