List questions from stability-theory

Published on 27 Mar 2026 - 18:07

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Finding the CFL condition of second order $u_j^{n+1} =u_j^n +aH(u_{j-1}^n)+bH(u_j^n)+cH(u_{j+1}^n)$ with $u_t=H(u)_{xx}$ and $0\le H'(u)\le d$.

Published on 23 Feb 2026 - 12:09

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Proof for stability of stationary point

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Is this formula stable? $\frac{|x|-|y|}{x-y}$ as $x$ approaches $y$.

Published on 03 May 2022 - 2:38

115

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If steady states of a dynamic system exist only as limits, are they actually steady states?

Published on 25 Mar 2026 - 13:56

276

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Stabilizing a transfer function With a PD controller

Published on 11 May 2022 - 9:25

116

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Stability of a system of two second order, linear difference equations

Published on 12 May 2022 - 13:57

60

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Preserving Hurwitz stability of block matrices with same eigenvalues of each block

Published on 25 Mar 2026 - 6:04

43

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Acoustic wave equation will be numerically unstable anyway?

Published on 23 Feb 2026 - 12:02

85

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LQR definitions

Published on 28 Mar 2026 - 17:49

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Why an LTI system with some zero eigenvalues still stable?

Published on 18 May 2022 - 2:44

73

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Deduce stability from strict convexity of gradient systems

Published on 27 Mar 2026 - 14:10

270

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Examples of dynamical systems that have structural stability

Published on 18 May 2022 - 15:56

112

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Structural stability of Arnold's Cat Map

Published on 19 May 2022 - 1:12

121

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Assumption of continuously differentiable function in the Lyapunov Stability Criterion

Published on 27 Mar 2026 - 18:08

List Question

construct different ode systems but with the same lyapunov function

Finding the CFL condition of second order $u_j^{n+1} =u_j^n +aH(u_{j-1}^n)+bH(u_j^n)+cH(u_{j+1}^n)$ with $u_t=H(u)_{xx}$ and $0\le H'(u)\le d$.

Proof for stability of stationary point

Is this formula stable? $\frac{|x|-|y|}{x-y}$ as $x$ approaches $y$.

If steady states of a dynamic system exist only as limits, are they actually steady states?

Stabilizing a transfer function With a PD controller

Stability of a system of two second order, linear difference equations

Preserving Hurwitz stability of block matrices with same eigenvalues of each block

Acoustic wave equation will be numerically unstable anyway?

LQR definitions

Why an LTI system with some zero eigenvalues still stable?

Deduce stability from strict convexity of gradient systems

Examples of dynamical systems that have structural stability

Structural stability of Arnold's Cat Map

Assumption of continuously differentiable function in the Lyapunov Stability Criterion

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