Nonlinear Hybrid Continuous/Discrete-Time Models

Author/creator Akhmet, Marat Author
Format Electronic
Publication InfoAmsterdam : Atlantis Press (Zeger Karssen) Secaucus : Springer [Distributor]
Descriptionxiii, 216 p. ill 23.500 x 015.500 cm.
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Mathematics and Statistics eBooks 2011 English International

Summary Annotation 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.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9789491216022
ISBN9491216023 (Trade Cloth) Active Record
Standard identifier# 9789491216022
Stock number9491216023 01581979

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