This paper is concerned with the development of a new approach for the numerical
solution of linear and nonlinear reaction-diffusion equations in two spatial
dimensions with Bitsadze-Samarskii type nonlocal boundary conditions. Proper
finite-difference approximations are utilized to discretize the time variable.
Then, the weak equations of resultant elliptic type PDEs are constructed on
local subd... hiện toàn bộ
Necessary and sufficient time- and frequency-domain conditions are obtained that
find robust control laws minimizing a quadratic functional with a positive
semidefinite state weighting matrix dependent on unknown parameters. The
deterioration of transient performance due to uncertainty is estimated.
We propose an approach to the construction of approximations of kinetic
equations of a lattice gas in the context of cluster approaches, taking account
of the detail balance relations. This approach is applied to construct
approximations for a one-component lattice gas on a homogeneous one-dimensional
lattice, in which it is shown that in the absence of migration the additional
requirement of uniq... hiện toàn bộ
We consider a terminal control problem for an underactuated nonlinear control
system with phase constraints. The control is sought by the linearization method
in which the control is determined by solving the Cauchy problem for a nonlinear
parametric system of auxiliary differential equations. An auxiliary extremum
problem with boundary conditions of general type is proposed for the numerical
calc... hiện toàn bộ
The probability function of a generalized Poisson distribution is written in
terms of modified Hermite polynomials of 2nd kind in many variables. Their
relationship is established with special polynomials previously derived for this
purpose. The properties of the polynomials and the probability function are
studied.
An efficient robust inversion algorithm is proposed, which generates asymptotic
estimates of the input signal from noisy output observations with uncertainty in
the system parameters.
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