An invariance principle for dynamical systems in Hilbert spaces
Invariance method for extending Liapunov function to distributed parameter system
Infante, E. F.↗
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Domain analysis and measurement techniques for distributed RC structures. I - Analysis in the reciprocal time domain.
Delta functions spectrum in reciprocal time domain for LC and RC structures due to impulse response in distributed parameters
Gupta, S. C.↗
Forced and self-excited oscillations in propellant lines.
Rocket engines propellant feed systems dynamics analyzed by model using linear methods with distributed-parameter pipe representation
Keller, R. B.↗
Dynamic models for viscous fluid transmission lines.
Dynamic models for viscous fluid transmission lines using distributed parameter for accuracy and rational approximate form to avoid computational difficulty
Gerlach, C. R.↗
Limitations on millimeter-wave power generation with spiraling electron beams.
A study is made of the suitability of the interaction between a thin, solid, spiraling electron beam of 5-15-kV energy and a microwave cavity, for the purpose of generating watts of CW millimeter-wave power. The effect of finite energy spread in the electron beam is considered both theoretically and experimentally. Measured results are given for a prototype device operating at 9.4 GHz. Power outputs of 5 W and electronic efficiencies near 2% have been obtained. The data agree well with the theory, subject to some ambiguity in the energy-distribution parameters. The performance is strongly limited by the energy spread in the beam.
Kulke, B.↗
Theory of a general class of dissipative processes.
Development of a theory of periodic processes that is of sufficient generality for being applied to systems defined by partial differential equations (distributed parameter systems) and functional differential equations of the retarded and neutral type (hereditary systems), as well as to systems arising in the theory of elasticity. In particular, the attempt is made to develop a meaningful general theory of dissipative periodic systems with a wide range of applications.
Hale, J. K.↗
Stability of distributed systems with feedback via Michailov's criterion.
Development of a stability criterion of the Nyquist type from Michailov's criterion for a large class of distributed parameter systems, in particular, for a large class of transmission line systems with feedback. Following a generalization of Michailov's criterion, simplifying assumptions, usually valid in practice, are shown to yield a simplified test for determining whether 'encirclement-counting' constitutes a valid stability test. The results are reformulated for an open-loop analysis. Three examples show various aspects of the theoretical analysis.
Reis, G. C.↗
A technique for designing active control systems for astronomical telescope mirrors
This paper considers the problem of designing a control system to achieve and maintain the required surface accuracy of the primary mirror of a large space telescope. Control over the mirror surface is obtained through the application of a corrective force distribution by actuators located on the rear surface of the mirror. The design procedure is an extension of a model control technique developed for distributed parameter plants with known eigenfunctions to include plants whose eigenfunctions must be approximated by numerical techniques. Instructions are given for constructing the mathematical model of the system, and a design procedure is developed for use with. typical numerical data in selecting the number and location of the actuators. Examples of actuator patterns and their effect on various errors are given.
Active optics↗
Experimental investigation of resonance self-shielding and the Doppler effect in uranium and tantalum
A series of average transmission and average self-indication ratio measurements were performed in order to investigate the temperature dependence of the resonance self-shielding effect in the unresolved resonance region of depleted uranium and tantalum. The measurements were carried out at 77 K, 295 K and approximately 1000 K with sample thicknesses varying from approximately 0.1 to 1.0 mean free path. The average resonance parameters as well as the temperature dependence were determined by using an analytical model which directly integrates over the resonance parameter distribution functions.
Byoun, T. Y.↗
Energy-like Liapunov functionals for linear elastic systems on a Hilbert space.
An approach is presented for generating energy-like functionals for linear elastic dynamic systems on a Hilbert space. The objective is to obtain a family of functionals which may be used for stability analysis of the equilibrium, i.e., Liapunov functionals. Although the energy functional, when one exists, is always a member of this family, the family is shown to exist even when an energy functional does not. Several discrete and distributed-parameter examples are presented, as are certain specific techniques for utilizing this approach.
Walker, J. A.↗
An approximate method for the synthesis of optimal control of distributed systems.
An approximate method is presented for the synthesis of an optimal control of distributed parameter systems, based on a combination of the ideas of Lyapunov's direct method and those of Bellman's successive approximation in policy space. The method is such that the approximate equation is improved after each iteration in the sense of the performance index being used.
