Geometric Methods in System Theory

Dynamical polysystems and control theory.- Lie algebras and lie groups in control theory.- Realization theory of bilinear systems.- An introduction to stochastic differential equations on manifolds 131.- General theory of global differential dynamics.- Two proofs of Chow’s theorem.- On necessary and sufficient conditions for localcontrollability along a reference trajectory.- The high order maximal principle.- Optimal control on manifolds.- Problems in geodesic control.- Controllability in nonlinear systems.- Control theory in transformation systems.- The imbedding problem for finite Markov chains.- Some remarks on the geometry of systems.- Minimal realizations of nonlinear systems.- Causal dynamical systems: irreducible realizations.- On the internal structure of bilinear input-output maps.- Optimal control of discrete bilinear systems.- Diffusions on manifolds arising from controllable systems.- Signal detection on lie groups.- Some estimation problems on lie groups.