september 18


  • What operators can appear as state transition (fundamental) ones, \(\Phi(t)\)?
  • For LTVs, any operator \(\Phi\) with \(\det(\Phi)>0\) can be a fundamental solution; for LTIs the situation is far more complicated (say, the diagonal matrix with \(-1, -2\) on the diagonal cannot be a fundamental solution.

  • Dual evolution.

Stability of linear systems

Lyapunov stability, asymptotic stability, global asymptotic stability – definitions.

Global asymptotic stability for LTI.

Hurwitz operators. Multiple eigenvalues and Jordan normal forms.

Lyapunov’s direct method

2 Responses to september 18