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Topological Obstructions to Stability and Stabilization History, Recent Advances and Open Problems
This open access book provides a unified overview of topological obstructions to the stability and stabilization of dynamical systems defined on...
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Topological Obstructions
Given the previous chapters on topology and dynamical system theory, we can now provide a consistent treatment of topological obstructions to...
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Introduction
This first chapter puts forward the potential and arguably necessity of employing topological methods when studying nonlinear dynamical control...
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Delay-Aware Virtual Network Function Placement and Routing in Edge Clouds
As noted before, resource allocation problem in NFV can be fomulated as an Integer Nonlinear Programming (INLP). And the most frequent approaches to...
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Resource Allocation in Network Function Virtualization Problems, Models and Algorithms
Network Function Virtualization (NFV) has recently attracted considerable attention from both research and industrial communities. Numerous papers...
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Towards Accepting and Overcoming Topological Obstructions
This chapter briefly highlights how one might address the aforementioned topological obstructions. We discuss almost global stabilization, periodic...
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Dynamical Control Systems
In this chapter we define dynamical control systems over spaces previously discussed and we formalize concepts as touched upon in Chap....
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Algebraic Topology
In this chapter we briefly introduce important concepts from homology theory and we highlight how some results from Chap. 3 can be understood through...
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Introduction
With the continuous emergence of new service patterns (e.g., Cloud Computing or Virtual Reality) and stringent demanding Quality of Service (QoS) to...
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A-DDPG: Attention Mechanism-Based Deep Reinforcement Learning for NFV
Chapters 3–5 transform the VNF placement and traffic routing proble into some well-known NP-hard problems, and then a heuristic or approximation...
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Traffic Routing in Stochastic Network Function Virtualization Networks
While virtual network function scheduling in the previous chapter assume deterministic link delay and bandwidth, the real-life network usually...
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Resource Allocation Problems Formulation and Analysis
In this chapter, we focus on resource allocation problems formulation and analysis, including the basic problem definition and analysis, QoS models...
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Differential Topology
In this chapter we discuss differentiable structures on topological manifolds. In particular, we discuss transversality, tubular neighbourhoods,...
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Generalizations and Open Problems
This chapter concludes the monograph and provides a brief overview of generalizations, ongoing work and open problems. In particular, by means of...
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General Topology
This chapter presents the main general topological tools, as used in later parts. In particular we highlight topological manifolds, homotopies and...
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Delay-Sensitive and Availability-Aware Virtual Network Function Scheduling for NFV
As noted before, the VNF placement and routing problem can be addressed with the goal of minimizing the maximum link load ratio and each user’s...
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Summarization and Future Work
NFV enables to replace dedicated hardware implementations with software instances and it provides more possibilities for large cost savings, high...
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Application of Intelligent Control Algorithms to Study the Dynamics of Hybrid Power System
This book aims to systematically review and design different intelligent control algorithms for the small-signal stability assessment of HPS. With...
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Principles of Innovative Design Thinking Synergy of Extenics with Axiomatic Design Theory
The book presents a comprehensive treatment on a novel design theory that fosters innovative thinking and creativity essential for addressing wicked...
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Lossless Data Compression Method Using Deep Learning
A method of lossless data compression on various data formats using predefined algorithms and machine learning is claimed in this chapter. The...