LMIs in Control/Click here to continue/Controller synthesis/Stabilizability LMI: Revision history

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11 December 2021

  • curprev 13:2613:26, 11 December 2021 imported>Margav06 3,293 bytes +3,293 Created page with "<big><big>'''Stabilizability LMI'''</big></big> A system is stabilizable if all unstable modes of the system are controllable. This implies that if the system is controllable, it will also be stabilizable. Thus, stabilizability is a essentially a weaker version of the controllability condition. The LMI condition for stabilizability of pair <math>(A,B)</math> is shown below. == '''The System''' == :<math> \begin{align} \dot x(t)&=Ax(t)+Bu(t),\\ x(0)&=x_0, \end{align}</..."