Question

Difference between $y(t)=α\cos(λt)+\fracβλ\sin(λt)-\int_0^t\frac{\sin(λ(t-s))}λg(y(s))ds$ and $y^{n+1}=2\cos(λτ)y^n-y^{n-1}-\frac{\sin(λτ)}λg(y^n)$

score 78 · Answer 1 · 2026-03-29 05:12:11

78

Views

Difference between $y(t)=α\cos(λt)+\fracβλ\sin(λt)-\int_0^t\frac{\sin(λ(t-s))}λg(y(s))ds$ and $y^{n+1}=2\cos(λτ)y^n-y^{n-1}-\frac{\sin(λτ)}λg(y^n)$

Published on 29 Mar 2026 - 5:12

score 204 · Answer 2 · 2022-08-10 04:13:14

204

Views

Lower and upper bounds of eigenvalues of the solution $P=P^T>0$ of the Lyapunov equation

Published on 10 Aug 2022 - 4:13

score 30 · Answer 3 · 2022-08-11 03:51:16

30

Views

If a steady state is not Lyapunov stable, does its basin of attraction have Lebesgue measure zero?

Published on 11 Aug 2022 - 3:51

score 62 · Answer 4 · 2022-08-22 16:22:39

62

Views

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Published on 22 Aug 2022 - 16:22

score 109 · Answer 5 · 2026-03-27 16:02:01

109

Views

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score 58 · Answer 6 · 2022-08-30 05:00:26

58

Views

Does the basin of attraction of an asymptotically stable steady state always have strictly positive Lebesgue measure?

Published on 30 Aug 2022 - 5:00

score 140 · Answer 7 · 2022-09-05 20:14:29

140

Views

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score 309 · Answer 8 · 2022-09-06 23:23:40

309

Views

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score 174 · Answer 9 · 2022-09-13 10:26:49

174

Views

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score 61 · Answer 10 · 2022-09-16 16:20:49

61

Views

Stability of $\ddot{x}+c \dot{x}+x(1-x)=0 $

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score 48 · Answer 11 · 2022-09-21 13:12:44

48

Views

Noncritical Level Lines of Energy in Arnold' book about ODEs

Published on 21 Sep 2022 - 13:12

score 41 · Answer 12 · 2022-09-24 15:47:32

41

Views

Getting derivative by dividing partial derivatives (in ODE linear stability analysis)

Published on 24 Sep 2022 - 15:47

score 53 · Answer 13 · 2026-03-27 21:37:33

53

Views

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Published on 27 Mar 2026 - 21:37

score 72 · Answer 14 · 2022-09-26 14:18:25

72

Views

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Published on 26 Sep 2022 - 14:18

score 642 · Answer 15 · 2022-10-16 17:43:33

642

Views

Are marginally stable systems also BIBO stable?

Published on 16 Oct 2022 - 17:43

List Question

Difference between $y(t)=α\cos(λt)+\fracβλ\sin(λt)-\int_0^t\frac{\sin(λ(t-s))}λg(y(s))ds$ and $y^{n+1}=2\cos(λτ)y^n-y^{n-1}-\frac{\sin(λτ)}λg(y^n)$

Lower and upper bounds of eigenvalues of the solution $P=P^T>0$ of the Lyapunov equation

If a steady state is not Lyapunov stable, does its basin of attraction have Lebesgue measure zero?

Ill-posedness of a Cauchy Problem for the Heat Equation

Long term behavior of a nonlinear dynamic system

Does the basin of attraction of an asymptotically stable steady state always have strictly positive Lebesgue measure?

Stability of linear differential equations with periodic coefficients

BIBO stability of a time-varying linear system

Rigorous proof of the Nyquist stability criterion

Stability of $\ddot{x}+c \dot{x}+x(1-x)=0 $

Noncritical Level Lines of Energy in Arnold' book about ODEs

Getting derivative by dividing partial derivatives (in ODE linear stability analysis)

Discussing about the interval of existence for a nonlinear system

Composition of infinite comparison functions

Are marginally stable systems also BIBO stable?

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