Optimal Trajectory Tracking of Nonlinear Dynamical Systems, Lцber Jakob
Автор: Jakob L?ber Название: Optimal Trajectory Tracking of Nonlinear Dynamical Systems ISBN: 3319465732 ISBN-13(EAN): 9783319465739 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry.
Описание: The comprehensive and systematic treatment of practical issues in spacecraft trajectory optimization is one of the book`s major features, making it particularly suited for readers who are seeking practical solutions in spacecraft trajectory optimization.
Описание: The comprehensive and systematic treatment of practical issues in spacecraft trajectory optimization is one of the book`s major features, making it particularly suited for readers who are seeking practical solutions in spacecraft trajectory optimization.
Автор: David W. Hollar Название: Trajectory Analysis in Health Care ISBN: 331959625X ISBN-13(EAN): 9783319596259 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This innovative volume introduces Trajectory Analysis, a new systems-based approach to measuring nonlinear dynamics in continuous change, to public health and epidemiology. It synthesizes influential strands of statistical and probability science (including chaos theory and catastrophe theory) to complement existing methods and models used in the health fields. The computational framework featured here pinpoints complex cause-and-effect processes in behavioral change as individuals and populations adjust to health interventions, with examples from neuroscience and cardiology. But this is no mere academic exercise, as the author illustrates how these methods can be harnessed toward finding real-world answers to longstanding public health problems, starting with treatment recidivism.
Included in the coverage:
- The universality of physical principles in the analysis of health and disease.
- The problem of recidivism in health care intervention studies.
- Stability and reversibility/irreversibility of health conditions.
- Chaos theory and sensitive dependence on initial conditions.
- Applications in health monitoring and geographic systems.
- Simulations, applications, and the challenge for public health.
A stimulating new take on statistics with powerful implications for future study, practice, and policy, Trajectory Analysis in Health Care should interest public health epidemiologists, researchers, clinicians, and policymakers.
Описание: Presents a grounding in modern nonlinear integrable dynamics theory and applications in mathematical physics, and an introduction to the developments in the field. This book begins with an introduction modern integrable dynamical systems theory, treating such topics as Liouville-Arnold and Mischenko-Fomenko integrability.
Автор: Vasile Marinca; Nicolae Herisanu Название: Nonlinear Dynamical Systems in Engineering ISBN: 364243410X ISBN-13(EAN): 9783642434105 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents and extends methods for solving different types of strong nonlinearities encountered in engineering systems. Each chapter introduces a distinct approximate method, accompanied by representative examples from various fields of engineering.
Автор: Dimitri Volchenkov; Xavier Leoncini Название: Regularity and Stochasticity of Nonlinear Dynamical Systems ISBN: 3319580612 ISBN-13(EAN): 9783319580616 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems.
Автор: Dimitri Volchenkov; Xavier Leoncini Название: Regularity and Stochasticity of Nonlinear Dynamical Systems ISBN: 3319863134 ISBN-13(EAN): 9783319863139 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty.
Автор: Jan A. Sanders; Ferdinand Verhulst; James Murdock Название: Averaging Methods in Nonlinear Dynamical Systems ISBN: 1441923764 ISBN-13(EAN): 9781441923769 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a revision of the first edition of the averaging book. Updated chapters represent new insights in averaging and offer an effective entrance into this topic.
Автор: Henk Nijmeijer; Arjan van der Schaft Название: Nonlinear Dynamical Control Systems ISBN: 1441930914 ISBN-13(EAN): 9781441930910 Издательство: Springer Рейтинг: Цена: 13059.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.
Описание: This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields.
Автор: Wiggins, Stephen Название: Introduction to applied nonlinear dynamical systems and chaos ISBN: 1441918078 ISBN-13(EAN): 9781441918079 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior.
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