List questions from lyapunov-functions

Published on 13 Nov 2022 - 13:34

289

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Proving a set is positive invariant for non-linear system

Published on 25 Mar 2026 - 7:41

155

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Can a Lyapunov Function's Derivative be Negative Semi-Definite Outside a Contour?

Published on 22 Nov 2022 - 22:57

164

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Lyapunov function - double pendulum

Published on 25 Nov 2022 - 8:14

119

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Determine if system is input-state stable

Published on 07 Dec 2022 - 9:44

181

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Prove system is globally bounded and globally uniformly ultimately bounded

Published on 07 Dec 2022 - 11:10

193

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Proof of the Lyapunov Matrix Equation

Published on 25 Mar 2026 - 4:40

81

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Is this planer dynamical system asymptotic stable at equilibrium point $(0,0)$?

Published on 20 Dec 2022 - 5:47

355

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Estimating the region of attraction of a non-linear system with a Lyapunov Function

Published on 24 Dec 2022 - 10:35

165

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Demonstrating Global Asymptotic Stability of a point

Published on 25 Dec 2022 - 22:03

137

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Analytically estimate the region of attraction of a non-linear system

Published on 27 Mar 2026 - 18:09

85

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Show that if $ \lim _{|x| \rightarrow \infty} \int_0^x h(s) d s=+\infty $ then all solutions to this ODE are bounded.

Published on 25 Mar 2026 - 21:50

147

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domain of attraction for a Lyapunov function

Published on 13 Jan 2023 - 12:44

80

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The critical point $(0,0)$ is assymptotically stable. Demostrate $a_{11}+a_{22}<0$ and $a_{11}a_{22}-a_{12}a_{21}>0.$

Published on 13 Jan 2023 - 19:30

72

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Prove that $V'(x,y)=-(x^2+y^2)+(2Ax+By)F_1(x,y)+(Bx+2Cy)G_1(x,y)$. Liapunov.

Published on 15 Jan 2023 - 16:26

List Question

Why we don't write the derivative of the Lyapunov function as $\dot V = 2x^TPAx$

Proving a set is positive invariant for non-linear system

Can a Lyapunov Function's Derivative be Negative Semi-Definite Outside a Contour?

Lyapunov function - double pendulum

Determine if system is input-state stable

Prove system is globally bounded and globally uniformly ultimately bounded

Proof of the Lyapunov Matrix Equation

Is this planer dynamical system asymptotic stable at equilibrium point $(0,0)$?

Estimating the region of attraction of a non-linear system with a Lyapunov Function

Demonstrating Global Asymptotic Stability of a point

Analytically estimate the region of attraction of a non-linear system

Show that if $ \lim _{|x| \rightarrow \infty} \int_0^x h(s) d s=+\infty $ then all solutions to this ODE are bounded.

domain of attraction for a Lyapunov function

The critical point $(0,0)$ is assymptotically stable. Demostrate $a_{11}+a_{22}<0$ and $a_{11}a_{22}-a_{12}a_{21}>0.$

Prove that $V'(x,y)=-(x^2+y^2)+(2Ax+By)F_1(x,y)+(Bx+2Cy)G_1(x,y)$. Liapunov.

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