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Nonlinear Hybrid Continuous Discrete Time Models

Nonlinear Hybrid Continuous Discrete Time Models PDF

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Author: Marat Akhmet
Publisher: Springer Science & Business Media
ISBN: 9491216031
Size: 25.41 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 216
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Book Description: 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.


Fractional Dynamics And Control

Fractional Dynamics and Control PDF

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Author: Dumitru Baleanu
Publisher: Springer Science & Business Media
ISBN: 9781461404576
Size: 76.57 MB
Format: PDF, ePub
Category : Technology & Engineering
Languages : en
Pages : 310
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Book Description: Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.


Lmis In Control Systems

LMIs in Control Systems PDF

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Author: Guang-Ren Duan
Publisher: CRC Press
ISBN: 1466583002
Size: 80.39 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 483
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Book Description: Although LMI has emerged as a powerful tool with applications across the major domains of systems and control, there has been a need for a textbook that provides an accessible introduction to LMIs in control systems analysis and design. Filling this need, LMIs in Control Systems: Analysis, Design and Applications focuses on the basic analysis and d


Dynamic Systems And Control With Applications

Dynamic Systems And Control With Applications PDF

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Author: Ahmed Nasir Uddin
Publisher: World Scientific Publishing Company
ISBN: 9813106824
Size: 49.92 MB
Format: PDF, Docs
Category :
Languages : en
Pages : 468
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Book Description: In recent years significant applications of systems and control theory have been witnessed in diversed areas such as physical sciences, social sciences, engineering, management and finance. In particular the most interesting applications have taken place in areas such as aerospace, buildings and space structure, suspension bridges, artificial heart, chemotherapy, power system, hydrodynamics and computer communication networks. There are many prominent areas of systems and control theory that include systems governed by linear and nonlinear ordinary differential equations, systems governed by partial differential equations including their stochastic counter parts and, above all, systems governed by abstract differential and functional differential equations and inclusions on Banach spaces, including their stochastic counterparts. The objective of this book is to present a small segment of theory and applications of systems and control governed by ordinary differential equations and inclusions. It is expected that any reader who has absorbed the materials presented here would have no difficulty to reach the core of current research.


Nonautonomous Dynamical Systems

Nonautonomous Dynamical Systems PDF

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Author: Peter E. Kloeden
Publisher: American Mathematical Soc.
ISBN: 0821868713
Size: 29.53 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 264
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Book Description: The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.


Linear Dynamic Systems And Signals

Linear Dynamic Systems and Signals PDF

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Author: Zoran Gajic
Publisher: Prentice Hall
ISBN: 9780201618549
Size: 31.52 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 646
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Book Description: The author's twelve years of experience with linear systems and signals are reflected in this comprehensive book. The book contains detailed linear systems theory essentials. The intent of this book is to develop the unified techniques to recognize and solve linear dynamical system problems regardless of their origin. Includes Space state techniques as the time domain approach for studying linear systems. Provides a solid foundation on linear dynamic systems and corresponding systems using the dynamic system point of view. Parallels continuous- and discrete-time linear systems throughout to help users grasp the similarities and differences of each. Three part organization: Part I covers frequency-domain approach to linear dynamic systems, Part II covers the time-domain approach to linear dynamic systems, and Part III discusses the linear system approach to electrical engineering, to allow the user to focus of the subject matter as it pertains to their needs. For anyone interested in linear systems and signals


Quantitative Energy Finance

Quantitative Energy Finance PDF

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Author: Fred Espen Benth
Publisher: Springer Science & Business Media
ISBN: 1461472482
Size: 44.10 MB
Format: PDF, ePub
Category : Business & Economics
Languages : en
Pages : 308
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Book Description: Finance and energy markets have been an active scientific field for some time, even though the development and applications of sophisticated quantitative methods in these areas are relatively new—and referred to in a broader context as energy finance. Energy finance is often viewed as a branch of mathematical finance, yet this area continues to provide a rich source of issues that are fuelling new and exciting research developments. Based on a special thematic year at the Wolfgang Pauli Institute (WPI) in Vienna, Austria, this edited collection features cutting-edge research from leading scientists in the fields of energy and commodity finance. Topics discussed include modeling and analysis of energy and commodity markets, derivatives hedging and pricing, and optimal investment strategies and modeling of emerging markets, such as power and emissions. The book also confronts the challenges one faces in energy markets from a quantitative point of view, as well as the recent advances in solving these problems using advanced mathematical, statistical and numerical methods. By addressing the emerging area of quantitative energy finance, this volume will serve as a valuable resource for graduate-level students and researchers studying financial mathematics, risk management, or energy finance.


Theory Of Hybrid Systems Deterministic And Stochastic

Theory of Hybrid Systems  Deterministic and Stochastic PDF

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Author: Mohamad S. Alwan
Publisher: Springer
ISBN: 9811080461
Size: 70.64 MB
Format: PDF, Docs
Category : Technology & Engineering
Languages : en
Pages : 241
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Book Description: This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.


Impulsive Control In Continuous And Discrete Continuous Systems

Impulsive Control in Continuous and Discrete Continuous Systems PDF

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Author: Boris Miller
Publisher: Springer Science & Business Media
ISBN: 9780306474736
Size: 28.10 MB
Format: PDF
Category : Technology & Engineering
Languages : en
Pages : 447
View: 2972

Book Description: This is an up-to-date introduction to the theory of impulsive control in nonlinear systems - a branch of optimal control theory, which is tightly connected to the theory of hybrid systems. The text introduces the reader to the area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book should be useful as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.