Differential equations
48,292 resources related to Differential equations
IEEE Organizations related to Differential equations
Back to TopConferences related to Differential equations
Back to Top2013 IEEE 11th International Symposium on Intelligent Systems and Informatics (SISY 2013)
The aim of SISY 2013 Symposium is to offer researchers an opportunity to extend theexisting scientific relationships not only between Hungarian and Serbian scientists, but all over the world in thefield of Intelligent Systems. Our hope is that researchers and lecturers working at various institutions will findcommon research areas at the conference so that they can cooperate on bilateral or international projects.
bringing together under a unique forum different groups of qualified scientists, engineers, researchers and practitioners from Academia, Industry, the Federal Governemnt, Federal Laboratories, funding agencies, and representatives of other national and international organizations, to discuss the stateoftheart and future directions in advanced control technology and applications, intelligent systems, computational intelligence, computational methods for control system design, handling and incorporating uncertainty in system design and control, and novel and cutting edge technologies as applied to complex systems.
Periodicals related to Differential equations
Back to TopAntennas and Propagation, IEEE Transactions on
Experimental and theoretical advances in antennas including design and development, and in the propagation of electromagnetic waves including scattering, diffraction and interaction with continuous media; and applications pertinent to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques.
Automatic Control, IEEE Transactions on
The theory, design and application of Control Systems. It shall encompass components, and the integration of these components, as are necessary for the construction of such systems. The word `systems' as used herein shall be interpreted to include physical, biological, organizational and other entities and combinations thereof, which can be represented through a mathematical symbolism. The Field of Interest: shall ...
Biomedical Engineering, IEEE Transactions on
Broad coverage of concepts and methods of the physical and engineering sciences applied in biology and medicine, ranging from formalized mathematical theory through experimental science and technological development to practical clinical applications.
Computers, IEEE Transactions on
Design and analysis of algorithms, computer systems, and digital networks; methods for specifying, measuring, and modeling the performance of computers and computer systems; design of computer components, such as arithmetic units, data storage devices, and interface devices; design of reliable and testable digital devices and systems; computer networks and distributed computer systems; new computer organizations and architectures; applications of VLSI ...
Geoscience and Remote Sensing, IEEE Transactions on
Theory, concepts, and techniques of science and engineering as applied to sensing the earth, oceans, atmosphere, and space; and the processing, interpretation, and dissemination of this information.
Xplore Articles related to Differential equations
Back to TopDynamic simulation of the induction motor: main variables in a dynamic motor performing
X. A. Morera; E. V. Rovira Electrical Machines and Systems, 2001. ICEMS 2001. Proceedings of the Fifth International Conference on, 2001
Is very important to test the main variables of electric motors, and to predicting the performance of motors which have yet to be built. One of the most important characteristics of the simulation models is that they provide all the parameters of motor tests that are desired in just a few seconds. In this paper, the authors show the characteristic ...
Nash and Minimax BiCumulant Games
Ronald W. Diersing; Michael K. Sain Proceedings of the 45th IEEE Conference on Decision and Control, 2006
Cumulants have been gaining interest in control lately. This paper applies cumulants to the area of game theory and gives sufficient conditions for nonzero and zero sum games to a class of nonlinear systems. With a linear system and quadratic costs, Nash and minimax equilibrium solutions are found. The games consider the finite time horizon, state feedback problem. Special cases ...
A perfectly matched layer for the 3D wave equation in the time domain
Y. Rickard; N. Georgieva; WeiPing Huang IEEE Microwave and Wireless Components Letters, 2002
In this paper, a threedimensional (3D) PML for the 3D scalar wave equation is proposed for applications in practical finite difference timedomain schemes such as the timedomain wavepotential (TDWP) technique and the time domain scalar wave equation approaches to the analysis of optical waveguides. The theoretical formulation is based on the stretched coordinates approach. It is shown that this PML ...
Existence of solutions in dynamic optimization
F. H. Clarke [1991] Proceedings of the 30th IEEE Conference on Decision and Control, 1991
A new existence theory is presented for a standard problem in optimum control consisting of minimizing the cost integral over the processes satisfying given dynamics and prescribed conditions on the values of the state. The theory presented proceeds in an indirect way by invoking necessary conditions at a certain intermediate point, thereby generating a minimizing sequence with special properties. The ...
Active signal restoration for the telegraph equation
M. Fliess; P. Martin; N. Petit; P. Rouchon Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 1999
We compensate by a prefilter the distortion of an input signal along an electric line modeled by the telegraph equation. The prefilter is based on the socalled flatness property of the telegraph equation. We derive the explicit equation of the filter and illustrate the relevance of our approach by a few simulations
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Educational Resources on Differential equations
Back to TopeLearning
Dynamic simulation of the induction motor: main variables in a dynamic motor performing
X. A. Morera; E. V. Rovira Electrical Machines and Systems, 2001. ICEMS 2001. Proceedings of the Fifth International Conference on, 2001
Is very important to test the main variables of electric motors, and to predicting the performance of motors which have yet to be built. One of the most important characteristics of the simulation models is that they provide all the parameters of motor tests that are desired in just a few seconds. In this paper, the authors show the characteristic ...
Nash and Minimax BiCumulant Games
Ronald W. Diersing; Michael K. Sain Proceedings of the 45th IEEE Conference on Decision and Control, 2006
Cumulants have been gaining interest in control lately. This paper applies cumulants to the area of game theory and gives sufficient conditions for nonzero and zero sum games to a class of nonlinear systems. With a linear system and quadratic costs, Nash and minimax equilibrium solutions are found. The games consider the finite time horizon, state feedback problem. Special cases ...
A perfectly matched layer for the 3D wave equation in the time domain
Y. Rickard; N. Georgieva; WeiPing Huang IEEE Microwave and Wireless Components Letters, 2002
In this paper, a threedimensional (3D) PML for the 3D scalar wave equation is proposed for applications in practical finite difference timedomain schemes such as the timedomain wavepotential (TDWP) technique and the time domain scalar wave equation approaches to the analysis of optical waveguides. The theoretical formulation is based on the stretched coordinates approach. It is shown that this PML ...
Existence of solutions in dynamic optimization
F. H. Clarke [1991] Proceedings of the 30th IEEE Conference on Decision and Control, 1991
A new existence theory is presented for a standard problem in optimum control consisting of minimizing the cost integral over the processes satisfying given dynamics and prescribed conditions on the values of the state. The theory presented proceeds in an indirect way by invoking necessary conditions at a certain intermediate point, thereby generating a minimizing sequence with special properties. The ...
Active signal restoration for the telegraph equation
M. Fliess; P. Martin; N. Petit; P. Rouchon Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 1999
We compensate by a prefilter the distortion of an input signal along an electric line modeled by the telegraph equation. The prefilter is based on the socalled flatness property of the telegraph equation. We derive the explicit equation of the filter and illustrate the relevance of our approach by a few simulations
More eLearning Resources
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Larson Collection interview with John V. Atanasoff
IEEEUSA EBooks

