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Modeling with Nonsmooth Dynamics, Jeffrey Mike R.


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Автор: Jeffrey Mike R.
Название:  Modeling with Nonsmooth Dynamics
ISBN: 9783030359867
Издательство: Springer
Классификация:


ISBN-10: 3030359867
Обложка/Формат: Paperback
Страницы: 104
Вес: 0.17 кг.
Дата издания: 19.04.2020
Серия: Frontiers in applied dynamical systems: reviews and tutorials
Язык: English
Издание: 1st ed. 2020
Иллюстрации: 27 tables, color; 15 illustrations, color; 13 illustrations, black and white; viii, 104 p. 28 illus., 15 illus. in color.
Размер: 23.39 x 15.60 x 0.61 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a non-smooth definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are.

What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them.

The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understanding that all researchers should be bearing in mind.

Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.




Nonsmooth mechanics

Автор: Brogliato, Bernard
Название: Nonsmooth mechanics
ISBN: 1447111613 ISBN-13(EAN): 9781447111610
Издательство: Springer
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Цена: 28734.00 р.
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Описание: 1) f(x, t) 2: 0 where x E JRn is the system`s state vector, u E JRm is the vector of inputs, and the function f (-, . 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in put (or controller) that generally involves a state feedback loop, i.

Nonsmooth Dynamics of Contacting Thermoelastic Bodies

Автор: Jan Awrejcewicz; Yuriy Pyr`yev
Название: Nonsmooth Dynamics of Contacting Thermoelastic Bodies
ISBN: 1441918809 ISBN-13(EAN): 9781441918802
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This intensive study in contact mechanics explores the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous applications, and special attention is paid to the importance of the inertia factor.

Nonsmooth Mechanics

Автор: Bernard Brogliato
Название: Nonsmooth Mechanics
ISBN: 3319286625 ISBN-13(EAN): 9783319286624
Издательство: Springer
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Цена: 25155.00 р.
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Описание:

1. Impulsive Dynamics and Measure Differential Equations.- 2. Visco-Elastic Contact/Impact Rheological Models.- 3. Variational Principles.- 4. Two Rigid Bodies Colliding.- 5. Nonsmooth Lagrangian Systems.- 6. Generalized Impact Laws and Multiple Impacts.- 7. Stability of Nonsmooth Dynamical Systems.- 8. Trajectory Tracking Feedback Control.- Appendix A.- Appendix B.- Index.

A Variational Approach to Nonsmooth Dynamics

Автор: Samir Adly
Название: A Variational Approach to Nonsmooth Dynamics
ISBN: 3319686577 ISBN-13(EAN): 9783319686578
Издательство: Springer
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Цена: 7685.00 р.
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Описание:

This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process.

The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis.

With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 1441948058 ISBN-13(EAN): 9781441948052
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.

Modeling Love Dynamics

Автор: Rinaldi Sergio, Rossa Fabio Della, Dercole Fabio
Название: Modeling Love Dynamics
ISBN: 9814696315 ISBN-13(EAN): 9789814696319
Издательство: World Scientific Publishing
Цена: 15048.00 р.
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Описание: This book shows, for the very first time, how love stories - a vital issue in our lives - can be tentatively described with classical mathematics.

Adaptive Control of Nonsmooth Dynamic Systems

Автор: Gang Tao; Frank L. Lewis
Название: Adaptive Control of Nonsmooth Dynamic Systems
ISBN: 1849968691 ISBN-13(EAN): 9781849968690
Издательство: Springer
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Цена: 26120.00 р.
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Описание: Many of the non-smooth, non-linear phenomena covered in this well-balanced book are of vital importance in almost any field of engineering. Contributors from all over the world ensure that no one area`s slant on the subjects predominates.

