System Composition

Related lectures (32)

Page 3 of 4

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Introduces the Nyquist criterion to determine system stability and covers BIBO stability and stability conditions.

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

Covers completely reducible representations, simple modules, semisimple modules, and G-stable submodules.

Covers the concept of eigenfunctions of H as bases for irreducible representations and integrals.

Explores the embedding of chi-varieties into vector spaces with linear actions.

Explores the implications of the Z-transform for Linear Time-Invariant (LTI) systems.

Covers the Laplace transform basics, including examples of complex-valued poles and its application to LTI systems.