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When are all average trajectories of $w_{k+1}=Aw_k+b$ bounded?

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#linear-algebra #discrete-mathematics #stochastic-processes #stability-theory #lyapunov-functions
146
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center manifold theory

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#dynamical-systems #stability-theory
95
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On a type of stability for irrational rotation

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#dynamical-systems #set-partition #stability-theory
176
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How do I investigate input-to-state stability for $\dot{x}=-(1+u)x^3$

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#control-theory #stability-theory
175
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How to pick a Lyapunov Function and make asymptotically stable?

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#control-theory #nonlinear-system #stability-theory #lyapunov-functions
124
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Boundedness of the solution of linear differential equation when the eigenvalues are purely imaginary complex numbers.

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#ordinary-differential-equations #stability-theory
241
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For which values of $a$ is the system asymptotic stable?

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#matrices #ordinary-differential-equations #systems-of-equations #stability-theory #characteristic-polynomial
296
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Problem designing a control law

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#control-theory #stability-theory #lyapunov-functions #robotics #simulink
131
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Poincaré map for PDEs

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#partial-differential-equations #dynamical-systems #stability-theory
450
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When the Jacobian is time-dependent, how to analyse stability?

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#dynamical-systems #stability-in-odes #jacobian #stability-theory
89
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Stability of PDE and the relation with Discrete spectrum/continuous spectrum

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#partial-differential-equations #spectral-theory #stability-theory #dispersive-pde
308
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How to obtain the Lyapunov candidate of this system

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#dynamical-systems #nonlinear-system #stability-theory #lyapunov-functions
143
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Stability of the dynamic system

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#dynamical-systems #control-theory #stability-theory #delay-differential-equations #steady-state
108
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Prove the system of ODE is asymptotically stable using Lyapunov function.

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#ordinary-differential-equations #stability-in-odes #stability-theory #lyapunov-functions
369
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When is the system of first order differential equations asymptotically stable?

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#ordinary-differential-equations #eigenvalues-eigenvectors #systems-of-equations #maple #stability-theory

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