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Proceedings of the 1993 American Control conference

ISBN: (纸本)0780308611

The conference third volume contains 224 papers. The topics covered include adaptive control;aerospace systems;nonlinear control in mechanical applications;fuzzy control;process control;linearization techniques;discrete event systems;identification;computer aided design;optimization methods;mechanical systems;applications of stability theory;robust LQ control;space station Freedom;robotics;neural networks;batch processes and discrete events;nonlinear control;modeling and simulation;discrete time systems;numerical methods;optimal control;motion and vibration control;decentralized control;robust pole placement;adaptive nonlinear control;flexible manipulators;modeling and control of microelectronics;stability theory;fault tolerant control;and linear systems.

关键词： Control systems

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Finite dimensional optimal control problem in inverse acoustics applications

Finite dimensional optimal control problem in inverse acoust...

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Proceedings of the 32nd IEEE conference on Decision and Control. Part 2 (of 4)

作者： Crosta, Giovanni Universita degli Studi di Milano Milan Italy

ISBN: (纸本)0780312988

A non linear, finite dimensional optimal control problem is considered, which consists of determining the shape of an acoustic scatterer from information about the scattering amplitude. The shape parameters, which describe the unknown obstacle surface, are the control variables. Three aspects of the proposed method of solution are relevant as applications of optimal control theory: i) the finite dimensional formulation, obtained from the properties of complete families in state space;ii) the minimization of a one term cost function, the `boundary defect', where some constraints, treated as a penalty term by previous methods, are now translated into the action of an approximate back propagation (ABP) operator acting on the far field coefficients, the latter being estimated from the scattering amplitude;iii) the computationally efficient structure of the minimization algorithm, where data back propagation and shape parameter update occur in two separate stages. Some details of the physical problem are provided. The corresponding model and the solution algorithm are described. Existence and uniqueness of the optimal control are considered. Several numerical results are presented, which comply with an error estimate based on the approximation scheme.

关键词： Optimal control systems

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RANK DETECTION methods FOR SPARSE MATRICES

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SIAM JOURNAL ON MATRIX ANALYSIS AND applications 1992年第4期13卷 1279-1297页

作者： BARLOW, JL VEMULAPATI, UB OAK RIDGE NATL LAB OAK RIDGE TN 37831 USA UNIV CENT FLORIDA DEPT COMP SCI ORLANDO FL 32816 USA

A method is proposed for estimating the numerical rank of a sparse matrix. The method uses orthogonal factorization along with a one-norm incremental condition estimator that is an adaptation of the LINPACK estimator. This approach allows the use of static storage allocation as is used in SPARSPAK-B, whereas there is no known way to implement column pivoting without dynamic storage allocation. It is shown here that this approach is probably more accurate than the method presently used by SPARSPAK-B. The method is implemented with an overhead of O(n(U) log n) operations, where n(U) is the number of nonzeros in the upper triangular factor of the matrix. In theory, it can be implemented in O(max{n(U), n log n}) operations, but this requires the use of a complicated data structure. It is shown how a variant of this strategy may be implemented on a message-passing architecture. A prototype implementation is done and tests show that the method is accurate and efficient. Ways in which the condition estimator and the rank detection method can be used are also discussed, along with the rank-revealing orthogonal factorizations of Foster [linear algebra Appl., 74 (1986), pp. 47-72] and Chan [linear algebra Appl., 88/89 (1987), pp. 67-82].

关键词： SPARSE MATRICES ORTHOGONAL FACTORIZATION CONDITION ESTIMATION numerical RANK

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A GLOBALLY WELL-POSED FINITE-ELEMENT ALGORITHM FOR AERODYNAMICS applications

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INTERNATIONAL JOURNAL FOR numerical methods IN FLUIDS 1991年第5期12卷 407-441页

作者： IANNELLI, GS BAKER, AJ Department of Engineering Science and Mechanics The University of Tennessee Knoxville TN 37996-2030 U.S.A.

