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Asian Conference on Intelligent Information and Database Systems

ACIIDS 2015: Intelligent Information and Database Systems pp 313–323Cite as

Trajectory Controllability of Semilinear Systems with Delay

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9011))

Abstract

The finite-dimensional dynamical control system described by scalar semilinear ordinary differential state equation with delay is considered in this paper. The semilinear state equation contains both nonlinear perturbations and pure linear part. The concept of relative controllability on trajectory relative controllability for systems with point delay in control and in nonlinear term was extended. Finally, the remarks and comments on the relationships between different concepts of controllability were presented and the possible extensions proposed.

The research presented here were done by the authors as parts of the projects funded by the National Science Centre granted according to decisions DEC-2012/05/B/ST7/00065, DEC-2012/07/B/ST7/01404, DEC-2012/07/N/ST7/03236 and DEC-2014/13/B/ST7/00755, respectively. The calculations were performed with the use of IT infrastructure of GeCONiI Upper Silesian Centre for Computational Science and Engineering (NCBiR grant no POIG.02.03.01-24-099/13).

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Authors and Affiliations

  1. Faculty of Automatic Control, Electronics and Computer Science, Institute of Automatic Control, Silesian University of Technology, Akademicka 16 Street, 44-101, Gliwice, Poland

    Jerzy Klamka, Adam Czornik, Michał Niezabitowski & Artur Babiarz

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  1. Jerzy Klamka
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  2. Adam Czornik
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  3. Michał Niezabitowski
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  4. Artur Babiarz
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Correspondence to Michał Niezabitowski .

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Editors and Affiliations

  1. Ton Duc Thang University, Ho Chi Minh city, Vietnam

    Ngoc Thanh Nguyen

  2. Wroclaw University of Technology, Wroclaw, Poland

    Bogdan Trawiński

  3. Bina Nusantara University, Jakarta, Indonesia

    Raymond Kosala

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Klamka, J., Czornik, A., Niezabitowski, M., Babiarz, A. (2015). Trajectory Controllability of Semilinear Systems with Delay. In: Nguyen, N., Trawiński, B., Kosala, R. (eds) Intelligent Information and Database Systems. ACIIDS 2015. Lecture Notes in Computer Science(), vol 9011. Springer, Cham. https://doi.org/10.1007/978-3-319-15702-3_31

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