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Nonlinear controllers for nonlinear systems with input nonlinearities [PDF]
Proceedings of the 36th IEEE Conference on Decision and Control, 1999 Abstract In this paper we develop an optimality-based nonlinear control framework for nonlinear systems with time-invariant sector-bounded memoryless input nonlinearities. Specifically, using an optimal nonlinear control framework we develop a family of globally stabilizing controllers parameterized by the cost functional that is minimized ...
J.L. Fausz +2 more
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Iterative solution of nonlinear equations in several variables
Computer science and applied mathematics, 2014Preface to the Classics Edition Preface Acknowledgments Glossary of Symbols Introduction Part I. Background Material. 1. Sample Problems 2. Linear Algebra 3. Analysis Part II. Nonconstructive Existence Theorems. 4.
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Nonlinear dimensionality reduction by locally linear embedding.
Science, 2000Many areas of science depend on exploratory data analysis and visualization. The need to analyze large amounts of multivariate data raises the fundamental problem of dimensionality reduction: how to discover compact representations of high-dimensional ...
S. Roweis, L. Saul
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A global geometric framework for nonlinear dimensionality reduction.
Science, 2000Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly confront the problem of dimensionality reduction: finding meaningful low-dimensional structures ...
J. Tenenbaum, V. Silva, John C. Langford
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Nonlinear equations with expansive nonlinearities
ANNALI DELL UNIVERSITA DI FERRARA, 1978We prove existence and multiplicity theorems for nonlinear equations at resonance with expansive nonlinearities.
Svatopluk Fučík, Antonio Ambrosetti
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Numerical methods for unconstrained optimization and nonlinear equations
Prentice Hall series in computational mathematics, 1983Preface 1. Introduction. Problems to be considered Characteristics of 'real-world' problems Finite-precision arithmetic and measurement of error Exercises 2. Nonlinear Problems in One Variable.
J. Dennis, Bobby Schnabel
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SSRN Electronic Journal, 1999
This paper analyzes the joint time-series properties of the level and volatility of expected excess stock returns. An unobservable dynamic factor is constructed as a nonlinear proxy for the market risk premia with its first moment and conditional volatility driven by a latent Markov variable.
Marcelle Chauvet, Simon M. Potter
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This paper analyzes the joint time-series properties of the level and volatility of expected excess stock returns. An unobservable dynamic factor is constructed as a nonlinear proxy for the market risk premia with its first moment and conditional volatility driven by a latent Markov variable.
Marcelle Chauvet, Simon M. Potter
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New extension of the Kalman filter to nonlinear systems
Defense, Security, and Sensing, 1997The Kalman Filter (KF) is one of the most widely used methods for tracking and estimation due to its simplicity, optimality, tractability and robustness. However, the application of the KF to nonlinear systems can be difficult.
S. Julier, J. Uhlmann
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Magnetism from conductors and enhanced nonlinear phenomena
, 1999We show that microstructures built from nonmagnetic conducting sheets exhibit an effective magnetic permeability /spl mu//sub eff/, which can be tuned to values not accessible in naturally occurring materials, including large imaginary components of /spl
J. Pendry +3 more
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A nonlinear resistor and nonlinear inductor using a nonlinear capacitor
Journal of the Franklin Institute, 1999Abstract Ferroelectric capacitors whose rated voltage is basically defined by the requirement of a fair linearity of the (generally nonlinear) capacitors’ voltage–charge characteristic, not by the breakdown voltage, which can be much higher, are widely used today.
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