Ventilation-perfusion inequality and overall gas exchange in computer models of the lung.
Ventilation-perfusion inequality increase effects on lung overall gas exchange, using digital model
West, J. B.↗
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A transformation technique for optimal control problems with a state variable inequality constraint.
Slack variable to transform optimal control problem with scalar inequality constraint on state variables into unconstrained problem of higher dimension
Jacobson, D. H.↗
New necessary conditions of optimality for control problems with state-variable inequality constraints
Necessary conditions of optimality for control problems with state variable inequality constraints
Jacobson, D. H.↗
An improved generalized inverse algorithm for linear inequalities and its applications
Iterative, two-class algorithm for linear inequalities
Geary, L. C.↗
On an improved generalized inverse algorithm for linear inequalities
Iterative, two-class algorithm for linear inequalities
Source record↗
Suboptimal closed-loop controller design for minimum probability of inequality constraints violation
Suboptimal closed-loop controller design based on quadratic equivalence for linear time varying process with minimum probability of inequality constraints violation
Luh, J. Y. S.↗
A transformation technique for optimal control problems with a state variable inequality constraint
Slack variable to transform optimal control problem with scalar inequality constraint on state variables into unconstrained problem
Jacobson, D. H.↗
Solution of linear inequalities
Consistent and inconsistent linear inequalities evaluating speed and efficiency of algorithm for pattern recognition problems
Mengert, P. H.↗
On an improved generalized inverse algorithm for linear inequalities
Generalized inverse algorithm for solving linear inequalities from Ho-Kashyap algorithm
Geary, L. C.↗
An improved generalized inverse algorithm for linear inequalities and its applications
Generalized iterative inverse algorithm for linear inequalities set involved in pattern recognition and threshold logic requiring decision functions determination
Geary, L. C.↗
Optimization of non-linear systems with inequality constraints explicitly containing the control
Lifting reentry vehicle two dimensional motion optimization with inequality constraints explicitly containing control by perturbation method
Lastman, G. J.↗
Inequality constraints in primer-optimal, N-impulse solutions
Inequality constraints in primer optimal N impulse solutions, introducing penalty function and its gradient with respect to control variables
Faust, N. L.↗
New necessary conditions of optimality for control problems with state-variable inequality constraints
Necessary conditions of optimality for control problems with state variable inequality constraints, using separating hyperplane theorem
Jacobson, D. H.↗
A modified perturbation method for solving optimal control problems with state variable inequality constraints
Modified perturbation method for solving optimal control boundary value problems with state variable inequality constraints, noting application to reentry trajectories
Tapley, B. D.↗
The influence of the great inequality on the secular disturbing function of the planetary system.
This paper derives the contribution by the great inequality to the secular disturbing function of the principal planets. Andoyer's expansion of the planetary disturbing function and von Zeipel's method of eliminating the periodic terms is employed; thereby, the corrected secular disturbing function for the planetary system is derived. The conclusion is drawn that the canonicity of the equations for the secular variation of the heliocentric elements can be preserved if there be retained, in the secular disturbing function, terms only of the second and fourth order relative to the eccentricity and inclinations. The Krylov-Bogoliubov method is suggested for eliminating periodic terms, if it is desired to include the secular perturbations of the fifth and higher order in the heliocentric elements. The additional part of the secular disturbing function derived in this paper can be included in existing theories of the secular effects of principal planets.
Musen, P.↗
Optimal control problems with mixed control-phase variable equality and inequality constraints
In this paper, necessary conditions are obtained for optimal control problems containing equality constraints defined in terms of functions of the control and phase variables. The control system is assumed to be characterized by an ordinary differential equation, and more conventional constraints, including phase inequality constraints, are also assumed to be present. Because the first-mentioned equality constraint must be satisfied for all t (the independent variable of the differential equation) belonging to an arbitrary (prescribed) measurable set, this problem gives rise to infinite-dimensional equality constraints. To obtain the necessary conditions, which are in the form of a maximum principle, an implicit-function-type theorem in Banach spaces is derived.
Makowski, K.↗
New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities
An upper bound on the rate of a binary code as a function of minimum code distance (using a Hamming code metric) is arrived at from Delsarte-MacWilliams inequalities. The upper bound so found is asymptotically less than Levenshtein's bound, and a fortiori less than Elias' bound. Appendices review properties of Krawtchouk polynomials and Q-polynomials utilized in the rigorous proofs.
Mceliece, R. J.↗
Violation of Bell's inequalities in quantum optics
An optical field produced by intracavity four-wave mixing is shown to exhibit the following nonclassical features: photon antibunching, squeezing, and violation of Cauchy-Schwarz and Bell's inequalities. These intrinsic quantum mechanical effects are shown to be associated with the nonexistence of a positive normalizable Glauber-Sudarshan P function.
Reid, M. D.↗