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Exact Solution of Some Linear Matrix Equations Using Algebraic Methods

IFAC Proceedings Volumes 1978年第1期11卷 1127-1134页

作者： T.E. Djaferis S.K. Mitter Department of Electrical Engineering and Computer Science and Electronic Systems Laboratory Massachusetts Institute of Technology Cambridge Mass. 02139 U.S.A.

Algebraic methods are used to construct the exact solution P (whenever a unique solution exists) of the linear matrix equation PA + BP =-C where A, B and C are n × n, m × m and m × n matrices respectively, with real entries. The method uses polynomial arithmetic and is based on the following idea: Let M be an F-module where F is a commutative ring with identity. Let there be elements a,b in F and x,y in M with a·b a unit in F (i.e. there exists a t in F such that t(ab) = 1 and ax = y. Then x = (t·b)y. The method can also be used when the matrices are taken over an arbitrary field or more generally an integral domain.

关键词： Linear equations algebra polynomials computational methods

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Realization of digital transfer functions using cascaded normalized two-pairs

Realization of digital transfer functions using cascaded nor...

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International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

作者： K. Mondal S. Mitra Department of Electrical Engineering & Computer Science and Computer Systems Laboratory University of California슠Santa Barbara Santa Barbara CA USA

A normalized digital two-pair has unity L p - scaling norms at all pertinent internal nodes and the two output nodes. A simple technique is proposed to derive the normalized filter structure recently forwarded by Gray... 详细信息

关键词： Transfer functions Lattices Polynomials computer science Laboratories Digital filters

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State-structures and minimal state-structures for arbitrary digital filters

State-structures and minimal state-structures for arbitrary ...

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International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

作者： K. Mondal S. Chakrabarti S. Mitra Department of Electrical Engineering & Computer Science and Computer Systems Laboratory University of California Santa Barbara CA USA Department of Electrical Engineering Rutgers University-Busch Campus New Brunswick NJ USA

This paper presents a formal procedure for determining the state space representations of any digital network consisting of adders, multipliers and delays. Such representations are called state-structures whenever the state variables are exclusively identified to the appropriately chosen internal node variables of the network. In general, the state-structures corresponding to a given network are not unique, and for non-canonic networks, it is sometimes possible to find state-structures for state vectors of the lowest dimension. Procedures for determining such minimal structures are also discussed.

关键词： Digital filters Equations State-space methods Adders Added delay computer science computer networks Laboratories

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Structural Reliability and Robustness Properties of Optimal Linear-Quadratic Multivariable Regulators *

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IFAC Proceedings Volumes 1978年第1期11卷 1797-1805页

作者： P-K. Wong G. Stein M. Athans Electronic Systems Laboratory Room 35-308 Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology Cambridge Mass. 02139 U.S.A.

Strong sufficient conditions are derived for the robustness of optimal linear- quadratic (LQ) regulators to large parameter perturbations. In particular, it is shown that under certain conditions LQ designs remain stable in the presence of actuator channel failures. The general results can be specialized to provide insight into the gain margin, gain reduction, and phase margin properties of optimal LQ regulators.

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An Alternate Method of Construction of a Network Function from Its Given Odd Part

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Proceedings of the IEEE 1978年第10期66卷 1278-1278页

作者： Mitra, Sanjit K. Department of Electrical Engineering and Computer Science Computer Systems Laboratory University ofCalifornia Santa Barbara CA 93106. United States

A new method of developing a stable network function from a specified odd part is outlined. The proposed method is based cm a modification of Miyata's method of constructing a network function from a specified eve... 详细信息

关键词： Transfer functions Polynomials Frequency Birth disorders Resistors Filtering H infinity control Impedance JFET circuits Voltage control

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A Minimum Delay Routing Algorithm Using Distributed Computation

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IEEE Transactions on Communications 1977年第1期25卷 73-85页

作者： Gallager, Robert G. Department of Electrical Engineering and Computer Science Electronic Systems Laboratory Research Laboratory for Electronics Massachusetts Institute of Technology Cambridge MA 02139 United States

