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The nabla difference model of the operational calculus

Wysocki H.

Demonstratio Mathematica

2013

Vol. 46, nr 2

315--326

In the paper, there has been constructed the (...)-model of the Bittner operational calculus for the backward difference (…) in the space of two-sided sequences. A form of the Taylor’s formula has been derived. Applying the operation (...), the (...)-model has been generalized.

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.

Controllability of a generalized linear control system

Wysocki H.

Archives of Control Sciences

1998

Vol. 7, no. 1/2

43-67

In this paper, a definition of controllability of a generalized linear differential control system is introduced using the Bittner operational calculus. Controllability criteria are also discussed. Adequate examples in various models of the operational calculus are given.