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An observability problem for a class of uncertain-parameter linear dynamic systems

Krzysztof Oprzędkiewicz — 2005

International Journal of Applied Mathematics and Computer Science

An observability problem for a class of linear, uncertain-parameter, time-invariant dynamic SISO systems is discussed. The class of systems under consideration is described by a finite dimensional state-space equation with an interval diagonal state matrix, known control and output matrices and a two-dimensional uncertain parameter space. For the system considered a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the base...

Modeling heat distribution with the use of a non-integer order, state space model

Krzysztof Oprzędkiewicz;  Edyta Gawin;  Wojciech Mitkowski — 2016

International Journal of Applied Mathematics and Computer Science

A new, state space, non-integer order model for the heat transfer process is presented. The proposed model is based on a Feller semigroup one, the derivative with respect to time is expressed by the non-integer order Caputo operator, and the derivative with respect to length is described by the non-integer order Riesz operator. Elementary properties of the state operator are proven and a formula for the step response of the system is also given. The proposed model is applied to the modeling of temperature...

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