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Jason Choi -- Introduction to Control Lyapunov Functions and Control Barrier Functions
1:20:46
YouTubeUCSD Safe Autonomous Systems Lab
Jason Choi -- Introduction to Control Lyapunov Functions and Control Barrier Functions
MAE 207 Safety for Autonomous Systems Guest Lecturer: Jason Choi, UC Berkeley, https://jay-choi.me/
40.4K viewsMar 18, 2021
Lyapunov function Lyapunov Stability Theory
Use Lyapunov stability theory to investigate the stability of t... | Filo
Use Lyapunov stability theory to investigate the stability of t... | Filo
askfilo.com
2 months ago
Question 5: For each of the following systems:    (1) ẋ1 = -x1   x1^2     ẋ2 = -x2         (3) ẋ1 = -x1   x1^2 x2     ẋ2 = -x2   x1    (2) ẋ1 = (x1 - x2)(x1^2   x2^2 - 1)     ẋ2 = (x1   x2)(x1^2   x2^2 - 1)         (4) ẋ1 = -x1 - x2^2     ẋ2 = x1 - x2^3a) Using Lyapunov theory, show that the origin is asymptotically stable. Investigatethe global asymptotic stability of the system.b) If any of the equilibrium points is L.A.S., then estimate the region of attraction.
Question 5: For each of the following systems: (1) ẋ1 = -x1 x1^2 ẋ2 = -x2 (3) ẋ1 = -x1 x1^2 x2 ẋ2 = -x2 x1 (2) ẋ1 = (x1 - x2)(x1^2 x2^2 - 1) ẋ2 = (x1 x2)(x1^2 x2^2 - 1) (4) ẋ1 = -x1 - x2^2 ẋ2 = x1 - x2^3a) Using Lyapunov theory, show that the origin is asymptotically stable. Investigatethe global asymptotic stability of the system.b) If any of the equilibrium points is L.A.S., then estimate the region of attraction.
numerade.com
8 months ago
Problem 3: Examine the stability of the origin (0,0) of the sys... | Filo
Problem 3: Examine the stability of the origin (0,0) of the sys... | Filo
askfilo.com
5.8K views10 months ago
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