Stabilization of Nonlinear Systems by Oscillating Controls with Application

Stabilization of Nonlinear Systems by Oscillating Controls with Application

ICTP Mathematics via YouTube Direct link

Intro

1 of 16

1 of 16

Intro

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Stabilization of Nonlinear Systems by Oscillating Controls with Application

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  1. 1 Intro
  2. 2 Outline
  3. 3 Systems with Uncontrollable Linearization
  4. 4 Motivation: Obstacles for asymptotic stability
  5. 5 Motivation: Controllability Stabilizability!
  6. 6 Problem formulation
  7. 7 Why trigonometric polynomials?
  8. 8 Bracket Generating Systems
  9. 9 Lie Bracket Extension
  10. 10 Control Design Scheme
  11. 11 Example 1: Brockett's Example
  12. 12 Unicycle
  13. 13 Systems with Drift: Rotating Rigid Body
  14. 14 Hydrodynamical Models
  15. 15 Lie Brackets and Energy Cascades
  16. 16 Stabilization of the Galerkin System

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