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This paper investigates the minimum variance unbiased estimation (MVUE) of the reliability function R = P(Y < X) under the assumption that, both, the strength X and the stress Y are independent Gamma random variables. An approximate one- and two-sided confidence intervals for R is obtained. Some numerical results are evaluated for particular sample sizes. Also the MVUE results of this paper are...
Recently, a new class of linear continuous-discrete 2D dynamical systems i.e., dynamical systems described by the indexed set of linear ordinary differential equations with appropriate initial and boundary conditions has been introduced. However, it should be mentioned that only a few papers deal with the 2D continuous-discrete linear dynamical systems with delays. In linear 2D continuous-discrete...
Crystallographic texture is the only factor essentially influencing plastic anisotropy in annealed pure metals and single phase alloys. Therefore, the extreme states of anisotropy can be defined using the quantitatively evaluated texture. The macroisotropy condition in polycrystalline metals constitutes a limit which can be approached when diminishing the sharpness of texture. On the other hand perfect...
This paper deals with the Nevanlinna-Pick interpolation problem when the interpolation conditions for derivatives are given. The appropriate Nevanlinna-Pick matrix is defined and it is shown that this matrix is non-negative definite. Assuming positive definite character of the Nevanlinna-Pick matrix, the procedure for finding a bounded real matrix which together with its derivatives takes on prescribed...
In the paper the predictive control with the moved and fixed control horizon and the given terminal state is considered. It is shown that the predictive controller realizes the target state in the presence of a small process disturbance.
The inductance of on-chip interconnections is usually neglected in simulation of CMOS circuits behaviour. This assumption becomes not valid for modern technologies with higher frequency and greater parasitic RLC parameters of interconnections. This paper describes briefly the model of interconnection and presents the method for R, L parameter calculating in the range of frequency suitable for VLSI...
A modification of the Brody-Flemings model for microsegregation is worked out to describe a solute redistribution for oriented cells and dendrites. An improved equation for the liquid concentration is introduced into the presented model. The solute redistribution satisfies mass balance at each stage of directional growth of binary alloys. The back-diffusion into the solid is also included to analysis...
It is shown that any rational improper 2D matrix can be realised by a singular 2D first Fornasini-Marchesini model. A procedure for computation of a realisation being a singular 2D general model for any given rational improper 2D matrix is presented.
Plastic anisotropy of materials can be calculated from the tensile test data following two ways: (1) by the analysis of the strain ratio [gamma] vs elongation [epsilon] relationship, or (2) by relating partial strains (epsilon w and epsilon t) due to width and thickness strains to the total elongation [epsilon]. It has been shown that when based on hyperbolic description of the funkcja(epsilon) relationship,...
The series of three papers is concerned with macroscopic modelling of elastic perfectly locking materials with a microstructure. In Part I basic relations were formulated for such a body with an eY-periodic microstructure. Both displacement and stress approaches were discussed. The role of relaxation of the traction boundary condition was revealed. The locking limit analysis problem was also formulated.
Current-mode digital circuits operating with constant, continuous power supply current are presented. Layout of introduced gate and static, classical voltage inverter layout are shown for comparison. SPICE simulations based on extracted parameters of these gates are presented. The elementary operations that form current mode gate basis and elementary logical operations in this basis have been described...
The paper deals with the numerical modelling of the unsteady temperature fields in the elements of technological systems using data subject to errors. The multistagemultigroup approach to numerical modelling of transient temperature fields is suggested. The internal structure of the matrix of coefficients of the set of constraint equations has been analyzed and simplifications in the adjustment procedure...
The main features of the Class-D Zero-Voltage-Switching (ZVS) tuned power amplifier are its high efficiency and high power-output capability. In the paper the operation principle of the Class-D ZVS amplifier are discussed. The simplified analysis assuming the sinusoidal current in the output series-resonant circuit is presented and the equations describing the amplifier operation in the optimum and...
We investigate in this paper long-term (steady-state) behaviour observed in arrays of discretely-coupled third-order chaotic cells. Using computer experiments we confirmed existence of an abundance of stable final states depending only on the initial conditions applied in the individual cells. After long seemingly chaotic transients solutions of individual cells settle in a periodic mode and the array...
The simple algebraic transformations using the approximation of transfer function by K( s) =[sigma]p kp exp( -stp) or the approximation of convolution by: [formula] enable the creation of models of dynamics in the form of first-order (linear) differential equations with deviated arguments. The suitable calculation methods with regard to possible additional postulates connected with the design of simplified...
This paper presents an approach to [sigma delta] modulators relying on current mode sampled data circuits with switched transconductances. The [sigma delta] modulator structures are composed of current mode building blocks with transconductance amplifiers and capacitors. All building blocks and three different [sigma delta] structures: first-order, second-order and third-order two-stage are designed...
Positive singular discrete linear time-invariant systems are considered. Some properties of the fundamental matrix and solutions of the positive singular discrete linear systems are characterised. Two new methods for computation of the fundamental matrices are proposed. Necessary and sufficient conditions are established for the reachability of the positive singular systems. Sufficient conditions...
The paper shows that orthogonal structures with rotators can be used for implementation of an all-pass transformation to obtain a transfer function of 3-D digital filter based on I-D digital prototype. Example of implementation of a 3-D filter as a low-pass spherically symmetric orthogonal filter is presented.
The paper introduces a unified method for fault diagnosis in analog dynamic systems of different physical nature (e.g. electronic, mechanical, power, hydraulic). The method also handles mixed systems composed of multi-phenomena blocks. Applicability of the diagnosis algorithm, originally designed for analog electronic circuits, is extended. As a test example the fourth order servomechanism is discussed...
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