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What is the effect of relative degree in control theory?

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#control-theory #stability-theory
294
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Bifurcation diagrams,value and classification

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#ordinary-differential-equations #dynamical-systems #stability-in-odes #stability-theory #bifurcation
71
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Is there a general stability result for the linear delay differential equation $x'(t)=Ax(t)+Bx(t-\tau)$?

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#ordinary-differential-equations #stability-in-odes #stability-theory #delay-differential-equations
360
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Solenoid is hyperbolic set

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#eigenvalues-eigenvectors #manifolds #dynamical-systems #stability-theory
134
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Equilibrium point of the euler-lagrange differential equation

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#ordinary-differential-equations #control-theory #euler-lagrange-equation #stability-theory
67
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Proof of PageRank Stability

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#markov-chains #stability-theory #coupling #page-rank
22
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Linear stability analysis of $|A+\epsilon|^2(A+\epsilon)$ (from the nonlinear Schrödinger equation (NSLE))

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#partial-differential-equations #stability-theory
338
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Use appropriate Liapunov function to determine the stability

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#ordinary-differential-equations #systems-of-equations #stability-in-odes #stability-theory #lyapunov-functions
159
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Stability (solution?) of nonlinear difference equation

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#stability-theory
173
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Stability analysis of system of nonlinear ODEs

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#ordinary-differential-equations #eigenvalues-eigenvectors #nonlinear-system #jacobian #stability-theory
66
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A Question on Lyapunov Functions, Limits, and Being Negative Definite.

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#ordinary-differential-equations #limits #analysis #stability-theory #lyapunov-functions
459
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Looking for a proof of LaSalle's invariance principle for a dynamical system on a manifold.

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#manifolds #dynamical-systems #smooth-manifolds #stability-theory #set-invariance
260
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Is it necessary to have Lyapunov function to equal to zero at the origin for the stability?

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#nonlinear-system #stability-theory #lyapunov-functions
43
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Why this system is unstable in the sense of Lyapunov?

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#nonlinear-system #stability-theory #lyapunov-functions
88
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Lyapunov stability check

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#ordinary-differential-equations #stability-in-odes #stability-theory #lyapunov-functions

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