List questions from control-theory

Published on 24 Mar 2014 - 14:53

288

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Prove that $A$ is marginally stable iff there exist a $P$ $\in$ $S^n$, $P \succ 0$ such that $A^T P+ PA \leq 0$

Published on 24 Mar 2014 - 15:23

329

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Prove that $(A,B)$ is uncontrollable $\Longleftrightarrow$ $\exists P$ $\in$ $\mathbb{R}^{nxn}$, $P \neq 0$: $PA - AP = 0$, $PB=0$

Published on 25 Mar 2026 - 19:12

237

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On the first Lyapunov method, when the linearization fails

Published on 26 Mar 2014 - 8:48

129

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How to control a System that tends to Zero

Published on 25 Mar 2026 - 19:10

604

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Breakaway Point in Root-Locus

Published on 03 Apr 2014 - 12:24

169

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Linearity and nonlinearity of systems

Published on 06 Apr 2014 - 15:31

464

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The range of the controllability matrix

Published on 08 Apr 2014 - 8:50

43

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making a function non-linear using a Lagrangian function

Published on 16 Apr 2014 - 9:42

1.8k

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How are the tracking error and plant input related in a PID controller?

Published on 16 Apr 2014 - 21:06

104

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Damped systems - deriving equation

Published on 18 Apr 2014 - 12:48

207

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Determine the transient response

Published on 18 Apr 2014 - 15:35

673

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How to plot $\dot{x}= Ax + Bu$ (x versus t, by matlab)

Published on 21 Apr 2014 - 23:45

150

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Is this a discrete time Lyapunov function?

Published on 25 Apr 2014 - 1:00

100

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Nyquist diagram of transfer function

Published on 26 Mar 2026 - 6:19

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Prove that $A$ is marginally stable iff there exist a $P$ $\in$ $S^n$, $P \succ 0$ such that $A^T P+ PA \leq 0$

Prove that $(A,B)$ is uncontrollable $\Longleftrightarrow$ $\exists P$ $\in$ $\mathbb{R}^{nxn}$, $P \neq 0$: $PA - AP = 0$, $PB=0$

On the first Lyapunov method, when the linearization fails

How to control a System that tends to Zero

Breakaway Point in Root-Locus

Linearity and nonlinearity of systems

The range of the controllability matrix

making a function non-linear using a Lagrangian function

How are the tracking error and plant input related in a PID controller?

Damped systems - deriving equation

Determine the transient response

How to plot $\dot{x}= Ax + Bu$ (x versus t, by matlab)

Is this a discrete time Lyapunov function?

Nyquist diagram of transfer function

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