Zvarydchuk V. Regularization and pseudoinverse methods in modeling problems of linear dynamic distributed-parameters systems

This dissertation covers problems of mathematical modeling of linear stationary systems with distributed parameters described by incomplete differential models with characteristics accessible for observation. A method to construct integral models of the above-mentioned systems is offered here. Identification problems of integral models kernels of distributed dynamic systems are also solved. The cases where observations were made both with high degree of precision and with definite approximation are considered in this work. Direct and iterative algorithms of state mathematical modeling and control of distributed parameters systems are built. The exactness estimations of such modeling are made. The offered technique has been applied to the problems of state modeling of water filtration process in porous-resilient water-filled ground layers with complicated heterogeneous structures with a surface burdens.