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Method of Invariant Grids
The method of invariant grids is developed for a grid-based computation of invariant manifolds.
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Control of Communication Networks Using Infinitesimal Perturbation Analysis of Stochastic Fluid Models
Managing and operating large scale communication networks is a challenging task and it is only expected to get worse as networks grow larger. The...
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Robust Controller Design for AQM and $\mathcal{H}^{\infty}$ -Performance Analysis
Active Queue Management (AQM) has recently been proposed in [1] to support the end-to-end congestion control for TCP traffic regulation on the...
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An Introduction to Nonlinear Fault Diagnosis with an Application to a Congested Internet Router
We aim at extending a recent linear theory on fault diagnosis [8, 9] to nonlinear systems by utilising, like Staroswiecki et al. [39], and Diop et...
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Mathematical Notation and Some Terminology
– The operator L from space W to space E: L : W → E
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Invariance Equation in Differential Form
Definition of invariance in terms of motions and trajectories assumes, at least, existence and uniqueness theorems for solutions of the original...
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Position and Force Tracking in Bilateral Teleoperation
A teleoperator is a dual robot system in which a remote slave robot tracks the motion of a master robot, which is, in turn, commanded by a human...
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Entropy, Quasiequilibrium, and Projectors Field
Projection operators Py contribute both to the invariance equation (3.2), and to the film extension of the dynamics (4.5). Limiting results, exact...
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1 Introduction
The class of block-oriented nonlinear models includes complex models which are composed of linear dynamic systems and nonlinear static elements....
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On the Optimization of Load Balancing in Distributed Networks in the Presence of Delay
Distributing the total computational load across available processors is referred to as load balancing in the literature. A typical distributed...
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State-Space Models for Control and Identification
In the last two decades, design and performance evaluation of efficient congestion control methods for packet-switching computer communication...
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Results for Sr2RuO4
In this chapter, we focus on our results for the elementary excitations and Cooper pairing in strontium ruthenate (...
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10. Main sychronization
It was made clear in Chapter 9 that the second order type-II loop operates either in saturated or in unsaturated mode. In this chapter, only the main...
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4. Main synchronization
In this chapter the main synchronization of the first order PLL is discussed. At first, we perform the local stability analysis of the main...
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8. Main synchronization
In the present chapter the main synchronization of the second order type-I loop is treated. At first, the local stability analysis is presented and...
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Nonlinear superposition formulae of integrable partial differential equations by the singular manifold method
We study by the singular manifold method a few 1+1-dimensional partial differential equations which possess N-soliton solutions for arbitrary N, i.e....
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11. Third harmonic synchronization
In this chapter, a brief analysis of the synchronization at the third harmonic of the center VCO frequency is given. The relatively large width of...
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6. Introduction to second order type – I PLL
From the analysis of the first order loop, presented in Part I, it becomes evident that the presence of the ripple in the output of the phase...
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12. Introduction to third order type – II PLL
According to the analysis presented in Part IV, the presence of ripple makes the performance of the second order type-II loop problematic. Therefore,...