Statistical Synthesis of Physically Based Load Models with Applications to Cold Load Pickup
Physically based load models are useful in the planning, operation and control of power systems, especially when it is necessary to predict the behavior of the system load due to changes in the system. This paper presents a methodology for predicting the load at a point in the system starting from elementary component load models. The methodology consists of three key steps: modeling of elementaxy component loads; classification into homogeneous (similar) groups; and aggregation of the load models in each homogeneous group using statistical techniques. The methodology is illustrated with the cold load pickup problem, Where a mathematical model for the evolution of the fraction of ?>on?> space heaters is developed. The resulting model consists of a system of coupled ordinary and partial differential equations for each homogeneous group of component loads. Numerical solutions of the equations are used to predict the fraction of honh loads. The methodology is also applicable to direct load management.

Partial Differential Equations
This chapter contains sections titled: Boundary Conditions PDE Classification Scheme Analytical Solution Techniques Numerical Solution Methods

Numerical Analysis in Electromagnetics
EM modeling and simulation (EMMODSIM) necessitates a good understanding and use of numerical analysis. Builtin MATLAB functions such as roots(), diff(), gradient(), trapz(), and inv() can be used for most of numerical analysis jobs. Although MATLAB makes life easy for engineers, EMMODSIM people should always depend on their own codes; at least aware of and well understand what is going on behind these builtin commands. This chapter reviews briefly some numerical analysis fundamentals which are essential for EMMODSIM studies. Taylor's expansion is one of a few important methods for the numerical solution of ordinary differential equations (ODEs). An important topic in numerical analysis is the root finding of a given nonlinear function. Method of moments (MoM) is used to solve linear systems of equations. Multiloop circuits are also solved using linear systems of equations.

