Question

How to prove for a system with rational stable transfer function, the output is square integrable?

score 172 · Answer 1 · 2015-05-21 21:46:59

172

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How to prove for a system with rational stable transfer function, the output is square integrable?

Published on 21 May 2015 - 21:46

score 42 · Answer 2 · 2015-05-22 20:50:17

42

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How to prove that $L_2[0,\infty)$ space is linearly isomorphic to $\mathcal{H}_2$ the space of analytic in $Re(s)>0$ functions?

Published on 22 May 2015 - 20:50

score 1.3k · Answer 3 · 2026-03-27 11:46:32

1.3k

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Example of BIBO stable system that is not internally stable

Published on 27 Mar 2026 - 11:46

score 847 · Answer 4 · 2026-03-26 20:38:27

847

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Relative Gain Array of a singular matrix

Published on 26 Mar 2026 - 20:38

score 213 · Answer 5 · 2015-05-29 12:07:32

213

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Synchronization of Rossler system - the Rossler Attractor

Published on 29 May 2015 - 12:07

score 558 · Answer 6 · 2015-06-04 08:54:22

558

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Checking the stability of an equilibrium point

Published on 04 Jun 2015 - 8:54

score 195 · Answer 7 · 2026-03-26 20:43:33

195

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Feedforward control - Developing an understanding

Published on 26 Mar 2026 - 20:43

score 267 · Answer 8 · 2015-06-09 08:48:51

267

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Nyquist Stability Criterion

Published on 09 Jun 2015 - 8:48

score 2.2k · Answer 9 · 2026-04-01 10:41:31

2.2k

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controllability of a system (control theory)

Published on 01 Apr 2026 - 10:41

score 50 · Answer 10 · 2015-06-11 21:12:11

50

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Given dynamic system $\dot x = Ax + Bu$, how can we prove that $M$ = {$(A,B)$: system is controllable} is an open set on an Euclidean space?

Published on 11 Jun 2015 - 21:12

score 838 · Answer 11 · 2015-06-18 18:16:12

838

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From multivariable system transfer function matrix to state space representation

Published on 18 Jun 2015 - 18:16

score 155 · Answer 12 · 2015-06-19 12:06:44

155

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matrix inequality proof [completion of squares]

Published on 19 Jun 2015 - 12:06

score 1k · Answer 13 · 2015-06-21 05:33:45

1k

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How to Invert the Euler Lagrange Equations?

Published on 21 Jun 2015 - 5:33

score 6.5k · Answer 14 · 2015-06-21 23:04:37

6.5k

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In control theory, why do we linearize around the equilibrium for a nonlinear system?

Published on 21 Jun 2015 - 23:04

score 971 · Answer 15 · 2015-06-23 17:27:19

971

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Solution to a state-space equation

Published on 23 Jun 2015 - 17:27

List Question

How to prove for a system with rational stable transfer function, the output is square integrable?

How to prove that $L_2[0,\infty)$ space is linearly isomorphic to $\mathcal{H}_2$ the space of analytic in $Re(s)>0$ functions?

Example of BIBO stable system that is not internally stable

Relative Gain Array of a singular matrix

Synchronization of Rossler system - the Rossler Attractor

Checking the stability of an equilibrium point

Feedforward control - Developing an understanding

Nyquist Stability Criterion

controllability of a system (control theory)

Given dynamic system $\dot x = Ax + Bu$, how can we prove that $M$ = {$(A,B)$: system is controllable} is an open set on an Euclidean space?

From multivariable system transfer function matrix to state space representation

matrix inequality proof [completion of squares]

How to Invert the Euler Lagrange Equations?

In control theory, why do we linearize around the equilibrium for a nonlinear system?

Solution to a state-space equation

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