Not only does this book describe the goals and architecture of the .NET Framework, but it also demonstrates how it implements facilities and services to meet these goals. This book shows developers how to produce generic frameworks, libraries, classes, and tools to be used in the .NET Framework.

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/

Modern control systems in manufacturing are characterized by rising complexity in size and functionality. They are highly decentralized and constitute a network of physically and functionally distributed controllers collaborating to perform the control tasks. That goes along with a further growing demand on safety and reliability. A distributed control architecture supporting functional decomposition of large systems as well as accommodating flexibility of modular systems is defined. This work describes the formal synthesis of distributed control functions for the sub area of safety requirements. The formal synthesis is applied to avoid the potentially faulty influence of human work through the whole process from the formal specification to the executable control function. Starting points are a formal model of the uncontrolled plant behavior and a formal specification of forbidden behavior. The formulation of the specification and the modeling is exemplified on a manufacturing system in lab-scale. The introduced synthesis methods produce controller models describing the correct control actions to achieve the given specification. The methods use symbolic backward search from a forbidden state to determine the last admissible state before entering an uncontrollable trajectory to a forbidden state. Hence, the determination of the reachable state space is avoided to reduce the computational complexity. The use of partial markings leads to a further reduction. The complexity is an important obstacle for the use of formal methods on real-scale applications. The monolithic synthesis approach is proven to result in maximally permissive results. The modular approach is not maximally permissive but the more efficient way to distributed control functions. The implementation of the generated controller model as executable Function Blocks according to IEC61499 is addressed in the last part of this work. The distributed control predicates are embedded as structured text instruction into different interacting Function Block types according to the distributed control structure. This last step finalizes the sequence from a formal model and the specification to fully automatically-generated executable control code.

2022-23 RSSB Study Material & Question Bank

Business processes are among today's hottest topics in the science and practice of information systems. Business processes and workflow management systems attract a lot of attention from R&D professionals in software engineering, information systems, business-oriented computer science, and management sciences. The carefully reviewed chapters contributed to this state-of-the-art survey by internationally leading scientists consolidate work presented at various workshops on the topic organized by the editors of the book in the past few years. The book spans the whole spectrum of business process management ranging from theoretical aspects, conceptual models, and application scenarios to implementation issues. It will become a valuable source of reference and information for R&D professionals active in the fascinating interdisciplinary area of business process management and for ambitious practitioners.

There exist certain key issues to modern industrial automation as modularity, reusability, portability, flexibility, extendibility and reconfigurability to create optimally coordinated automation solution for manufacturing plants. This will feature the operating companies to react fast and flexible to changed customer demands. An appropriate way to realize these issues is an object-oriented control implementation, which has been quite common since the late 90s. This work is focused on the upcoming standard IEC 61499, which defines an object-oriented and event-driven software model, which can be realised by any hardware the engineer prefers. Furthermore, the control implementation is application-oriented and all parts are mapped to available control devices later on. Thus, it is possible to replace one device by another by easily remapping the application. But, does this possibility need certain care during the development of the control application and how could a control engineer be supported to prove the correctness of the plant behaviour in any case? To answer this question the formal model discrete timed Net Condition/Event Systems is used in this work to model in a modular manner the control system and the plant. Both models are connected in closed loop to perform a reachability analysis. It is shown, how a control engineer can examine in a graphical manner the system behaviour for all possible cases by selecting interesting trajectories and drawing them as Gantt-Charts. Since the model of the plant incorporates all sensors and actuators, the state of the corresponding places can be included into the Gantt-Chart.Even if the control engineer has no deep knowledge about the used formal model, this systematic and tool supported way ensures the possibility to analyse the system behaviour in any case, if he changes the control application or remaps it. This will reduce downtimes during production changes and new plant can be brought faster into service.