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The use of impulse-function and its derivatives for changing the state of a multi-input multi-output differential system in (almost) zero time

Kalogeropoulos G. I., Karageorgos A. D., Pantelous A. A.

Systems Science

2008

Vol. 34, no 3

11-15

In many practical applications, the (almost) zero time state changing is more than important. Thus, in this short paper we develop a methodology for the state changing of a multi-input multi-output linear control differential system by using a linear combination of Dirac δ-function and its derivatives. Obviously, such an input is very hard to imagine physically. Using linear algebra techniques and the generalized inverse theory, the input's coefficients are fully determined. Finally, the whole work ends up with the analytic presentation of an illustrative numerical example.

Observability of a generalized linear control system

Wysocki H.

Archives of Control Sciences

2001

Vol. 11, no. 1/2

77-90

In this paper a definition of observability of a generalized linear differential control system in the terms of the Bittner Operational Calculus is introduced. Some observability criteria are also discussed.