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Author: Tomáš Gedeon
Publisher: American Mathematical Soc.
ISBN: 0821807838
Category : Mathematics
Languages : en
Pages : 89
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Book Description
Explores the global dynamics of a class of ordinary differential equations called cyclic feedback systems. The global dynamics is described by a Morse decomposition of the global attractor, defined with the help of a discrete Lyapunov function. A three-dimensional system of ODE's with two linear equations is constructed, such that the invariant set is at least as complicated as a suspension of a full shift on two symbols. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Tomáš Gedeon
Publisher: American Mathematical Soc.
ISBN: 0821807838
Category : Mathematics
Languages : en
Pages : 89
Get Book Here
Book Description
Explores the global dynamics of a class of ordinary differential equations called cyclic feedback systems. The global dynamics is described by a Morse decomposition of the global attractor, defined with the help of a discrete Lyapunov function. A three-dimensional system of ODE's with two linear equations is constructed, such that the invariant set is at least as complicated as a suspension of a full shift on two symbols. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Karl Johan Åström
Publisher: Princeton University Press
ISBN: 069121347X
Category : Technology & Engineering
Languages : en
Pages :
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Book Description
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Author: John Mallet-Paret
Publisher:
ISBN:
Category : Delay differential equations
Languages : en
Pages : 57
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Book Description
Author: A. I. Mees
Publisher: John Wiley & Sons
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 234
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Book Description
Author: Iosif Vulfson
Publisher: Springer
ISBN: 3319126342
Category : Technology & Engineering
Languages : en
Pages : 402
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Book Description
This book focuses on the methods of dynamic analysis and synthesis of machines, comprising of cyclic action mechanisms, such as linkages, cams, steppers, etc. It presents the modern methods of oscillation analysis in machines, including cyclic action mechanisms (linkage, cam, stepper, etc.). Thus, it builds a bridge between the classic theory of oscillations and its practical application in the dynamic problems for cyclic machines. The author take into account that, in the process of training engineers for jobs in engineering industries, producing cyclic machines, insufficient attention is paid, until now, to the problems of dynamic and especially to oscillations.
Author: Domitilla Del Vecchio
Publisher: Princeton University Press
ISBN: 1400850509
Category : Science
Languages : en
Pages : 287
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Book Description
This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It then describes in detail the control and dynamical systems tools used to analyze these models. These include tools for analyzing stability of equilibria, limit cycles, robustness, and parameter uncertainty. Modeling and analysis techniques are then applied to design examples from both natural systems and synthetic biomolecular circuits. In addition, this comprehensive book addresses the problem of modular composition of synthetic circuits, the tools for analyzing the extent of modularity, and the design techniques for ensuring modular behavior. It also looks at design trade-offs, focusing on perturbations due to noise and competition for shared cellular resources. Featuring numerous exercises and illustrations throughout, Biomolecular Feedback Systems is the ideal textbook for advanced undergraduates and graduate students. For researchers, it can also serve as a self-contained reference on the feedback control techniques that can be applied to biomolecular systems. Provides a user-friendly introduction to essential concepts, tools, and applications Covers the most commonly used modeling methods Addresses the modular design problem for biomolecular systems Uses design examples from both natural systems and synthetic circuits Solutions manual (available only to professors at press.princeton.edu) An online illustration package is available to professors at press.princeton.edu
Author: Ligen Tian
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
Author: Robert A. Meyers
Publisher: John Wiley & Sons
ISBN: 3527326073
Category : Science
Languages : en
Pages : 729
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Book Description
Systems biology is a relatively new biological study field that focuses on the systematic study of complex interactions in biological systems, thus using a new perspective (integration instead of reduction) to study them. Particularly from year 2000 onwards, the term is used widely in the biosciences, and in a variety of contexts. Systems biology is the study of the interconnected aspect of molecular, cellular, tissue, whole animal and ecological processes, and comprises mathematical and mechanistic studies of dynamical, mesoscopic, open, spatiotemporally defined, nonlinear, complex systems that are far from thermodynamic equilibrium.
Author: Sophia von Berg
Publisher: Cuvillier Verlag
ISBN: 3736963327
Category : Business & Economics
Languages : en
Pages : 282
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Book Description
Today, firms all over the world have to deal with dynamic business environments. Fast-moving digitalization has made information more transparent, strengthening the role of the customer. At the same time, the provider can have a much closer relationship with the user, thanks to real-time communication. However, corporate practice does not have a process for developing dynamic business models, and user-centric business models that can be designed and changed using smart technologies have not yet been systematically integrated. To stay competitive, companies need to rise to this challenge. The aim of this dissertation was to develop a dynamic, user-centric process model for business model design and change, and to evaluate the model’s ability to maintain a competitive advantage in the mobility sector. First, the differences between static, dynamic, and user-centric business models and their corresponding attributes were deduced. Then, these findings were combined into a process model using system dynamics logic. This model considers the user a co-creator of value and helps managers react to real-time changes in their business model environment. Finally, a mobility sector case study is presented to highlight the relevance of this model to real-world application. This business model cycle (BMC) supports the strategic management of dynamic, user-centric business model design and change activities. It describes a step by step procedure of business model design that includes ideation, prototyping, and integration of business model options. Moreover, it allows continuous monitoring of the business model environment and adaption of the model accordingly. At the same time, bidirectional interaction between the user and provider is possible, allowing the provider to adapt to their users’ needs. The BMC is unique in that these processes can take place simultaneously. Finally, the real-world case study in the mobility sector confirmed that using the BMC for strategic management maintains a lasting competitive business advantage.
Author: Vladimir G. Ivancevic
Publisher: Springer Science & Business Media
ISBN: 1402054564
Category : Science
Languages : en
Pages : 711
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Book Description
This graduate–level textbook is devoted to understanding, prediction and control of high–dimensional chaotic and attractor systems of real life. The objective is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high–dimensional chaotic and attractor dynamics. From introductory material on low-dimensional attractors and chaos, the text explores concepts including Poincaré’s 3-body problem, high-tech Josephson junctions, and more.
