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Stability of Nonlinear Hybrid Systems
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a...
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Gyroscopic Forces and Collision Avoidance with Convex Obstacles
This paper introduces gyroscopic forces as an tool that can be used in addition to the use of potential forces in the study of collision and convex...
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Minimax Nonlinear Control under Stochastic Uncertainty Constraints
We consider in this paper a class of stochastic nonlinear systems in strict feedback form, where in addition to the standard Wiener process there is...
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Terahertz Radiation from Semiconductors
We provide a review of the different schemes for generating terahertz (THz) radiation using photoconductive emitters excited by femtosecond...
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The Uncertain Generalized Moment Problem with Complexity Constraint
This paper is dedicated to Arthur Krener – a great researcher, a great teacher and a great friend – on the occasion of his 60th birthday. In this...
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Symmetries and Minimal Flat Outputs of Nonlinear Control Systems
Consider a nonlinear control system of the form $\Pi : \dot{x}=F(x,u)$ ,...
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On Absolute Stability of Convergence for Nonlinear Neural Network Models
This paper deals with a class of large-scale nonlinear dynamical systems, namely the additive neural networks. It is well known that convergence of...
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A Novel Design Approach to Flatness-Based Feedback Boundary Control of Nonlinear Reaction-Diffusion Systems with Distributed Parameters
Differential flatness has proven to be a very powerful approach for analysis and design of open-loop and stabilizing feedback tracking control for...
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Rhombohedral PZT Thin Films Prepared by Sputtering
PZT thin films with a rhombohedral perovskite structure were successfully grown on (111) PLT/Pt/Ti/SiO2/Si and (111) Ir/SiO2/Si substrates. The...
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Correlation Between Domain Structures and Dielectric Properties in Single Crystals of Ferroelectric Solid Solutions
In the present chapter, the growth of single crystals in relaxor–PbTiO3 (PT) solid solution system by the flux method and the solution Bridgman...
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6 Mathematical Preliminaries
Part II provides mathematical formulations of the models, the assumptions that underlie them, their weak or variational formulations and the...
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11 Contact with Wear or Adhesion
In this chapter we present results on models of frictional contact when the wear of the contacting surfaces is taken into account. The importance of...
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3 Additional E.ects Involved in Contact
More is involved in contact than just friction, although it is the main process. Indeed, during a contact process elastic or plastic deformations of...
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13 Dynamic, One-Dimensional and Miscellaneous Problems
The previous part of this monograph makes it clear that the branch of the Mathematical Theory of Contact Mechanics, which deals with quasistatic...
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Introduction
The scattering of x-rays is a very powerful tool to investigate the structure and dynamics of condensed matter. The research in this field can be...
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Anisotropic Substrates
A prerequisite for infrared ellipsometry investigations of semiconductor layer structures is an accurate knowledge of the substrate materials’...
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Simulating a Motorcycle Driver
Controlling a riderless bicycle or motorcycle is a challenging problem because the dynamics are nonlinear and non-minimum phase. Further difficulties...
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On the Steady-State Behavior of Forced Nonlinear Systems
The purpose of this paper is to discuss certain aspects of the asymptotic behavior of finite-dimensional nonlinear dynamical systems modeled by...
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6 Stepwise Inflation of a Balloon
When we inflate a balloon in the usual manner, namely by blowing air into it by mouth, we first inhale deeply by expanding our lungs. After that we...
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9 Stability of the Spherical Shape
Ever so often we observe that a balloon, which is spherical in the undistorted state, becomes elongated upon inflation so that we obtain a...