Abstract:
The impulse sensitivity of non-stationary linear dynamic systems is investigated. The functions
of sensitivity of the output variables derivatives to jumps of piecewise-constant control are obtained
in terms of coefficients of the equations, describing systems in "input-output" variables. The
matrices of impulse sensitivity are applied to a solution of the problem of design of ? -optimal controls
ensuring a beforehand specific accuracy of tracking of desirable movements on any time interval if
there are restrictions on output signals and their derivatives. Necessary and sufficient conditions of
robustness and ? -optimality of offered invariant control laws in geometric and determinant forms are
proved.