Acta Polytechnica. 2018, vol. 58, no.2http://hdl.handle.net/10467/790872019-06-18T11:54:07Z2019-06-18T11:54:07ZŽAMPA’S SYSTEMS THEORY: A COMPREHENSIVE THEORY OF MEASUREMENT IN DYNAMIC SYSTEMSRychtáriková , RenataUrban , JanŠtys , Daliborhttp://hdl.handle.net/10467/791062018-12-04T14:37:36Z2018-01-01T00:00:00ZŽAMPA’S SYSTEMS THEORY: A COMPREHENSIVE THEORY OF MEASUREMENT IN DYNAMIC SYSTEMS
Rychtáriková , Renata; Urban , Jan; Štys , Dalibor
The article outlines in memoriam Prof. Pavel Žampa’s concepts of system theory which enable us to devise a measurement in dynamic systems independently of the particular system behaviour. From the point of view of Žampa’s theory, terms like system time, system attributes, system link, system element, input, output, sub-systems, and state variables are defined. In Conclusions, Žampa’s theory is discussed together with another mathematical approaches of qualitative dynamics known since the 19th century. In Appendices, we present applications of Žampa’s technical approach to measurement of complex dynamical (chemical and biological) systems at the Institute of Complex Systems, University of South Bohemia in České Budějovice.
2018-01-01T00:00:00ZQUASIEXACTLY SOLVABLE SCHRÖDINGER EQUATIONS SYMMETRIC POLYNOMIALS AND FUNCTIONAL BETHE ANSATZ METHODQuesne , Christianehttp://hdl.handle.net/10467/791052018-12-04T14:37:33Z2018-01-01T00:00:00ZQUASIEXACTLY SOLVABLE SCHRÖDINGER EQUATIONS SYMMETRIC POLYNOMIALS AND FUNCTIONAL BETHE ANSATZ METHOD
Quesne , Christiane
For applications to quasi-exactly solvable Schrödinger equations in quantum mechanics, we consider the general conditions that have to be satisfied by the coefficients of a second-order differential equation with at most k + 1 singular points in order that this equation has particular solutions that are nth-degree polynomials. In a first approach, we show that such conditions involve k - 2 integration constants, which satisfy a system of linear equations whose coefficients can be written in terms of elementary symmetric polynomials in the polynomial solution roots whenver such roots are all real and distinct. In a second approach, we consider the functional Bethe ansatz method in its most general form under the same assumption. Comparing the two approaches, we prove that the above-mentioned k - 2 integration constants can be expressed as linear combinations of monomial symmetric polynomials in the roots, associated with partitions into no more than two parts. We illustrate these results by considering a quasi-exactly solvable extension of the Mathews-Lakshmanan nonlinear oscillator corresponding to k = 4.
2018-01-01T00:00:00ZOPTIMALIZATION OF PHOTOREACTOR GEOMETRY FOR THE CULTIVATION OF CHLAMYDOMONAS REINHARDTIIFekete , RomanŽáková , TeréziaGabrišová , ĽudmilaKotora , PeterPeciar , PeterGahurová , DominikaSlaninová , Miroslavahttp://hdl.handle.net/10467/791042018-12-04T14:37:32Z2018-01-01T00:00:00ZOPTIMALIZATION OF PHOTOREACTOR GEOMETRY FOR THE CULTIVATION OF CHLAMYDOMONAS REINHARDTII
Fekete , Roman; Žáková , Terézia; Gabrišová , Ľudmila; Kotora , Peter; Peciar , Peter; Gahurová , Dominika; Slaninová , Miroslava
At the present time, a great attention is being paid to the use of algae. Algae can adapt to different conditions and can produce substances corresponding to responsible environments. The main problem in their cultivation is the design of a suitable photoreactor. It should create the optimal conditions for their growth, which is mainly dependent on the contact of the algae with the light. The intensity of the light depends on the hydrodynamic conditions in the photoreactor and on its geometry. This paper deals with the study of kinetics of growth and gross biomass yield of biomass in laboratory photobioreactors, respecting their geometrical similarity as a basis for a possible scale-up. An optimal ratio between biomass growth rate and its gross biomass yield as a function of the photoreactor geometry is searched. Chlamydomonas reinhardtii were used as the model organism.
2018-01-01T00:00:00ZESTIMATION OF THE LATERAL AERODYNAMIC COEFFICIENTS FOR SKYWALKER X8 FLYING WING FROM REAL FLIGHTTEST DATAMohammadi Farhadi , RahmanKortunov , VyacheslavMolchanov , AndriiSolianyk , Tatianahttp://hdl.handle.net/10467/791032018-12-04T14:37:29Z2018-01-01T00:00:00ZESTIMATION OF THE LATERAL AERODYNAMIC COEFFICIENTS FOR SKYWALKER X8 FLYING WING FROM REAL FLIGHTTEST DATA
Mohammadi Farhadi , Rahman; Kortunov , Vyacheslav; Molchanov , Andrii; Solianyk , Tatiana
Stability and control derivatives of Skywalker X8 flying wing from flight-test data are estimated by using the combination of the output error and least square methods in the presence of the wind. Data is collected from closed loop flight tests with a proportional-integral-derivative (PID) controller that caused data co-linearity problems for the identification of the unmanned aerial vehicle (UAV) dynamic system. The data co-linearity problem is solved with a biased estimation via priori information, parameter fixing and constrained optimization, which uses analytical values of aerodynamic parameters, the level of the identifiability and sensitivity of the measurement vector to the parameters. Estimated aerodynamic parameters are compared with the theoretically calculated coefficients of the UAV, moreover, the dynamic model is validated with additional flight-test data and small covariances of the estimated parameters.
2018-01-01T00:00:00Z