Most neural network programs for personal computers simply control a set of fixed, canned networklayer algorithms with pulldown menus. This new tutorial offers handson neural network experiments with a different approach. A simple matrix language lets users create their own neural networks and combine networks, and this is the only currently available software permitting combined simulation of neural networks together with other dynamic systems such as robots or physiological models. The enclosed student version of DESIRE/NEUNET differs from the full system only in the size of its data area and includes a screen editor, compiler, color graphics, help screens, and readytorun examples. Users can also add their own help screens and interactive menus.The book provides an introduction to neural networks and simulation, a tutorial on the software, and many complete programs including several backpropagation schemes, creeping random search, competitive learning with and without adaptiveresonance function and "conscience," counterpropagation, nonlinear Grossbergtype neurons, Hopfieldtype and bidirectional associative memories, predictors, function learning, biological clocks, system identification, and more.In addition, the book introduces a simple, integrated environment for programming, displays, and report preparation. Even differential equations are entered in ordinary mathematical notation. Users need not learn C or LISP to program nonlinear neuron models. To permit truly interactive experiments, the extrafast compilation is unnoticeable, and simulations execute faster than PC FORTRAN.The nearly 90 illustrations include block diagrams, computer programs, and simulationoutput graphs.Granino A. Kom has been a Professor of Electrical Engineering at the University of Arizona and has worked in the aerospace industry for a decade. He is the author of ten other engineering texts and handbooks.

Mathematical Formulations for Electromagnetic Fields
There are various mathematical formulations for representing electromagnetic fields. They are equivalent to each other mathematically, but distinct in terms of numerical behavior. In this chapter, we will give a brief introduction to the three kinds of mathematical formulations employed in computational electromagnetics: vector partial differential equations, vector wave equations, and vector integral equations, which are the mathematical foundations of the finitedifference timedomain (FDTD) method, the finite element method (FEM), and the method of moment (MoM), respectively.

This chapter contains sections titled: Preliminaries Partial differential equations Unbounded operators and eigenvalues

Electromagnetic Theory: Basic Review
This chapter brings together fundamental electromagnetic (EM) concepts, mathematical relations, and physical meanings. It illustrates three wellknown coordinate systems and discusses the relations among them. Electromagnetic problems such as antenna radiation or radar crosssection prediction are better modeled via vector (and scalar) potentials. The concept of delta function is used in EM source representations. Guided wave propagation problems in telecommunications media are best treated using reduced equations obtained from the longitudinal and transverse decomposition of Maxwell equations. This yields the wellknown transverse electric (TE), transverse magnetic (TM), and transverse EM (TEM) field representations under different polarizations. Electromagnetic problems involve linear, secondorder differential equations. Any linear, secondorder PDE can be classified as elliptic, hyperbolic, or parabolic.

Techniques for Solving AC Circuits
This chapter is mainly devoted to the analysis of alternating current (AC) circuits, in which all the quantities (mainly currents, voltages, powers) vary as sinusoids over time. In addition, it deals with two kinds of circuits in which the quantities do not vary as sinusoids, namely the RL circuit (containing a resistor and an inductor) and the RC circuit (containing a resistor and a capacitor). The chapter introduces circuit branches, whose idealized behaviour can be mathematically described by other constitutive equations. Since these are differential equations, it shows that the corresponding components have some energy storage capability and are therefore called globally energy storage elements. The phasors circuit was introduced, showing that Kirchhoff's equations can be written directly in terms of phasors.

This chapter contains sections titled: Secondorder Differential Equation Secondorder Difference Operator Moment Solutions Extended Operators Firstorder Differential Equations Moment Solutions Extended Operators Use of Generalized Impedances This chapter contains sections titled: References

Computation of the Exponential Matrix
Although state variable concepts are a part of modern control theory, they have not been extensively applied in communication theory. The purpose of this book is to demonstrate how the concepts and methods of state variables can be used advantageously in analyzing a variety of communication theory problems. In contrast to the impulse response and covariance function description of systems and random processes commonly used in the analysis of communication problems, Professor Baggeroer points out that a state variable approach describes these systems and processes in terms of differential equations and their excitation, which is usually a whitenoise process. Theoretically, such a description provides a very general characterization on which a large class of systems, possibly time varying and nonlinear, can be modeled. Practically, the state variable approach often provides a more representative physical description of the actual dynamics of the systems involved and, most importantly, can lead to solution techniques that are readily implemented on a computer and that yield specific numerical results.The work focuses on how state variables can be used to solve several of the integral equations that recur in communication theory including, for example, the KahunenLoeve theorem, the detection of a known signal in the presence of a colored noise, and the WienerHopf equation. The book is divided into two parts. The first part deals with the development from first principles of the state variable solution techniques for homogeneous and inhomogeneous Fredholm integral solutions. The second part considers two specific applications of the author's integral equation theory: to optimal signal design for colored noise channels, and to linear estimation theory.The main thrust o f the material presented in this book is toward finding effective numerical procedures for analyzing complex problems. Professor Baggeroer has combined several different mathematical tools not commonly used together to attack the detection and signal design problems. Numerous examples are presented throughout the book to emphasize the numerical aspects of the author's methods. If the reader is familiar with detection and estimation theory and with deterministic state variable concepts, the ideas, techniques, and results contained in this work will prove highly relevant, if not directly applicable, to a large number of communication theory problems.MIT Research Monograph No. 61
Standards related to Differential equations
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