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Minimize $\mathrm{tr}(B'XB)$ where $X$ is solution for DARE

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#linear-algebra #optimization #matrix-equations #control-theory #linear-control
187
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On steering the state of an LTI system to a desired state and keeping it there

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#real-analysis #ordinary-differential-equations #dynamical-systems #control-theory #linear-control
37
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Evans and Murthy: if $\sum_{i=0}^r a_iA^ib=0 , a_i > 0 , i = 0,1,\dots,r$ then $x$ can be expressed as a linear combination of $A^ib$

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#dynamical-systems #control-theory #linear-control #discrete-time
57
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How to use the D'Alembert formula to study controllability and stability?

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#partial-differential-equations #reference-request #control-theory #wave-equation #linear-control
114
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If $(A,B)$ is controllable, is $(A^\ast, B^\ast)$ too?

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#control-theory #linear-control
70
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Gramien operator of controllability!

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#control-theory #optimal-control #linear-control #adaptive-control
81
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Reference for linear system theory result

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#control-theory #linear-control
346
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Control system problem

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#linear-algebra #optimization #control-theory #linear-control
76
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Is it possible to find the LQR control law if I know the state vector $X$ and the feedback signal $u_f$?

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#control-theory #optimal-control #linear-control #pseudoinverse #system-identification
40
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Why does requresive least squares need to have a variance onto the input signal?

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#systems-of-equations #dynamical-systems #control-theory #linear-control #system-identification
739
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Observability matrix of a state-space representation

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#matrices #dynamical-systems #control-theory #linear-control
86
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doubling time and closed loop bandwidth

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#control-theory #optimal-control #linear-control #pi-controller
278
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Uncontrolable subset and stabilizability of a linear dynamical system

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#linear-algebra #ordinary-differential-equations #dynamical-systems #control-theory #linear-control
210
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Measure for controllability of eigenvalues of an LTI system

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#control-theory #linear-control
191
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Alternative rank test for controllability (purely linear-algebra problem)

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-rank #linear-control

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