DocumentCode :
815180
Title :
Bilinear systems: An appealing class of "nearly linear" systems in theory and applications
Author :
Bruni, Carlo ; Dipillo, Gianni ; Koch, Giorgio
Author_Institution :
University of Rome, Rome, Italy
Volume :
19
Issue :
4
fYear :
1974
fDate :
8/1/1974 12:00:00 AM
Firstpage :
334
Lastpage :
348
Abstract :
Recently, attention has been focused on the class of bilinear systems, both for its applicative interest and intrinsic simplicity. In fact, it appears that many important processes, not only in engineering, but also in biology, socio-economics, and ecology, may be modeled by bilinear systems. Moreover, since their nonlinearity is due to products between input and state variables, this class frequently may be studied by techniques similar to those employed for linear systems. This work is intended to motivate the interest of bilinear systems and to present the current state of research in its various aspects. After an introductory section, in which theoretical and applicative aspects of bilinear systems are enlightened, four other sections follow, respectively, devoted to structural properties, mathematical models, identification and optimization. In a final section, some concluding remarks are made on still open problems and possible trends for future research.
Keywords :
Bibliographies; Optimal control; System identification; Biological system modeling; Computational biology; Control systems; Environmental factors; Linear systems; Linearity; Mathematical model; Nonlinear systems; Stochastic systems; Systems biology;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1974.1100617
Filename :
1100617
Link To Document :
بازگشت