An algorithm is defined for establishing routing tables in the individual nodes of a data network. The routing table at a node i specifies, for each other node j, what fraction of the traffic destined for node j should leave node i on each of the links emanating from node i. The algorithm is applied independently at each node and successively updates the routing table at that node based on information communicated between adjacent nodes about the marginal delay to each destination. For stationary input traffic statistics, the average delay per message through the network converges, with successive updates of the routing tables, to the minimum average delay over all routing assignments. The algorithm has the additional property that the traffic to each destination is guaranteed to be loop free at each iteration of the algorithm. In addition, a new global convergence theorem for non-continuous iteration algorithms is developed. Copyright © 1977 by The Institute of electrical and Electronics Engineers, Inc.

关键词： Delay Routing Distributed computing Telecommunication traffic Traffic control Data communication Telemetry Surveillance Automatic control Communication system control

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A Necessary and Sufficient Condition for Quantization Errors to be Uniform and White

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IEEE Transactions on Acoustics, Speech, and Signal Processing 1977年第5期25卷 442-448页

作者： Sripad, Anekal B. Department of Systems Science and Mathematics Washington University St. Louis MO 63130 United States Department of Electrical Engineering and the Biomedical Computer Laboratory Washington University St. Louis MO 63130 United States

In this paper, a necessary and sufficient condition is given to model the output of a quantizer as an infinite-precision input and an additive, uniform, white noise. The statistical properties of the quantization error are studied, and a detailed analysis for Gaussian distributed inputs is given. Copyright © 1977 by The Institute of electrical and Electronics Engineers, Inc.

关键词： Sufficient conditions Quantization Random variables Stochastic resonance Additive noise Error analysis Additive white noise White noise Digital filters

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Time-varying parametric modeling of speech

Time-varying parametric modeling of speech

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IEEE Conference on Decision and Control

作者： Mark Hall Alan V. Oppenheim Alan Willsky Naval Surface Weapons Center Dahlgren VA USA Department of Electrical Engineering and Computer Science and Research Laboratory of Electronics Massachusetts Institute of Technology Cambridge MA USA Department of Electrical Engineering and Computer Science and Electronic Systems Laboratory Massachusetts Institute of Technology Cambridge MA USA

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Comment on the Sequential and Indeterminate Behavior of an End-Around-Carry Adder

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IEEE Transactions on computers 1977年第3期C-26卷 271-272页

作者： Shedletsky IBM Thomas J. Watson Research Center Yorktown Heights NY USA Digital Systems Laboratory Department of Electrical Engineering and Computer Science University of Stanford Stanford CA USA

The sequential and indeterminate behavior of an end-around-carry (EAC) adder is examined. This behavior is commonly overlooked in the literature. Design modifications to impose determinism are provided. These modifica... 详细信息

关键词： End Around Carry EAC Adder Negative Zero Ones Complement Arithmetic

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Abstracts

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Environmental Management 1977年第1期1卷 67-96页

