© 1996 by Institute of Mathematics and its Applications
Qualitative dynamics, root-loci and asymptotic structure of universal adaptive stabilizers



Centre for Systems and Control Engineering, University of Exeter EX4 4QF
A problem of universal adaptive stabilization in Rn is approached in a qualitative manner to relate the form of the trajectories in the extended state space Rn+1 to the root locus of the associated fixed-parameter linear system. Relationships are derived between the values of the limit gain and the initial conditions. Numerical studies are used to illustrate and support these ideas by computation of generic trajectories and attempted computation of certain non-generic possibilities. The implications of the study for more general dynamic situations are outlined.
These authors are also with the Department of Mathematics, University of Exeter, EX4 4QE.