Spring Lectures N. 18: Geometric Mechanics, Dynamical systems and Control Theory (1995).

Principal Lecturer: Jerrold E. Mardsen (University of California, Berkeley)

Contributions by:

G. Haller, "Diffusion in Hamiltonian systems"

R. Montgomery, "Su-Riemannian geometry"

A. Shoshitaishvili, "Some new problems in Control Theory"

L. Drager, "Controllability of linear systems, Riccati equations and the geometry of generalized grassmannians"

T. Ratiu, "Poisson and semidirect product reduction theory"

M. Alber, "On umbilic geodescis and soliton solutions of nonlinear PDE's"

D. Mittenhuber, "Hamiltonian systems on Liegroups: application to problems in Lie semigroups"

G. Misiolek, "Conjugate points on diffeomorphism groups and hydrodynamics"

B. Zaslavsky, "Feedback stabiliztion of any number of connected oscillators with uncontrollable Linearization"

M. Silber, "Bifurcation in the presence of Symmetry"

V. Jurdjevic, "Constrained Hamiltonian Systems"

G. Wolansky, "Stability of stationary Solutions of Vlasov type and Flow equations in the presence of Symmetries"

E. Barany, "Adaptive control and non-lienar dynamics"

R. Murray, "Geometric Phases and Robotic Locomotion"

P. Tantalo, "Classical Berry Phases for the rigid body"

N. Leonard, "averaging, rigid body dynamics, holonomy and control"

M. Shapiro, "Cartan cone distribution and non-singularity of solutions of finite Toda Lattice"

S. Singer, " Complex variable action for Toda Lattice"

P. Krishnaprasad, "Geometry of non-holonomic systems on Lie groups"

A. Bloch, "Lagrangian and Hamiltionan formulation of Constrained variational problems",

A. Sarychev, "Optimal control for 2-chained systems"

K. Ehiers, " Geomtetric phases in swimming micro-organisms"

G. Walsh, "Issues regarding stabilization of constrained mechanical systems"

B. Shapiro, "On classification of syplectic leaves for the Gelfand-Dickey bracket,...."

A. Burov, "On restrictness and complementarity in rigid body dynamics"

G. Osipenko, "Methods of applied symbolic mechanics"

L. Norris, "n-symplectic geoemtry on frame bundles"

J. Lawson, "Generalized symplectic geometry as a covering theory for the hamiltonian theory for the Hamiltonian theories of classical particles and fields"

S. Kresic-Juric, "Loop groups, discretized Neumann oscillator and Matrix Riccati".