System EquivalenceExplores system equivalence, state-space representation, transfer functions, and Euclidean rings, emphasizing unimodular matrices and their properties.
Cyclic Subspace DecompositionExplores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.
MIMO Pole PlacementCovers MIMO polynomial pole placement and state-feedback realization using the Lyapunov equation.
Observer DesignCovers the design of observers in control systems and the computation of state feedback controllers.
Controllability and ObservabilityCovers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.