Eugenius Kaszkurewicz's Books

Business Dynamics Models

Optimization-Based One Step Ahead Optimal Control

By: Eugenius Kaszkurewicz ,Amit Bhaya

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Business Dynamics Models

Optimization-Based One Step Ahead Optimal Control

By: Eugenius Kaszkurewicz ,Amit Bhaya

This book introduces optimal control methods, formulated as optimization problems, applied to business dynamics problems. Business dynamics refers to a combination of business management and financial objectives embedded in a dynamical system model. The model is subject to a control that optimizes a performance index and takes both management and financial aspects into account. Business Dynamics Models: Optimization-Based One Step Ahead Optimal Control includes solutions that provide a rationale for the use of optimal control and guidelines for further investigation into more complex models, as well as formulations that can also be used in a so-called flight simulator mode to investigate different complex scenarios. The text offers a modern programming environment (Jupyter notebooks in JuMP/Julia) for modeling, simulation, and optimization, and Julia code and notebooks are provided on a website for readers to experiment with their own examples. This book is intended for students majoring in applied mathematics, business, and engineering. The authors use a formulation-algorithm-example approach, rather than the classical definition-theorem-proof, making the material understandable to senior undergraduates and beginning graduates.

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Page Count

208

Publisher

SIAM

Published Date

ISBN 10

1611977312

ISBN 13

9781611977318

Control Perspectives on Numerical Algorithms and Matrix Problems

By: Amit Bhaya,Eugenius Kaszkurewicz

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Control Perspectives on Numerical Algorithms and Matrix Problems

By: Amit Bhaya,Eugenius Kaszkurewicz

Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective.

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Page Count

297

Publisher

SIAM

Published Date

ISBN 10

089871866X

ISBN 13

9780898718669

Matrix Diagonal Stability in Systems and Computation

By: Eugenius Kaszkurewicz,Amit Bhaya

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Matrix Diagonal Stability in Systems and Computation

By: Eugenius Kaszkurewicz,Amit Bhaya

This monograph presents a collection of results, observations, and examples related to dynamical systems described by linear and nonlinear ordinary differential and difference equations. In particular, dynamical systems that are susceptible to analysis by the Liapunov approach are considered. The naive observation that certain "diagonal-type" Liapunov functions are ubiquitous in the literature attracted the attention of the authors and led to some natural questions. Why does this happen so often? What are the spe cial virtues of these functions in this context? Do they occur so frequently merely because they belong to the simplest class of Liapunov functions and are thus more convenient, or are there any more specific reasons? This monograph constitutes the authors' synthesis of the work on this subject that has been jointly developed by them, among others, producing and compiling results, properties, and examples for many years, aiming to answer these questions and also to formalize some of the folklore or "cul ture" that has grown around diagonal stability and diagonal-type Liapunov functions. A natural answer to these questions would be that the use of diagonal type Liapunov functions is frequent because of their simplicity within the class of all possible Liapunov functions. This monograph shows that, although this obvious interpretation is often adequate, there are many in stances in which the Liapunov approach is best taken advantage of using diagonal-type Liapunov functions. In fact, they yield necessary and suffi cient stability conditions for some classes of nonlinear dynamical systems.

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Page Count

279

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461213460

ISBN 13

9781461213468

Matrix Diagonal Stability in Systems and Computation

By: Eugenius Kaszkurewicz,Amit Bhaya

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Matrix Diagonal Stability in Systems and Computation

By: Eugenius Kaszkurewicz,Amit Bhaya

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Page Count

279

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461213460

ISBN 13

9781461213468

Control Perspectives on Numerical Algorithms and Matrix Problems

By: Amit Bhaya,Eugenius Kaszkurewicz

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Control Perspectives on Numerical Algorithms and Matrix Problems

By: Amit Bhaya,Eugenius Kaszkurewicz

This book organizes the analysis and design of iterative numerical methods from a control perspective. A variety of applications are discussed, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems and integration and shooting methods for ordinary differential equations.

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Page Count

291

Publisher

SIAM

Published Date

ISBN 10

0898716020

ISBN 13

9780898716023

Business Dynamics Models

Optimization-Based One Step Ahead Optimal Control

By: Eugenius Kaszkurewicz ,Amit Bhaya

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Business Dynamics Models

Optimization-Based One Step Ahead Optimal Control

By: Eugenius Kaszkurewicz ,Amit Bhaya

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

208

Publisher

SIAM

Published Date

ISBN 10

1611977312

ISBN 13

9781611977318

Book's by Eugenius Kaszkurewicz

Business Dynamics Models

Business Dynamics Models

Control Perspectives on Numerical Algorithms and Matrix Problems

Control Perspectives on Numerical Algorithms and Matrix Problems

Matrix Diagonal Stability in Systems and Computation

Matrix Diagonal Stability in Systems and Computation

Matrix Diagonal Stability in Systems and Computation

Matrix Diagonal Stability in Systems and Computation

Control Perspectives on Numerical Algorithms and Matrix Problems

Control Perspectives on Numerical Algorithms and Matrix Problems

Business Dynamics Models

Business Dynamics Models

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