A canonical controller (cf. van der Schaft [2002]), which was proposed by van der Schaft, is a controller yielding a given specification with a plant behavior. In this paper, for a given data of a plant and a specification, we provide a synthesis of linear canonical controllers without using mathematical models of a plant. A desired canonical controller can be obtained by solving linear algebra...

mathematical simulation of flow toward drains is an important and indispensable stage in drainage design and management. many related models have been developed, but most of them simulate the saturated flow toward drains without a due consideration of the unsaturated zone. in this study, the two dimensional differential equation governing saturated and unsaturated flow in porous media is numeri...

Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at free surface inviscid fluid. It shown that there momentum density associated equation, and difference between this physical derived in context full Euler equations can be estimated terms long-wave parameter.

Unfortunately the computation is time-and memory intensive. Mathematical knowledge is used to optimize the algorithms. Computer science provides another possibility to increase the computations: parallelization 2 / 24 Motivation Gröbner bases are used, to solve polynomial equation systems, move robotics, verify programs,. .. Unfortunately the computation is time-and memory intensive. Mathematic...

The Budyko equation has achieved iconic status in hydrology for its concise and accurate representation of the relationship between annual evapotranspiration and long-term-average water and energy balance at catchment scales. Accelerating anthropogenic land-use and climate change have sparked a renewed interest in predictive applications of the Budyko equation to analyze future scenarios import...

In this work, the problem of Rayleigh wave propagation is considered in the context of the theory of thermoelastic diffusion. The formulation is applied to a homogeneous isotropic thermoelastic half space with mass diffusion at the stress free, isothermal, isoconcentrated boundary. Using the potential functions and harmonic wave solution, three coupled dilatational waves and a shear wave is obt...

mathematical models can simulate the growth and proliferation of cells in the interaction with healthy cells, the immune system and measure the toxicity of drug and its effects on healthy tissue pay. one of the main goals of modeling the structure and growth of cancer cells is to find a control model suitable for administration among patients. in this study, a new mathematical model is designed...

the immiscible displacement of oil by water through a porous and permeable reservoir rock can be described by the use of a fractional flow curves (fw versus sw). water flooding project parameters can be obtained from the fractional flow curve. however, developing a representative fractional flow curve for a specific reservoir can be quite challenging when fluid and special core analysis data is...