I. E. ZUBER
Saint-Petersburg State University,
Department of Theoretical cybernetics,
28 Universitetskaya str., 198504 St. Petersburg, RUSSIA,
Nonlinear smooth and totally controllable systems are considered.
If state vector is totally measurable the solution of terminal
problem is received as definition of spectrum of matrix, for
transformed into canonical form closed loop system which provides a
fulfillment of terminal condition.
If only scalar output of system is measurable, then the solution of the
weak terminal problem for nonlinear totally controllable and
observable system is performed as a
synthesis of observer which allows to provide the matrix of closed
loop transformed system with designed spectrum. The design of spectrum
and condition on velocity of decreasing for the Lyapunov function of
mistakes equation of an observer provides the fulfilment of the weak
terminal condition.