Park, K. E.↗
A linear voltage-tunable distributed null device.
A linear voltage-tunable null device was predicted, fabricated, and tested. This filter is conceptually a distributed parameter RC representation of the channel of a MOSFET in a network configuration with a second MOSFET that is treated as a variable resistor. Classical transmission-line theory is used to predict a linear tuning curve with applied bias for the device. This concept was used to design a null device having a null that is linearly tunable in the range of 100 kHz. Such devices were fabricated and tested. Typical MOS processing steps were used and the resulting structures are compatible with the planar technology. The compatibility leads towards extension of this work to different frequency ranges for other specific applications.
Benz, H. F.↗
Optimization of life support systems and their systems reliability
The identification, analysis, and optimization of life support systems and subsystems have been investigated. For each system or subsystem that has been considered, the procedure involves the establishment of a set of system equations (or mathematical model) based on theory and experimental evidences; the analysis and simulation of the model; the optimization of the operation, control, and reliability; analysis of sensitivity of the system based on the model; and, if possible, experimental verification of the theoretical and computational results. Research activities include: (1) modeling of air flow in a confined space; (2) review of several different gas-liquid contactors utilizing centrifugal force: (3) review of carbon dioxide reduction contactors in space vehicles and other enclosed structures: (4) application of modern optimal control theory to environmental control of confined spaces; (5) optimal control of class of nonlinear diffusional distributed parameter systems: (6) optimization of system reliability of life support systems and sub-systems: (7) modeling, simulation and optimal control of the human thermal system: and (8) analysis and optimization of the water-vapor eletrolysis cell.
Fan, L. T.↗
Analytical model for liquid rocket propellant feedline dynamics
A generalized analytical model and computer program have been developed to predict the frequency response of arbitrary liquid propellant feedline designs. The analytical model is based on an extension of an existing distributed parameter representation of a viscous fluid transmission line with laminar flow which was modified to include the effects of a turbulent mean flow. The effects of dissolved ullage gases, wall elasticity, localized gas or vapor bubbles, bellows, forced changes in length due to structural excitation, complex side branches, and structural mounting stiffness are also included. Each line component is written as a four-terminal, pressure-flow relationship in matrix form in the Laplace domain; the transfer function relating the pressure response at the line terminal (inducer inlet) to the external excitation is obtained in the computer program by sequential matrix substitution.
Holster, J. L.↗
A minimum principle for smooth first-order distributed systems
Consideration of the problem of characterizing optimal controls for a class of distributed parameter systems. The system dynamics are characterized mathematically by a finite number of coupled partial differential equations involving first-order time and space derivatives of the state variables. Boundary conditions on the state are in the form of a finite number of algebraic relations between the state and boundary control variables. A few directions are outlined in which the results obtained may be extended further.
Johnson, T. L.↗
State space representations of distributed fluid line dynamics
The purpose of this paper is to demonstrate the convenience of using a systematic straight forward procedure to obtain meaningful dynamic information for a class of complex distributed parameter fluid line networks. System transients in the time domain are determined by means of state space techniques. Digital computer implementation yields a simple but consistent way of obtaining overall system time solutions. A step-by-step analysis procedure flow chart is shown in Appendix I which illustrates the basic approach for modeling, approximating and selecting digital techniques for simulating the dynamic response of fluid line systems.
Yao, H.↗
Statistical analysis of general aviation VG-VGH data
To represent the loads spectra of general aviation aircraft operating in the Continental United States, VG and VGH data collected since 1963 in eight operational categories were processed and analyzed. Adequacy of data sample and current operational categories, and parameter distributions required for valid data extrapolation were studied along with envelopes of equal probability of exceeding the normal load factor (n sub z) versus airspeed for gust and maneuver loads and the probability of exceeding current design maneuver, gust, and landing impact n sub z limits. The significant findings are included.
Clay, L. E.↗
SHF filters in spacecraft antenna-feeder systems
The use of SHF-band filters in spacecraft antenna-feeder systems was investigated. These filters, depending on specific applications and requirements, may be constructed both of elements with lumped constants and of elements with distributed parameters.
Vlasov, Y. A.↗