作者： Frankenfeld, John W. Schulz, Wolfgang McMurty, George J. Petersen, Gary W. May, G. A. Hering, F. S. Schwartz, J. I. Heywood, J. B. Chigier, N. A. Grohse, E. W. Walker, J. D. Colwell, R. R. Petrakis, L. Pergament, H. S. Thorpe, R. D. Schoepf, Richard W. Krzyczkowski, Roman Henneman, Suzanne S. Hudson, Charles L. Putnam, Evelyn S. Thiesen, Donna J. Parks, G. A. McCarty, Perry L. Leckie, J. O. Schrumpf, Barry J. Simonson, G. H. Paine, D. P. Lawrence, R. D. Pyott, W. T. Leh, M. Elders, W. Combs, J. Caplen, T. Harrison, F. L. Wong, K. M. Heft., R. E. Charnell, Robert L. Lehmann, Edward J. Mallon, Lawrence G. Hatfield, Cecile Adams, Gerald H. Johanning, James Talvitie, Antti Noll, Kenneth E. Miller, Terry Smiarowski, Joseph F. Willis, Cleve E. Foster, John H. Schlesinger, Benjamin Daetz, Douglas Lear, Donald U. Smith, Mona F. Hundemann, Audrey S. Crockett, Pernell W. Werner, Kirk G. Carroll, Thomas E. Maase, David L. Genco, Joseph E. Ifeadi, Christopher N. Lowman, F. G. Christensen, S. W. Van Winkle, W. Mattice, J. S. Harrison, Elizabeth A. Barker, James C. Chesness, Jerry L. Smith, Ralph E. Shaheeen, Donald G. Raney, R. Keith Borton, T. Wezernak, C. T. Raney, R. K. Sherwani, Jabbor K. Moreau, David H. Eisenberg, Norman A. Lynch, Cornelius J. Breeding, Roger J. Johnson, J. D. Foster, K. E. Mouat, D. A. Clark, R. Hyden, John William Owen, Wilfred Bayfield, Neil G. Barrow, Graham C. Stolz, Stephanie B. Wienckowski, Louis A. Brown, Betram S. Keyfitz, Nathan Wilson, W. L. Newman, Peter W. G. Bammi, Deepak Bammi, Dalip Goddard, James E. Chisholm, Tony Walsh, Cliff Brennan, Geoffrey Thompson, K. S. Richardson, R. Jensen, Clayton E. Brown, Dail W. Mirabito, John A. Cowing, Thomas G. Binghamton, Suny Siehl, George H. Albrecht, O. W. Alexander, Ariel Barde, Jean -Philippe Darby, William P. McMichael, Francis Clay Dunlap, Robert W. Muckleston, Keith W. Frankenhoff, Charles A. Giulini, Lorenzo T. Wyatt, T. Black, Peter E. Keating, William Thomas Leonard, M. E. Fisher, E. L. Brunelle, M. F. Dickinson, J. E. Pethig, Rudiger Clapham Exxon Research & Engineering Co. Linden Government Research Lab Coast Guard Washington D.C. Department of Transportation Washington D.C. Office For Remote Sensing of Earth Resources. NASA Earth Resources Survey Program Pennsylvania State University Washington D.C. Department of the Navy Washington D.C. Cambridge. Dept. of Mechanical Engineering Massachusetts Inst. of Technology USA Huntsville. School of Graduate Studies and Research Alabama Univ. USA Dept. of Microbiology. Office of Naval Research Maryland Univ. Arlington Research and Development Co. Pittsburgh AeroChem Research Labs. Inc. Princeton Dept. of the Interior Office of Library Services. Bibliographic Series (Final) Washington D.C. Interplan Corp. Santa Barbara Urban Mass Transportation Adm. Washington D.C. Naval Underwater Systems Center Newport Calif. Mercury Project. National Science Found Stanford Univ Washington D.C. Div. of Advanced Environmental Research & Tech. USA Corvallis. NASA Earth Resources Survey Program Oregon State Univ. Washington D.C. Riverside. Inst. of Geophysics and Planetary Physics National Science Foundation California Univ. Washington D.C. Livermore Lawrence Livermore Lab. California Univ. USA Atlantic Oceanographic and Meteorological Labs. National Oceanic and Atmospheric Administration Miami National Technical Information Service Springfield Miami Univ. Coral Gables School of Law National Oceanic and Atmospheric Administration Rockville National Academy of Sciences Office of Sea Grant Washington D. C. School of Law National Oceanic and Atmospheric Administration Office of Sea Grant. Rockville Norman. Dept. of Civil Engineering and Environmental Science. Urban Mass Transportation Administration Oklahoma Univ. Washington D. C. Knoxville.Dept. of Civil Engineering. Federal Highway Administration Tennessee Univ. Washington D. C. Amherst.Water Resources Research Center. Office of Water Research and Technology Massachusetts Univ. Washington D. C. Calif. Dept. of Industria

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