A finite element CFD algorithm is developed for Euler and Navier-Stokes aerodynamic applications. For the linear basis, the resultant approximation is at least second-order-accurate in time and space for synergistic use of three procedures: (1) a Taylor weak statement, which provides for derivation of companion conservation law systems with embedded dispersion-error control mechanisms;(2) a stiffly stable second-order-accurate implicit Rosenbrock-Runge-Kutta temporal algorithm;and (3) a matrix tensor product factorization that permits efficient numerical linear algebra handling of the terminal large-matrix statement. Thorough analyses are presented regarding well-posed boundary conditions for inviscid and viscous flow specifications. numerical solutions are generated and compared for critical evaluation of quasi-one- and two-dimensional Euler and Navier-Stokes benchmark test problems. Of critical importance, essentially non-oscillatory solutions are uniformly attained for a range of supercritical flow situations with shocks.

关键词： COMPRESSIBLE NAVIER-STOKES EQUATIONS TAYLOR WEAK STATEMENT CURVIlinear COORDINATE DISSIPATION LYAPUNOV STABILITY theory WELL-POSED BOUNDARY CONDITIONS FINITE ELEMENT SEMI-DISCRETIZATION IMPLICIT ROSENBROCK-RUNGE-KUTTA SCHEME TENSOR MATRIX PRODUCT FACTORIZATION

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Proceedings of the 21st Microwave conference

Proceedings of the 21st Microwave Conference

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Proceedings of the 21st Microwave conference

ISBN: (纸本)0946821429

The conference first volume contains 128 papers. The topics covered include oscillators and sources, numerical methods for waveguiding structures, submillimeter receivers, power devices and circuits, CAD techniques for linear and nonlinear applications, Millimeter-wave solid state devices, mobile radio communications, modern microwave education, industrial applications, MMICs, analyzers and reflectometers, field theory, low-noise heterojunction devices, array antennas, guiding structures, radar and remote sensing.

关键词： Microwave devices

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HYPERBOLIC ROTATION OF SUBSPACES AND VLSI ALGORITHMS FOR SIGNAL-PROCESSING AND numerical linear algebra

HYPERBOLIC ROTATION OF SUBSPACES AND VLSI ALGORITHMS FOR SIG...

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1990 INTERNATIONAL SYMP ON CIRCUITS AND SYSTEMS ( ISCAS 90 )

作者： GOTZE, J PAULI, R SCHWIEGELSHOHN, U Inst on Network Theory & Circuit Design Tech Univ Munich West Germany

Starting from the viewpoint of linear physical systems, a brief study is presented of energy-conserving or J-orthogonal transformations in a space with an indefinite metric under the special aspect of their VLSI realization. A mesh-connected array of n² processor cells, each performing a plane hyperbolic rotation, is shown to be the most natural of n-dimensional subspaces. Isometric linear fractional maps of contractive matrices to the zero matrix and hyperbolic Cholesky factorization are presented as the most interesting applications in generalized Schur methods, digital signal processing, and numerical linear algebra. Using the Cholesky factorization as an example, a square-root- and division-free computation scheme for hyperbolic rotations that is highly suited for VLSI implementation is presented.

关键词： Integrated Circuits, VLSI

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Hyperbolic rotation of subspaces and VLSI algorithms for signal processing and numerical linear algebra

Hyperbolic rotation of subspaces and VLSI algorithms for sig...

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IEEE International Symposium on Circuits and Systems (ISCAS)

作者： J. Gotze R. Pauli U. Schwiegelshohn Institute on network theory and circuit design Munich Germany IBM Thomas J. Watson Research Center Yorktown Heights NY USA

Starting from the viewpoint of linear physical systems, a brief study is presented of energy-conserving or J-orthogonal transformations in a space with an indefinite metric under the special aspect of their VLSI realization. A mesh-connected array of n/sup 2/ processor cells, each performing a plane hyperbolic rotation, is shown to be the most natural of n-dimensional subspaces. Isometric linear fractional maps of contractive matrices to the zero matrix and hyperbolic Cholesky factorization are presented as the most interesting applications in generalized Schur methods, digital signal processing, and numerical linear algebra. Using the Cholesky factorization as an example, a square-root- and division-free computation scheme for hyperbolic rotations that is highly suited for VLSI implementation is presented.< >

