منابع مشابه
Laguerre population processes
We analyse a number of stochastic processes that give rise to first-order number statistics governed by Laguerre distributions with properties that lie between Poisson and geometric random variables. These distributions have hitherto been used to characterize the photon statistics of a coherent mixture of thermal and laser light. Here, we explore a number of discrete population processes that c...
متن کاملOn The Traces Of Laguerre Processes
Almost sure and L-convergence of the traces of Laguerre processes to the family of dilations of the standard free Poisson distribution are established. We also prove that the fluctuations around the limiting process, converge weakly to a continuous centered Gaussian process. The almost sure convergence on compact time intervals of the largest and smallest eigenvalues processes is also established.
متن کاملControlling Nonlinear Processes, using Laguerre Functions Based Adaptive Model Predictive Control (AMPC) Algorithm
Laguerre function has many advantages such as good approximation capability for different systems, low computational complexity and the facility of on-line parameter identification. Therefore, it is widely adopted for complex industrial process control. In this work, Laguerre function based adaptive model predictive control algorithm (AMPC) was implemented to control continuous stirred tank rea...
متن کاملHermite and Laguerre Polynomials and Matrix- Valued Stochastic Processes
Abstract We extend to matrix-valued stochastic processes, some well-known relations between realvalued diffusions and classical orthogonal polynomials, along with some recent results about Lévy processes and martingale polynomials. In particular, joint semigroup densities of the eigenvalue processes of the generalized matrix-valued Ornstein-Uhlenbeck and squared OrnsteinUhlenbeck processes are ...
متن کاملcontrolling nonlinear processes, using laguerre functions based adaptive model predictive control (ampc) algorithm
laguerre function has many advantages such as good approximation capability for different systems, low computational complexity and the facility of on-line parameter identification. therefore, it is widely adopted for complex industrial process control. in this work, laguerre function based adaptive model predictive control algorithm (ampc) was implemented to control continuous stirred tank rea...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2012
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2011.0557