Author: Leslaw Socha
Publisher: Springer Science & Business Media
ISBN: 3540729968
Category : Technology & Engineering
Languages : en
Pages : 392
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Book Description
For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.
Author: Mark Elin
Publisher: Springer Science & Business Media
ISBN: 3034605099
Category : Mathematics
Languages : en
Pages : 271
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Book Description
Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.
Author: Jairo Nunes
Publisher: MIT Press
ISBN: 9780262263955
Category : Language Arts & Disciplines
Languages : en
Pages : 220
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Book Description
This highly original monograph treats movement operations within the Minimalist Program. Jairo Nunes argues that traces are not grammatical primitives and that their properties follow from deeper features of the system, and, in particular, that the phonetic realization of traces is determined by linearization computations coupled with economy conditions regarding deletion. He proposes a version of the copy theory of movement according to which movement must be construed as a description of the interaction of the independent operations Copy, Merge, Form Chain, and Chain Reduction. Empirical evidence to support this claim includes instances of "sideward movement" between subtrees in a derivation. According to this analysis, the linearization of chains in the phonological component constrains sideward movement so that it is possible to account for standard properties of multiple gap constructions, including parasitic gap and ATB constructions, without construction-specific operations or principles that are not independently motivated. Theoretical linguists will find Linearization of Chains and Sideward Movement of great interest both theoretically and empirically. The version of the copy theory of movement proposed by Nunes will stir debate and shape future research in the field.
Author: Hanif D. Sherali
Publisher: Springer Science & Business Media
ISBN: 1475743882
Category : Mathematics
Languages : en
Pages : 529
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Book Description
This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear/convex programming representations or relaxations in solving such discrete and continuous nonconvex programming problems. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through automatic reformulation and constraint generation techniques. As mentioned above, the focal point of this book is the development and application of RL T for use as an automatic reformulation procedure, and also, to generate strong valid inequalities. The RLT operates in two phases. In the Reformulation Phase, certain types of additional implied polynomial constraints, that include the aforementioned constraints in the case of binary variables, are appended to the problem. The resulting problem is subsequently linearized, except that certain convex constraints are sometimes retained in XV particular special cases, in the Linearization/Convexijication Phase. This is done via the definition of suitable new variables to replace each distinct variable-product term. The higher dimensional representation yields a linear (or convex) programming relaxation.
Author: John Brian Roberts
Publisher: Courier Corporation
ISBN: 9780486432403
Category : Technology & Engineering
Languages : en
Pages : 486
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Book Description
This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.
Author: J.L. Dawson
Publisher: Springer Science & Business Media
ISBN: 1402080611
Category : Technology & Engineering
Languages : en
Pages : 144
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Book Description
Improving the performance of the power amplifier is the most pressing problem facing designers of modern radio-frequency (RF) transceivers. Linearity and power efficiency of the transmit path are of utmost importance, and the power amplifier has proven to be the bottleneck for both. High linearity enables transmission at the highest data rates for a given channel bandwidth, and power efficiency prolongs battery lifetime in portable units and reduces heat dissipation in high-power transmitters. Cartesian feedback is a power amplifier linearization technique that acts to soften the tradeoff between power efficiency and linearity in power amplifiers. Despite its compelling, fundamental advantages, the technique has not enjoyed widespread acceptance because of certain implementation difficulties. Feedback Linearization of RF Power Amplifiers introduces new techniques for overcoming the challenges faced by the designer of a Cartesian feedback system. The theory of the new techniques are described and analyzed in detail. The book culminates with the results of the first known fully integrated Cartesian feedback power amplifier system, whose design was enabled by the techniques described. Feedback Linearization of RF Power Amplifiers is a valuable reference work for engineers in the telecommunications industry, industry researchers, academic researchers.
Author: Hong-Gi Lee
Publisher: Springer Nature
ISBN: 9811936439
Category : Technology & Engineering
Languages : en
Pages : 591
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Book Description
This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. In this book, the basics of differential geometry needed in linearization are explained on the Euclidean space instead of the manifold for students who are not accustomed to differential geometry. Many Lie algebra formulas, used often in linearization, are also provided with proof. The conditions in the linearization problems are complicated to check because the Lie bracket calculation of vector fields by hand needs much concentration and time. This book provides MATLAB programs for most of the theorems. The book also includes end-of-chapter problems and other pedagogical aids to help understanding and self study.
Author: Krzysztof Kowalski
Publisher: World Scientific
ISBN: 9814506346
Category : Mathematics
Languages : en
Pages : 192
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Book Description
The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems. Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications. It also includes a review of existing alternative methods for linearization of nonlinear dynamical systems. There are probably no books covering such a wide spectrum of linearization algorithms. This book also gives a comprehensive introduction to the Kronecker product of matrices, whereas most books deal with it only superficially. The Kronecker product of matrices plays an important role in mathematics and in applications found in theoretical physics.
Author: Hiroki Narita
Publisher: John Benjamins Publishing Company
ISBN: 9027269629
Category : Language Arts & Disciplines
Languages : en
Pages : 282
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Book Description
Endocentric Structuring of Projection-free Syntax puts forward a novel theory of syntax that rigidly adheres to the principle of Minimal Computation, in which a number of traditional but extraneous stipulations such as referential indices and representational labels/projections are eliminated. It specifically articulates the overarching hypothesis that every syntactic object is composed by recursive, phase-by-phase embedding of the endocentric structure {H, α}, where H is a head lexical item and α is another syntactic object (order irrelevant). The proposed mechanism achieves both theory-internal simplicity and broad empirical coverage at the same time, advancing a radically reduced conception of endocentricty/headedness while deriving a number of empirically grounded constraints on human language.
Author: Luis Rodrigues
Publisher: SIAM
ISBN: 1611975905
Category : Mathematics
Languages : en
Pages : 243
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Book Description
Engineering systems operate through actuators, most of which will exhibit phenomena such as saturation or zones of no operation, commonly known as dead zones. These are examples of piecewise-affine characteristics, and they can have a considerable impact on the stability and performance of engineering systems. This book targets controller design for piecewise affine systems, fulfilling both stability and performance requirements. The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that is capable of handling sliding modes, sampled-data, and networked systems. They introduce algorithms that will be applicable to nonlinear systems approximated by piecewise affine systems, and they feature several examples from areas such as switching electronic circuits, autonomous vehicles, neural networks, and aerospace applications. Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems is intended for graduate students, advanced senior undergraduate students, and researchers in academia and industry. It is also appropriate for engineers working on applications where switched linear and affine models are important.
