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In the theory and practice of control systems design a model of the desired behavior which state matrix has the Newton's binary distribution of eigenvalues has found its widespread usage. Using the transfer functions apparatus in a structural representation of these systems yields systems in the form of a sequence of similar first order aperiodic blocks. The transient response of the system is characterized...
The paper presents research made on deflection of trajectories of discrete systems in the norm of state vector of free motion from the monotone development in the case of multiple real positive eigenvalues of state matrices. It was found that the magnitude of deflection of the trajectories from monotone development increases with the approach of multiple eigenvalue to one and increase in its multiplicity...
The gramian-based approach is proposed for estimation of control costs. The inputs of object are considered to be finite-dimensional. Authors proposed to consider the norm of control vector as a measure of system power consumption, which could be estimated by upper and lower bounds. These control cost bounds are calculated by means of singular values of control costs gramian and the norm of initial...
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