2011 | Buch
Nonlinear Hybrid Continuous/Discrete-Time Models
Buchreihe: Atlantis Studies in Mathematics for Engineering and Science
Autor: Marat Akhmet
Verlag: Atlantis Press
Print ISBN: 978-94-91216-02-2
Electronic ISBN: 978-94-91216-03-9
2011 | Buch
Buchreihe: Atlantis Studies in Mathematics for Engineering and Science
Autor: Marat Akhmet
Verlag: Atlantis Press
Print ISBN: 978-94-91216-02-2
Electronic ISBN: 978-94-91216-03-9
The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.
Version: 20191022065364_0.299.0_fa2f1b0