Optimal nonlinear feedback control derived from quartic and higher-order performance criteria.
Optimal nonlinear feedback control derived from quartic and higher order performance criteria
INEQUALITY /MATH/↗
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Rational approximations to the solution of the second order Riccati equation.
Continued fraction rational approximations to solution of second-order nonlinear equation, including Ricatti equations treated by Merkes, Scott and Fair
APPROXIMATION METHOD↗
Effects of CW interference on narrow-band second-order phase-lock loops.
CW interference and white noise effect on second order phase lock loop, using reciprocal of loop mean square phase error as index of performance
PHASE LOCK↗
Third-order elastic constant C sub 111 in NaCl and KCl.
Third order elastic constant for NaCl and KCl single crystals by ultrasonic pulse techniques
SINGLE CRYSTAL↗
A generalized Zubov formulation for limit cycles in third order nonlinear systems.
Generalized Zubov formulation from Liapunov function of limit cycle behavior in third order nonlinear systems
TRAJECTORY ANALYSIS↗
The cyclotomic numbers of order eighteen with applications to difference sets.
Cyclotomic numbers of order 18 with applications to difference sets
NUMBER THEORY↗
On the expansion problem for nonself-adjoint ordinary differential operators of second order.
Theory of nonself-adjoint ordinary second order differential operators, discussing solution algorithms
BOUNDARY VALUE↗
Second-order density matrix for a spin- projected single determinant.
Irreducible tensorial components of two-electron operator and second-order density matrix for spin- projected single-determinantal wave function
ELECTRON SPIN↗
On the solution of some important second order differential equations in physics using Lie series.
General formula for homogeneous second-order differential equation by Lie series, noting computer application
SERIES EXPANSION↗
On the determinants of solutions of second- order matrix differential systems.
Matric generalization of polar coordinate transformation to second order matrix differential system
COORDINATE TRANSFORMATION↗
Long-range first-order interaction energy between two excited hydrogen atoms in either 2s or 2p states.
Long range first order interaction between two excited hydrogen atoms yielding perturbation energy matrix, discussing diagonalization process
HYDROGEN ATOM↗
Lyapunov functions for a class of n-th order nonlinear differential equations.
Liapunov function from quadratic polynomial for n-order nonlinear differential equations
LIAPUNOV FUNCTION↗
On the solution of the general inhomogeneous linear differential equation of second order using Lie series representation.
Inhomogeneous second order linear differential equation solution based on Lie formalism, presenting physical applications
DIFFERENTIAL EQUATION↗
Ferrous ion order-disorder in meteoritic pyroxenes and the metamorphic history of chondrites.
Ferrous ion order-disorder in meteoritic pyroxenes, using Moosbauer iron 57 absorption, noting metamorphic history of chondrites
METAMORPHISM↗
On the eigenvalues of a singular nonself- adjoint differential operator of second order.
Characterization of eigenvalues of singular nonself-adjoint differential operator of second order
SINGULARITY /MATH/↗
Sample quadratic variation of sample continuous second order martingales.
Sample continuous second order martingale process, determining existence of limit of stochastic processes using approximation theorems
RANDOM PROCESS↗
Second-order spectra of symmetric cyanine dyes.
Second order absorption spectra of symmetric cyanine dyes in methanol solution using spectrophotometer
SPECTROPHOTOMETER↗
Newton's method for convex operators in partially ordered spaces.
General convergence theorems for Newton method applied to convex operators for partially ordered topological linear spaces
CONVERGENCE↗