New Approaches to Identifying Structures Using Geometric Structure Analysis: Design and Adaptation

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Nikolay Nikolayevich Karabutov

New Approaches to Identifying Structures Using Geometric Structure Analysis

Design and Adaptation

Nikolay Nikolayevich Karabutov

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English

Engineering Science Reference
10 September 2025

Calculus & mathematical analysis; Analytic geometry; Linear programming

An actual problem of identification theory is considered related to the non-formalized task of evaluating the model structure. Novel approaches to structural identification (SI) propose solutions to various problems of identification theory based on the analysis of geometric frameworks (GFs). This formalized approach to the structural identifiability (SID) for nonlinear dynamical systems of various classes shows that structural identifiability follows from SI. Additionally, based on the GF, estimates for the Lyapunov exponents (LEs) of dynamical systems are shown to be recoverable, detectable, and identifiable. When combined with synthesized methods and algorithms, they can be applied to the construction of mathematical models for complex processes and systems. Thus, they can be used in decision-making systems, process forecasting, control of nonlinear systems, and processing of heterogeneous time series. Novel Approaches to Structural Identification Using Geometric Framework Analysis proposes various solutions to the problem of identification theory. It discusses the development of adaptive identification and control systems for analyzing complex processes and systems. Covering topics such as parametric restrictions, distributed lags, and interconnected systems, this book is an excellent resource for data analysis specialists, mathematical software developers, professionals, researchers, scholars, academicians, and more.

By: Nikolay Nikolayevich Karabutov
Imprint: Engineering Science Reference
Country of Publication: United States
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9798337308234
Pages: 444
Publication Date: 10 September 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Nikolay Karabutov graduated from Kharkiv Institute of Radio Electronics (Ukraine) in 1972. He got his PhD in 1982. He got his Doctor of Engineering in 1993. He obtained an academic title of the Professor in 1998. Head of the Department of Informatics and Computer Technologies of the Moscow State Academy of the Water Transport (1995-2002). He is Professor of Problem Control Department at MIREA - Russian Technological University since 2002. Professor Karabutov got the State Award in Science and Technology of the Russian Federation in 1995 for researches on adaptive systems. He was the Professor of Department of Applied Informatics under the Moscow State Industrial University (2002-20014), professor Mathematics department of the Moscow Financial University (2011-2014), professor Department of Applied Informatics of Moscow Polytechnic University.