Question

Linearized system for $ \begin{cases} \frac{d}{dt} x_1 = -x_1 + x_2 \\ \frac{d}{dt} x_2 = x_1 - x_2^3 \end{cases} $ is not resting at rest point?

score 121 · Answer 1 · 2026-03-26 06:22:22

121

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Linearized system for $ \begin{cases} \frac{d}{dt} x_1 = -x_1 + x_2 \\ \frac{d}{dt} x_2 = x_1 - x_2^3 \end{cases} $ is not resting at rest point?

Published on 26 Mar 2026 - 6:22

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79

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100

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List Question

Linearized system for $ \begin{cases} \frac{d}{dt} x_1 = -x_1 + x_2 \\ \frac{d}{dt} x_2 = x_1 - x_2^3 \end{cases} $ is not resting at rest point?

What are the conditions on a linear time invariant system for a PI controller to converge to a specified set point?

A specific type of optimal control problem

Linear Quadratic Control problem with unknown time-varying parameters in objective funtion

Is it true that a rational transfer function without RHP pole must be square integratable?

Solving one Systems Equations, Research Level Questions?!

Bounds on a system of coupled ODEs

Differences between Nyquist plot and polar curve

Why are Lyapunov functions always quadratic?

What is the difference between surface and algebraic curve in general?

Solving algebraic Riccati Like equation using Newtons method

Marginal stability with non-simple poles on the imaginary axis

Is this nonnegativity constraint convex?

LQR-Riccati-Quadratic cost-relation?

Is every positive semi-definite matrix a controllability Grammian?

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