This second edition comprehensively presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and more.
Linear Systems Theory discusses:

Nonlinear and linear systems in the state space form and through the transfer function method

Stability, including marginal stability, asymptotical stability, global asymptotical stability, uniform stability, uniform exponential stability, and BIBO stability

Controllability

Observability

Canonical forms

System...

Experience has shown that structural solutions for water diversion, conservation, and transfer are not always the most efficient and economically sound alternatives. New, non-structural means of solving problems must be used to guarantee safe and efficient allocation of water to domestic, agricultural, and industrial customers. Focusing on conflict resolution, Water Resources Systems Analysis discusses systematic approaches for the mathematical modeling of various water resources issues, helping decision-makers allocate water effectively and efficiently. Readers will gain an understanding of...

In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.

In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.

Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining solutions' of various game models. Generalizations reaching beyond the convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts...

This book gives a comprehensive survey and complete mathematical development of the theory of multi-product oligopolies. Existence and uniqueness of the Nash-Cournot equilibria as well as its stability are analysed for the multi-product Cournot model and for its variants such as labor-managed industries, saturated markets, rent-seeking oligopolies and presence of production adjustment costs. Applications are discussed for network oligopolies, taxation, water resources management, and international fishery. The controllability of multi-product Cournot markets is also briefly analysed.

This book reflects the state of the art in nonlinear economic dynamics, providing a broad overview of dynamic economic models at different levels. The wide variety of approaches ranges from theoretical and simulation analysis to methodological study. In particular, it examines the local and global asymptotical behavior of both macro- and micro- level mathematical models, theoretically as well as using simulation. It also focuses on systems with one or more time delays for which new methodology has to be developed to investigate their asymptotic properties. The book offers a comprehensive...

It is an incontestable fact that numerical analysis techniques are used rou tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the...

This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples and applications, and the case studies are selected from economics, social sciences, engineering, the military and homeland...