Time variation of the attainability domain boundary for systems of third orderстатья
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Аннотация:We consider linear steady-state systems of third order with one controlling (perturbing) action. The control action is assumed to be limited in absolute value and to be contained in the set of piecewise continuous functions. The case is investigated when our system has two complex conjugated and one real eigenvalues. Variation of the attainability region as time increases is studied. We show analytically that the changing of the attainability region with time variation depends on the correlation between the real parts of the eigenvalues.