The unknown nonlinear systems are lifted to higher dimensional model-free linear predictors, with approximately linear system evolution by adopting the Koopman theory. The linear quadratic control ...

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

This article investigates the optimal control problem for a class of continuous-time nonlinear Markov jump systems (CTNMJSs), in which an adaptive optimal control policy is developed based on the ...

This method regards the cardio-respiratory system as a network of coupled self-sustained nonlinear phase oscillators and uses a Bayesian inference scheme to dynamically estimate their time-evolving ...

Nonlinear systems come in all shapes and sizes. Linear dynamics is a useful abstraction, but if you look long enough at any real system you consider linear, you will discover nonlinearities. It ...

We often encounter nonlinear dynamical systems that behave unpredictably, such as the earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct ...

Rack-and-pinion sets deliver precise motion over unlimited lengths without the complexity of motors and ball screws.