121946651
Homotopy groups with coefficients and a generalization of Dold-thom's isomorphism theorem, I
121149837
A Theorem on Weak Homotopy Equivalences
116940747
A generalization of Dold-Thom's isomorphism theorem for the homotopy groups with coefficients.
118014139
Non-immersion theorems for lens spaces. II
121539902
Branching processes in the presence of random immigration and representations for time series
The statistics of branching processes of particles in a multiplicative medium are developed by taking account of a random non-stationary particle immigration. The probability distribution functions of the number of particles found in the medium at any fixed time and/or of particles counted in a time interval are given in closed form. Also given are conditional probabilities, conditioned on having a fixed number of particles at time t=0. These are applied to the case that exactly two particles are produced by branching.
116446833
Design of Servomechanism for Distributed Parameter Systems
Abstract In this paper a servomechanism problem is investigated for a distributed parameter system of parabolic type. The servomechanism problem considered here is to design a feedback control system such that the controlled output will tend to a desired constant reference vector as t→∞. Under some assumptions with respect to a control operator and an output operator we present the sufficient conditions for the existence of a feedback controller which stabilizes and regulates the system. From a practical and applicable point of view, a design procedure of a servomechanism is presented which can be realized by "finite dimensional" theories and techniques for "infinite dimensional" systems. In the design procedure it is necessary to construct a finite dimensional state observer in order to estimate the system state from measurements.