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A new method for analytic determination of extremum of the transients in linear systems

Górecki H.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2009

Vol. 57, nr 2

153-155

The relation between extremal values of the error and the coefficients of its differential equations is one of the central problems of control systems in chemical industry, becouse extremal values of the error sometimes cause serious damages to the environment or to the system itself. Analytical formulae for the determination of these values are known only for the second-order systems. In this paper a method which permits to determine extremal values of the error in higher-order systems is proposed.

A new method for analytic determination of extremum of the transients in linear systems

Górecki H.

Control and Cybernetics

2004

Vol. 33, no 2

275-295

The relation between extremal values of the error and the coefficients of its differential equations is one of the central problems of control systems in chemical industry, because extremal values of the error sometimes cause serious damages to the environment or to the system itself. Analytical formulae for the determination of these values are known only for the second-order systems. In this paper a method which permits to determine extremal values of the error in higher-order systems is proposed.

Observability of linear stationary system with delay

Minyuk S., Tsekhan O.

Systems Science

2002

Vol. 28, nr 3

5-17

The necessary and sufficient parametric conditions of complete observability (complete identifiability) of linear stationary system with delay are obtained. An example of completely identifiable but not completely observable system is given. The problem of continuous identification for the spectral observable second order system with delay is investigated. The continuation identification operator for this system is constructed in an explicit form.