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Aims to develop from first principles Dancer's global bifurcation theory for one-parameter families of real-analytic operators in Banach spaces. This book shows that there are globally defined continuous and locally real-analytic curves of solutions.

(Hardback)

Many industries use control systems to insure that parameters such as temperature or altitude behave in a desirable way over time. This book offers an alternative failure detection approach that addresses two of the fundamental problems in the safe and efficient operation of modern control systems: failure detection and model identification.

(Paperback)

The classical Melnikov method provides information on the behavior of deterministic planar systems that may exhibit transitions, that is it escapes from and captures into preferred regions of phase space. This book develops a unified treatment of deterministic and stochastic systems.

(Hardback)

Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from various methods and applications to show how they arise naturally in the theory of linear control systems.

(Hardback)

(Hardback)

Genomic signal processing (GSP) requires the development of both nonlinear dynamical models that represent genomic regulation, and diagnostic and therapeutic tools based on these models. This book facilitates these developments by providing mathematical definitions and propositions for the main elements of GSP.

(Hardback)

Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, this book presents a powerful formalism and set of tools for networked systems. It covers topics such as formation control, coverage, distributed estimation, social networks, and games over networks.

(Hardback)

Develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. This book is written from a system-theoretic point of view and is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists.

(Hardback)

This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resoluti

(Hardback)

Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results. This book provides a comprehensive account of this area of mathematics and applications and gives complete proofs of solved problems.

(Hardback)

Provides a self-contained introduction to max-plus algebra. This book explores the introduction of max-plus algebra and of system descriptions based upon it. It deals with a real application, namely the design of timetables for railway networks. It also examines various extensions, such as stochastic systems and min-max-plus systems.

(Hardback)

Provides a variety of state-space-based numerical algorithms for the synthesis of feedback algorithms for linear systems with input saturation. This title addresses and solves the anti-windup problem, presenting the objectives and terminology of the problem and the mathematical tools behind anti-windup algorithms.

(Hardback)

Presents an introduction to optimization through the use of illustrations and applications. This book focuses on analytically solving optimization problems with a finite number of continuous variables. It also provides introductions to classical and modern numerical methods of optimization and to dynamic optimization.

(Paperback)

(Hardback)

(Paperback)

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical enginee

(Hardback)

Features simple treatment of uncertain linear programming. This book also presents an analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach.

(Paperback)

Presents a framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. This book deals with linear optimization, nonlinear complementarity problems, semidefinite optimization, and second-order conic optimization problems.

(Hardback)

The modeling of stochastic dependence is fundamental for understanding random systems evolving in time. With an historical overview, this book describes the state of knowledge about selfsimilar processes and their applications. It emphasizes concepts, definitions and basic properties, giving the reader a road map of the realm of selfsimilarity.

(Hardback)

Develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents a treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures.

(Hardback)

Presents the findings on one of the most intensely investigated subjects in computational mathematics - the travelling salesman problem. This book describes the method and computer code used to solve a range of large-scale problems, and demonstrates the interplay of applied mathematics with increasingly powerful computing platforms.

(Hardback)

Places thermodynamics on a system-theoretic foundation so as to harmonize it with classical mechanics. This book suggests that many physicists and engineers who have developed the theory of thermodynamics seem to have forgotten that mathematics, when used rigorously, is the irrefutable pathway to truth.

(Paperback)

Presents a study of the theory of totally nonnegative matrices, defined by the nonnegativity of subdeterminants. This title explores methodological background, historical highlights of key ideas, and specialized topics.

(Hardback)

Presents a study of the theory of totally nonnegative matrices, defined by the nonnegativity of subdeterminants. This title explores methodological background, historical highlights of key ideas, and specialized topics.