Question

Show $\lim \limits_{t \to \infty} x(t) = 0$ exponentially for any $x(0)\in \mathbb{R}^n$ if $\lim \limits_{t \to \infty} u(t) = 0$ exponentially.

score 114 · Answer 1 · 2026-03-27 23:35:31

114

Views

Show $\lim \limits_{t \to \infty} x(t) = 0$ exponentially for any $x(0)\in \mathbb{R}^n$ if $\lim \limits_{t \to \infty} u(t) = 0$ exponentially.

Published on 27 Mar 2026 - 23:35

score 548 · Answer 2 · 2021-10-27 22:50:08

548

Views

Eigenvalues of a discretized system

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score 31 · Answer 3 · 2021-10-28 10:42:31

31

Views

How to perform harmonic balancing on a 2nd order linear differential equation with time-varying coefficients

Published on 28 Oct 2021 - 10:42

score 35 · Answer 4 · 2026-02-23 13:40:39

35

Views

Bounding the uncertainty function in Robust Inverse Dynamic Control

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score 120 · Answer 5 · 2021-10-30 17:31:52

120

Views

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score 172 · Answer 6 · 2026-04-02 04:34:41

172

Views

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Published on 02 Apr 2026 - 4:34

score 94 · Answer 7 · 2026-03-27 13:06:37

94

Views

Bounded improper integral

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score 129 · Answer 8 · 2026-03-30 05:31:57

129

Views

Is the Following Hamilton Jacobi Bellman equation correct?

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score 41 · Answer 9 · 2026-03-26 09:37:28

41

Views

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score 161 · Answer 10 · 2026-03-27 13:19:19

161

Views

Stability analysis of non-linear system outside of equilibrium point

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score 134 · Answer 11 · 2026-03-30 07:12:30

134

Views

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score 647 · Answer 12 · 2026-04-04 02:29:02

647

Views

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Published on 04 Apr 2026 - 2:29

score 353 · Answer 13 · 2021-11-10 21:21:46

353

Views

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score 54 · Answer 14 · 2021-11-11 03:53:24

54

Views

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Published on 11 Nov 2021 - 3:53

score 143 · Answer 15 · 2021-11-11 06:09:30

143

Views

Can an input stabilize two parallel systems with different initial conditions but the same dynamics?

Published on 11 Nov 2021 - 6:09

List Question

Show $\lim \limits_{t \to \infty} x(t) = 0$ exponentially for any $x(0)\in \mathbb{R}^n$ if $\lim \limits_{t \to \infty} u(t) = 0$ exponentially.

Eigenvalues of a discretized system

How to perform harmonic balancing on a 2nd order linear differential equation with time-varying coefficients

Bounding the uncertainty function in Robust Inverse Dynamic Control

How to find the output response of a second order system?

Can second order non-linear ODEs have non-differentiable solutions?

Bounded improper integral

Is the Following Hamilton Jacobi Bellman equation correct?

Discrete-Time Systems and Connections Between Functions

Stability analysis of non-linear system outside of equilibrium point

Optimization problem where the objective function returns a function instead of a real number

What is common between Lagrangian/Hamiltonian in control theory/optimization and those functions in physics?

L-stable discretization method with optimal stability region

Examples of Lie Brackets exposing unexpected control spaces

Can an input stabilize two parallel systems with different initial conditions but the same dynamics?

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