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Pontryagin functions for multiple integral control problems

Journal of Optimization Theory and Applications, 1976
An optimal control problem is considered whose performance index is represented by anm-fold multiple integral, the state equations being given by a system of first-order partial differential equations. The concept of a field of optimal control variables with respect to an independent integral is introduced, the significance of these fields being due to
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Integrals associated with the multiple gamma function

Integral Transforms and Special Functions, 2014
The multiple gamma function Γn(z), defined by a recurrence-functional equation as a generalization of the Euler gamma function, is used in many applications of pure and applied mathematics, and theoretical physics. The theory of the multiple gamma function has been related to certain spectral functions in mathematical physics, to the study of ...
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Coupling Functions, Integral Multiplicities, and Inverse Transformations

2004
The intensity of any CR component of type (e.g. total neutron counting rate and different neutron multiplicities, muon component on the ground and underground at different depths and different directions, electron-photon component, frequency of External Atmospheric Showers (EAS), and others), observed at cut off rigidity R c (t) at the level h o (t) in
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THE ANALYTIC STRUCTURE OF FUNCTIONS DEFINED BY MULTIPLE INTEGRALS

Canadian Journal of Physics, 1963
Modes of analytic continuation of scattering amplitudes are studied. Some features of paths, connecting regions where the amplitudes are mathematically well defined to ones of physical interest, and which lie on the Landau curves, are described.
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Multiquadric quasi-interpolation for integral functionals

Mathematics and Computers in Simulation, 2020
Wenwu Gao, Xuan Zhou
exaly  

Stability Analysis for Time-Varying Systems With Delay Using Linear Lyapunov Functionals and a Positive Systems Approach

IEEE Transactions on Automatic Control, 2016
Frédéric Mazenc, Michael Malisoff
exaly  

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