The optimization of trajectories of linear functional differential equations
Linear functional differential equations trajectory optimization, proving maximal principle
Banks, H. T.↗
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An exact differential method to determine Liapunov stability
Liapunov function time derivative for autonomous system asymptotic stability tests by exact differential method
Rahman, M. A.↗
Behavior near a periodic orbit of functional differential equations
Equilibrium points and periodic orbits, using qualitative theory of autonomous functional differential equations
Hale, J. K.↗
Forward and backward continuation for neutral functional differential equations
Neutral functional differential equations, discussing forward and backward continuation
Hale, J. K.↗
Differential drain resistance of field-effect transistors beyond pinch-off - A comparison between theory and experiment
Differential drain resistance calculation for junction field effect transistors
Kim, C.-K.↗
Flutter of a buckled plate exposed to a static pressure differential
Flutter of buckled plate exposed to static pressure differential and streamwise applied in- plane load, comparing experimental results with stability boundary calculations
Ventres, C. S.↗
On a transformation of the differential equations of the lunar theory
Hill-Brown differential equations for satellite coordinates transformed for integration with analytical programming language
Musen, P.↗
Critical cases for neutral functional differential equations
Neutral functional equation including scalar differential-difference equation, determining sufficient conditions for zero solution
Hale, J. K.↗
The use of gradient methods in solving a differential game of relevance in aerial combat
Zero sum differential game solution for aerial combat problem, applying direct gradient methods
Montgomery, R. C.↗
A Differential ECG Amplifier with Single-Ended Output
Three-stage amplifier is used for ECG measurements which require conversion of differential input to single-ended output. Circuit may be useful in biological telemetry for amplification of signals from specimen-implanted sensors.
L Katchis↗
Control of functional differential equations to target sets in function space
Optimal control of systems governed by functional differential equations of retarded and neutral type is considered. Problems with function space initial and terminal manifolds are investigated. Existence of optimal controls, regularity, and bang-bang properties are discussed. Necessary and sufficient conditions are derived, and several solved examples which illustrate the theory are presented.
Banks, H. T.↗
The stability of coupled renewal-differential equations with econometric applications
Concepts and results are presented in the fields of mathematical modeling, economics, and stability analysis. A coupled renewal-differential equation structure is presented as a modeling form for systems possessing hereditary characteristics, and this structure is applied to a model of the Austrian theory of business cycles. For realistic conditions, the system is shown to have an infinite number of poles, and conditions are presented which are both necessary and sufficient for all poles to lie strictly in the left half plane.
Rhoten, R. P.↗
Control of functional differential equations with function space boundary conditions
Problems involving functional differential equations with terminal conditions in function space are considered. Their application to mechanical and electrical systems is discussed. Investigations of controllability, existence of optimal controls, and necessary and sufficient conditions for optimality are reported.
Banks, H. T.↗
Variational differential equations for engineering type trajectories close to a planet with an atmosphere
The differential equations for the adjoint variables are derived and coded in FORTRAN. The program is written in a form to either take into account or neglect thrust, aerodynamic forces, planet rotation and oblateness, and altitude dependent winds.
Dickmanns, E. D.↗
Differential cross sections at forward angles for hydrogen and helium particles from 62 MeV protons incident on Ni-60
Tabulated differential cross sections are presented for the production, at angles of 15, 20, 25, and 40 deg, of proton, deuteron, triton, helium-3, and alpha particles from Ni-60 bombarded by 62-MeV protons. Continuum cross sections are listed in about 1-MeV bins for energies above lower cutoffs which range from 4 to 15 MeV for the different types of exit particles. Only the integral cross section is known for a considerable energy range within each spectrum. The proton, deuteron, and alpha particle cross sections are the same in the continuum range region above the evaporation peak as those cross sections previously observed for Fe-54 and Fe-56, but the corresponding yield of tritons is higher from Ni-60 and Fe-56 than from Fe-54.
Peelle, R. W.↗
Oscillations in neutral functional differential equations
Fredholm alternative for the existence of periodic solutions of a nonhomogeneous linear neutral functional differential equation was announced. Boundary value problems were used to solve the theorems.
Hale, J. K.↗
Differential geometric methods in control
Differential geometric investigations of control problems with switched electrical networks
Sussmann, H. T.↗
The effect of the nonuniform dc field on carrier waves in negative differential mobility semiconductors
The growth of a carrier wave propagating through a negative differential mobility semiconducting sample is discussed under nonuniform dc bias conditions. A simple analytical expression for the overall numerical gain is given in terms of current density and of the input and output carrier wave velocities only. Applications to n-type GaAs are discussed.
Bini, M.↗