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$V'(\mathbf{x}) f(\mathbf{x}) \leq 0$ implies $V(\mathbf{x}(t)) \leq V(\mathbf{x}(0))$ for all $t \geq 0$

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#nonlinear-system #lyapunov-functions
98
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Is there a way to show that this ode system is asymptotically stable?

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#ordinary-differential-equations #stability-in-odes #lyapunov-functions
112
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How to find a Lyapunov function for this non-linear system?

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#control-theory #lyapunov-functions
382
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Lyapunov analysis of marginally stable linear systems

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#linear-algebra #matrices #ordinary-differential-equations #stability-in-odes #lyapunov-functions
86
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Finding a Lyapunov function to show stability

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#ordinary-differential-equations #dynamical-systems #lyapunov-functions
92
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Procedure for randomly creating linear dynamical systems with stable dynamics

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#dynamical-systems #stability-theory #lyapunov-functions
106
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Deriving the Lyapunov function of synchronization error of Lorenz systems

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#chaos-theory #lyapunov-functions
84
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Proving local exponential stability (check my answer)

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#control-theory #stability-in-odes #lyapunov-functions
58
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Asymptotical stability vs Asymptotic uniform stability for nonautonomous systems

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#control-theory #stability-in-odes #stability-theory #lyapunov-functions
75
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Lyapunov function, weak

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#ordinary-differential-equations #stability-in-odes #lyapunov-functions
44
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Invariant sets, La Salles invariance principle

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#ordinary-differential-equations #lyapunov-functions
27
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Disprove existence of homoclinic and etheroclinic chains

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#ordinary-differential-equations #dynamical-systems #lyapunov-functions
38
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Regarding the computation on lyapunov function for stability

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#calculus #ordinary-differential-equations #lyapunov-functions
66
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Instability of equilibrium points of system $x'=y^3$, $y'=\cos(x)\sin(x)$

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#real-analysis #ordinary-differential-equations #lyapunov-functions #hamilton-equations
94
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Differential inclusion for piecewise finite-time lyapunov function

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#control-theory #lyapunov-functions

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