Geometric Methods in System Theory [E-Book] : Proceedings of the NATO Advanced Study Institute held at London, England, August 27-September 7, 1973 / edited by D. Q. Mayne, R. W. Brockett.
Brockett, R. W., (editor)
Mayne, D. Q., (editor)
Dordrecht : Springer, 1973
VII, 314 p. online resource.
NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences ; 3
Full Text
Table of Contents:
  • 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.