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Ideal observability for bilinear discrete-time systems with and without delays in observation

Lhous M., Rachik M., Magri E. M.

Archives of Control Sciences

2018

Vol. 28, No. 4

601--616

An ideal observability subspace expression is stated for bilinear abstract system with bounded operator in Hilbert spaces. The case of finite dimentional space is also treated. However, it’s noticed that the state ideal observability can never be fulfilled within an infinite dimensional phase space in the case of scalar output. The case of bilinear discrete-time system with delays in observation is also described. To illustrate this work some examples are presented.

Weak and exact domination in distributed systems

Afifi L., Magri E. M., El Jai A.

International Journal of Applied Mathematics and Computer Science

2010

Vol. 20, no 3

419-426

In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a comparison between input or output operators. We give the main algebraic properties of such relations, as well as characterizations of exact and weak domination. We also study the case of actuators, and various situations are examined. Applications and illustrative examples are also given. By duality, we extend this study to observed systems. We obtain similar results and properties, and the case of sensors is equally examined.