Systems of Differential Equations with Forcing: Example in Control Theory @Eigensteve
Systems of Differential Equations with Forcing: Example in Control Theory  @Eigensteve
Uploaded November 2022 | Updated September 2026, 1 week ago
This video explores linear systems of differential equations with forcing. We motivate these problems with a simple control example where we stabilize and inverted pendulum with external forcing based on state feedback.

Control Bootcamp: youtube.com/playlist?list=PLMrJAkhIeNNR20Mz-VpzgfQs5zrYi085m

Playlist: youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA
Course Website: http://faculty.washington.edu/sbrunton/me564/

@eigensteve on Twitter
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This video was produced at the University of Washington

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Systems of Differential Equations with Forcing: Example in Control TheoryCoding a Fourth-Order Runge-Kutta Integrator in Python and MatlabThe Hartman-Grobman Theorem, Structural Stability of Linearization, and Stable/Unstable ManifoldsHypothesis Testing in Statistics[2/8] Control for Societal-Scale Challenges: Road Map 2030 [Societal Drivers]Phase Portrait for Double Well PotentialResidual Networks (ResNet) [Physics Informed Machine Learning][8/8] Control for Societal-Scale Challenges: Road Map 2030 [Recommendations]Differential Equations with Forcing: Method of Variation of ParametersUsing sparse trajectory data to find Lagrangian Coherent Structures (LCS) in fluid flowsBayesian Linear Regression and Maximum a Posteriori (MAP) EstimateBootstrapping and Monte Carlo Sampling in Statistics
Steve Brunton |

Systems of Differential Equations with Forcing: Example in Control Theory

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