Resonance phenomena and the non-applicability of the ''third'' integral.
Invariant curves dissolution and nonapplicability of third integrals explained examining perturbation values and initial conditions and resonance phenomena
ORBIT CALCULATION↗
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Results for “invariance”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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On the decoupling of multivariable systems.
Necessary and sufficient conditions for decoupling time-invariant linear multivariable system by state variable feedback, discussing transfer matrix consequences
MATRIX ALGEBRA↗
Rapid identification of linear and nonlinear systems.
Rapid parameter identification system for linear time-invariant plant with only input and output measurable
TRANSFER FUNCTION↗
Solution of differential equations by application of transformation groups
Report applies transformation groups to the solution of systems of ordinary differential equations and partial differential equations. Lies theorem finds an integrating factor for appropriate invariance group or groups can be found and can be extended to partial differential equations.
Driskell, C. N., Jr.↗
Relativity principles and the role of coordinates in physics
Invariance properties and conservation laws associated with general relativity
Anderson, J. I., Jr.↗
Research in the general area of non-linear dynamical systems Final report, 8 Jun. 1965 - 8 Jun. 1967
Nonlinear dynamical systems research on systems stability, invariance principles, Liapunov functions, and Volterra and functional integral equations
Hermes, H.↗
Some stability theorems for ordinary difference equations.
LaSalle-like stability theorems using invariance properties of ordinary difference equations solutions, deriving convergence region
Hurt, J.↗
Behavior of triangular shell-element stiffness matrices associated with polyhedral deflection distributions.
Invariants of triangular shell element stiffness matrices associated with polyhedral deflection distribution, discussing effect of geometry
Melosh, R. J.↗
Decoupling in the design and synthesis of multivariable control systems.
Time invariant linear control system decoupling using state variable feedback, determining synthesis procedure to obtain desired closed loop configurations
Falb, P. L.↗
On the asymptotic stability of the null solution of linear differential equations with periodic coefficients.
Asymptotic stability of feedback systems with linear time invariant forward loop and periodic gain, giving graphic technique to determine multiplier existence
Willems, J. C.↗
Resonance phenomena and the non-applicability of the ''third'' integral.
Third integral of dynamical problems, dissolution of invariant curves, perturbations of initial conditions and effect on motions and resonant orbit phenomena
Contopoulos, G.↗
A new approach to stochastic control.
Optimizing stochastic control problem by addition of estimation-penalty functions to performance index, using invariant imbedding procedure
Melsa, J. L.↗
Computation of fuel-optimal control via Newton's method - Theory.
Fixed time fuel optimal control of linear time invariant plant, using Pontryagin minimum principle and Newton method
Athans, M.↗
Kinematic relations and phase space for the reaction M/x, xt/N
Relativistic invariant kinematic relations and phase space for interaction of incoming particle with particle bound in nuclear system
Gugelot, P. C.↗
Empirical Observations on the Sensitivity of Hot Cathode Ionization Type Vacuum Gages
A study of empirical methods of predicting tile relative sensitivities of hot cathode ionization gages is presented. Using previously published gage sensitivities, several rules for predicting relative sensitivity are tested. The relative sensitivity to different gases is shown to be invariant with gage type, in the linear range of gage operation. The total ionization cross section, molecular and molar polarizability, and refractive index are demonstrated to be useful parameters for predicting relative gage sensitivity. Using data from the literature, the probable error of predictions of relative gage sensitivity based on these molecular properties is found to be about 10 percent. A comprehensive table of predicted relative sensitivities, based on empirical methods, is presented.
Summers, R. L.↗
Testing function techniques in system identification
Linear time invariant differential method for testing functions in system identification and control
Bass, R. M.↗
Directional characteristics of lunar nighttime radiation.
Angular dependence of lunar nighttime IR radiation by invariant tensor techniques, noting surface roughness effect on radiation pattern
Sexl, H.↗
Frequency domain stability criteria for distributed parameter systems.
Frequency domain stability criteria for open and closed loop distributed parameter linear time invariant systems
Khatri, H. C.↗