Extended Abstracts Spring 2016

Автор: Alessandro Colombo; Mike Jeffrey; J. Tom?s L?zaro;
Название: Extended Abstracts Spring 2016
ISBN: 331955641X ISBN-13(EAN): 9783319556413
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Foreword.- On Degenerate Cycles in Planar Filippov Systems.- Sliding Dynamics on Codimension-2Discontinuity Surfaces.- Asynchronous Networks.- Regularization by External Variables.- Characterizing Tipping in a Stochastic Reduced Stommel-Type Model in Higher-Dimensions.- Global Bifurcations in a Class of Discontinuous Piecewise Linear Systems.- Single-Impact Orbits near Grazing Periodic Orbits for an Impact Oscillator.- A Choice between Smooth and Nonsmooth Models.- Sliding Mode Control of Heterogeneous Systems.- Limit Cycle Bifurcation from a Persistent Center at Innity in 3D Piecewise Linear Systems with Two Zones.- Alternating Smooth and Nonsmooth Bifurcations in a Discontinuous Linear-Power Map.- Extending Slow Manifolds Near a Degenerate Transcritical Intersection in Three Dimensions.- Less is More I: a Pessimistic View of Piecewise Smooth Bifurcation Theory.- Less is More II: An Optimistic view of Piecewise Smooth Bifurcation Theory.- On Semi-Local Structural Stability of FilippovSystems.- Nonlinear Estimation of Synaptic Conductances Via Piecewise Linear Systems.- Integral Curves of a Vector Field with a Fractal Discontinuity.- Why Nonsmooth?.- An Update on That Singularity.- Sensor Effects in Sliding Mode Control of Power Conversion Cells.- Variational Time Stepping for NonsmoothAnalytical System Dynamics.- The chaotic behavior of piecewise smooth dynamical systems on torus and sphere.- Non-Smooth Hopf-Type and Grazing Bifurcations Arising from Impact/Friction Contact Events.- Number of Limit Cycles for some Non-Generic Classes of Piecewise Linear Differential Systems.- An Equivalent Formulation of the Averaged Functions Via Bell Polynomials.- Smoothing a Piecewise-Smooth: An Example from Plankton Population Dynamics.- A Note on Frictional Slip Patterns.- Climate in Barcelona is Wonderful.- Open Problems on Border-Collision Bifurcations.- Nonsmooth Maps and the Fast-Slow Dynamics of Sleep-Wake Regulation: Part I.- Nonsmooth Maps and the Fast-Slow Dynamics of Sleep-Wake Regulation: Part II.- Comments for the Continuation Method by A.F. Filippov for Discontinuous Systems, Part I.- Comments for the Continuation Method by A.F. Filippov for Discontinuous Systems, Part II.- Challenges from System Dynamics to Complexity and Piecewise-Deterministic Markov Processes: Market Modeling.

Nonsmooth Modeling and Simulation for Switched Circuits

Автор: Vincent Acary; Olivier Bonnefon; Bernard Brogliato
Название: Nonsmooth Modeling and Simulation for Switched Circuits
ISBN: 9400733852 ISBN-13(EAN): 9789400733855
Издательство: Springer
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Цена: 20896.00 р.
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Описание: Complete with examples and simulation results, this volume explores the nonsmooth dynamical systems (NSDS) modeling approach, using piecewise-linear and multivalued models of electronic devices. Readers will find a comparison of SPICE and hybrid methods, which demonstrates the power of the NSDS approach.

Nonsmooth/Nonconvex Mechanics

Автор: David Yang Gao; Raymond W. Ogden; Georgios E. Stav
Название: Nonsmooth/Nonconvex Mechanics
ISBN: 1461379733 ISBN-13(EAN): 9781461379737
Издательство: Springer
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Цена: 16769.00 р.
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Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions

Автор: Yury Orlov
Название: Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions
ISBN: 3030376249 ISBN-13(EAN): 9783030376246
Издательство: Springer
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Цена: 20962.00 р.
Наличие на складе: Нет в наличии.

Описание: Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional differential equations.

Optimal Control of Nonsmooth Distributed Parameter Systems

Автор: Dan Tiba
Название: Optimal Control of Nonsmooth Distributed Parameter Systems
ISBN: 3540535241 ISBN-13(EAN): 9783540535249
Издательство: Springer
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Цена: 3487.00 р.
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Описание: The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control.


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