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Author: Dimitŭr Baĭnov
Publisher:
ISBN: 9780745804576
Category : Differentiable dynamical systems
Languages : en
Pages : 255
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Book Description
Author: Dimitŭr Baĭnov
Publisher:
ISBN: 9780745804576
Category : Differentiable dynamical systems
Languages : en
Pages : 255
Get Book Here
Book Description
Author: Dimitŭr Baĭnov
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 268
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Book Description
Author: Drumi Bainov
Publisher: Routledge
ISBN: 135143909X
Category : Mathematics
Languages : en
Pages : 246
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Book Description
Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.
Author: Tao Yang
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 302
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Book Description
An impulsive control system contains a plant (usually a continuous-time dynamical system) and a control law. In the past ten years, many developments have occurred regarding control systems with impulsive effects or control systems via impulsive control laws. Impulsive effects can take place in plant dynamics or be introduced through control laws. This book studies the two main types of control systems. First are the controlling impulsive systems, in which the plant itself is formed by impulsive differential equations, so the control law will be either continuous or impulsive. In engineering, the impulsive control serves as a crucial method for making nanodevices. The second control systems are impulsively controlled dynamical systems, where the plant has no impulsive effects, though the control laws introduce impulsive effects to the plant's state variables. The engineering application here is within non-linear communications. This book offers mathematicians real applications of equations, engineers a toolbox and math theory for control problems, and physicists a new framework of modelling impulsive effects.
Author: Nikolai A. Perestyuk
Publisher: Walter de Gruyter
ISBN: 3110218178
Category : Mathematics
Languages : en
Pages : 325
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Book Description
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
Author: V. Lakshmikantham
Publisher: World Scientific
ISBN: 9789971509705
Category : Mathematics
Languages : en
Pages : 296
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Book Description
Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.
Author: N Perestyuk
Publisher: World Scientific
ISBN: 981449982X
Category : Science
Languages : en
Pages : 474
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Book Description
Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts
Author: Dimit?r Ba?nov
Publisher: World Scientific
ISBN: 9789810214340
Category : Mathematics
Languages : en
Pages : 292
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Book Description
This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.
Author: Ivanka Stamova
Publisher: CRC Press
ISBN: 1498764843
Category : Mathematics
Languages : en
Pages : 277
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Book Description
The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.
Author: Oyelami Benjamin Oyediran
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659207242
Category :
Languages : en
Pages : 252
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Book Description
A system is a collection of components that are connected in such a way as to function as a whole .An impulsive system, on the other hand, is a general word, we use to describe systems that are subject to jumps, shocks in the state variables describing them. The shock or jumps take place very fast within short period of time when compare to evolution time of the whole system.In this monograph, we study a variety of dynamical systems of impulsive family with applications in form of models to illustrate and justify the importance of such systems to real life. We concentrate on some selected methods and models in impulsive systems. The methods/topics considered are: Strange behaviors of impulsive systems. Fixed and variable times impulsive systems. Beating effect' or pulse phenomenon' and applications to interconnecting systems and impulsive human response systems. Stability concepts in quantitative and qualitative ways and applications to autonomous and non-autonomous systems, linear and nonlinear systems.Measure differential equations, stability with respect to invariant sets and applications.Lyapunov Stability on manifolds.The methods are applied to some Models.
