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MIT Nonlinear System 生肉 - 14 Introduction to Contraction Analysis

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01 Introduction

02 Basic Lyapunov Theory

03 Lyapunov Stability Analysis

04 Convergence to Invariant Sets

05 Stability of Time Varying Systems

06 Sliding Variables

07 Robust Control

08 Adaptive Control

09 Robust Adaptive Control

10 Adaptive Robot Control

11 Feedback Linearization

12 Basic Differential Geometry Tools

13 Controllability, Integrability, Backstepping

14 Introduction to Contraction Analysis

15. Basic Results in Contraction Analysis

16 Combinations of Contracting Systems

17. Virtual Systems

18 Synchronization

19 Stable Invariant Subspaces, Polyrhythms

20 How Synchronization Protects from Noise

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