- What operators can appear as state transition (fundamental) ones, \(\Phi(t)\)?
- Dual evolution.
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.
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.