关键词： Signal processing algorithms Very large scale integration Circuit synthesis Extraterrestrial measurements Digital signal processing linear algebra Coordinate measuring machines Energy measurement Power measurement Length measurement

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HOMOTOPY METHOD FOR SOLVING algebraIC RICCATI-EQUATIONS

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IEE PROCEEDINGS-D CONTROL theory AND applications 1989年第2期136卷 68-72页

作者： WANG, SS PAN, CT Department of Electrical Engineering National Tsing Hua University Hsinchu Republic of China

In the paper, a new method is presented for solving algebraic Riccati equations. The proposed method possesses an almost globally convergent characteristic and, hence, is very suitable for finding the Riccati equation solution of an ill conditioned control system. The new method is simple and easy to implement. Some typical numerical examples are also given for illustration.

关键词： optimal control Control system analysis and synthesis methods Optimal control convergence of numerical methods almost globally convergent characteristic algebraic Riccati equations control system synthesis optimal control system design algebra matrix algebra homotopy method linear control systems linear algebra (numerical analysis) ill conditioned control system numerical method

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PARAMETRIC STATE-FEEDBACK CONTROL FOR ARBITRARY EIGENVALUE ASSIGNMENT WITH MINIMUM SENSITIVITY

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IEE PROCEEDINGS-D CONTROL theory AND applications 1989年第6期136卷 307-313页

作者： OWENS, TJ OREILLY, J UNIV STRATHCLYDE DEPT ELECTR & ELECT ENGNIND CONTROL UNITGLASGOW G1 1XWSCOTLAND

The problem of closed-loop system eigenvalue sensitivity to small parameter variations in some, but not all, of the elements of the open-loop system model matrices is considered. An insightful parameterisation of all assignable closed-loop eigenvalue sensitivities is provided through the application of a recent explicit parameterisation of the class of linear eigenvalueassigning state-feedback controllers. Based on this parameterisation, a numerical optimisation method for designing a constant gain feedback matrix which assigns the closed-loop eigenvalues to desired locations, such that these eigenvalues have low sensitivity to variation in the open-loop state-space model, is presented.

关键词： optimisation eigenvalues and eigenfunctions eigenvalue assignment state-space methods control system synthesis closed-loop system sensitivity analysis closed loop systems sensitivity multivariable control systems Multivariable control systems matrix algebra feedback state-feedback controllers algebra state-space model Control system analysis and synthesis methods parametric control

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Parallel and large scale matrix computations in control. Some ideas

Parallel and large scale matrix computations in control. Som...

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Computer Aided Design in Control Systems 1988 - Selected Papers from the 4th IFAC Symposium

作者： Datta, B.N. Datta, K. Univ of California United States

The design and analysis of time-invariant linear control systems give rise to a variety of interesting linear algebra problems. numerically effective methods now exist for several of these problems. However, algorithms for large scale computations and efficient parallel algorithms for these problems are virtually nonexistent. In this paper, we propose several efficient general-purpose parallel algorithms for single-input and multi-input eigenvalue assignment problems. A desirable feature of these algorithms is that they are composed of simple linear algebraic operations such as matrix-vector multiplication, solution of a linear system, and computations of eigensystem and singular values of a symmetric matrix, for which efficient parallel algorithms have already been developed and parallel software libraries are being built based on these algorithms. The proposed algorithms thus have potential for implementations on some existing and future parallel processors. We also propose numerical method for Sylvester matrix equation arising in the construction of Luenberger observer. The method does not need reduction to 'condensed' forms and is thus suitable for large and sparse matrices. The method also exhibits certain parallelism.

关键词： Control Systems, linear

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