Stabilizing Dynamics

This work is concerned with the ways in which the talk of the 1930s evolved into technical analysis of some mathematical structures. It describes the context for the history of that change and shows how the history of modern economics can be seen as a confluence of several disparate traditions.

Stabilization and Dynamic of Premixed Swirling Flames: Prevaporized, Stratified, Partially, and Fully Premixed Regimes focuses on swirling flames in various premixed modes (stratified, partially, fully, prevaporized) for the combustor, and development and design of current and future swirl-stabilized combustion systems. This includes predicting capabilities, modeling of turbulent combustion, liquid fuel modeling, and a complete overview of stabilization of these flames in aeroengines. The book also discusses the effects of the operating envelope on upstream fresh gases and the subsequent impact of flame speed, combustion, and mixing, the theoretical framework for flame stabilization, and fully lean premixed injector design. Specific attention is paid to ground gas turbine applications, and a comprehensive review of stabilization mechanisms for premixed, partially-premixed, and stratified premixed flames. The last chapter covers the design of a fully premixed injector for future jet engine applications. Features a complete view of the challenges at the intersection of swirling flame combustors, their requirements, and the physics of fluids at work Addresses the challenges of turbulent combustion modeling with numerical simulations Includes the presentation of the very latest numerical results and analyses of flashback, lean blowout, and combustion instabilities Covers the design of a fully premixed injector for future jet engine applications

Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems. Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems. Focuses on stability and feedback stabilization Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students Balances coverage of linear and nonlinear systems Covers cascade systems Includes many examples and exercises

Self-stabilizing distributed systems tolerate any kind of transient fault. Fault-Containment reduces the time needed for the repair of small-scale transient faults. This thesis presents two new transformations for fault-containment, eliminating the disadvantages of previous solutions. For the first time, fault-containment is implemented for the case where state corruptions and topology changes occur simultaneously. The work is complemented by a distributed algorithm that reduces the additional load caused by the transformations and distributes it uniformly among the nodes.

This publication describes the indications and the various phases of technical rehabilitation to be used after surgical treatment of lumbar degenerative spine. A work of fundamental importance, it will benefit those interested in this area of orthopaedics.

This book presents several novel constructive methodologies for global stabilization and H-infinity control in switched dynamic systems by using the systems’ structure information. The main features of these new approaches are twofold: i) Novel Lyapunov functions are constructed and new switching strategies are designed to guarantee global finite-time stabilization of the closed-loop switched dynamic systems,while ii) without posing any internal stability requirements on subsystems, the standard H-infinity control problem of the switched dynamic systems is solved by means of dwell-time switching techniques. Systematically presenting constructive methods for analyzing and synthesizing switched systems, the content is of great significance to theoretical research and practical applications involving switched systems alike. The book provides a unified framework for stability analysis, stabilization and H-infinity control of switched systems, making it a valuable resource for researchers and graduate students who want to learn about the state of the art in the analysis and synthesis of switched systems, as well as recent advances in switched linear systems. In addition, it offers a wealth of cutting-edge constructive methods and algorithm designs for researchers who work with switched dynamic systems and graduate students of control theory and control engineering.

This monograph is devoted to the analysis of the dynamics of business cycles and stabilization policies. The analysis is conducted in models of the AS-AD type, focusing on involuntary unemployment and capital accumulation. Major conclusions are the following. (1) Sectoral imbalances, once emphasized by such business-cycle theorists as K. Marx, A. Spiethoff, and F.A. Hayek, are rectified in finite time by competitive investment allocation, leaving aggregate variables as the main variables of business cycle dynamics. (2) The chronology of events during a cycle is established, which resolves the so-called real wage puzzle. (3) Owing to the crowding-out effect on investment, fiscal stabilization policies can destabilize the business cycle dynamics if implemented too intensively. (4) If coordinated properly, monetary stabilization policies can remove the destabilizing tendency of fiscal stabilization policies.

This book constitutes the refereed proceedings of the 12th International Symposium on Stabilization, Safety, and Security of Distributed Systems, SSS 2010, held in New York, USA, in September 2010. The 39 revised full papers were carefully reviewed and selected from 90 submissions. The papers address all safety and security-related aspects of self-stabilizing systems in various areas. The most topics related to self-* systems. The tracks were: self-stabilization; self-organization; ad-hoc, sensor, and dynamic networks; peer to peer; fault-tolerance and dependable systems; safety and verification; swarm, amorphous, spatial, and complex systems; security; cryptography, and discrete distributed algorithms.

This book constitutes the refereed proceedings of the 14th International Symposium on Stabilization, Safety, and Security of Distributed Systems, SSS 2012, held in Toronto, Canada, in October 2012. The 21 full papers and 10 brief announcements presented in this volume were carefully reviewed and selected from 75 submissions. The conference provides a wide spectrum of topics, covered in the following tracks: self-stabilization, ad-hoc and sensor networks, fault-tolerance and dependable systems, safety and security, cloud computing, formal methods, social networks, peer-to-peer, self-organizing and autonomic systems.