In this paper the author defines the concept of controllability for the linear system with delay and gives the conditions for controllability both for the unconstrained input system and for the constrained input system. The obtained results for the constrained input system are very general and involve, as the special case, the system described by ordinary differential equations.

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To maintain a vary precisely controlled state for a long period of time, drift of the primary means must very carefully be compensated. A sampled data control system with finite pulse width can advantageously be utilized in such control system as stated in the title, using a PI controller. The sampling period T must be taken as small as possible within the required limit of the length. However, if drift of the primary detecting means contains considerable amount of high frequency components, T must not take a value near the period of such frequen cy components. It is proper for selecting such pulse width h that the ratio h/T takes the value in the range from 0.4 to 0.6.

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It is known that jump resonance may occur in a nonlinear control system if the vector locus of linear part passes through a certain region which depends upon nonlinear part. This paper concerns with further investigations on the boundary curves of such regions. The authors consider the case of complex describing function which has not yet been treated. By normalizing the nonlinear characteristics, it is shown that there exists a limit boundary curve for nonlinear elements which satisfy certain conditions and that boundary curves of each nonlinear elements can easily be drawn on the inverse-vector-locus plane. For the analysis and synthesis based on the frequency response method, boundary curves redrawn on the gain-phase plane are also given.
The results obtained will conveniently be available as jump resonance critetia of nonlinear control systems. Some applications of them are also indicated.

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Many metheds have been already developed and studied for the optimizing control which constantly keeps the optimum conditions of the controlled object in a static sense. But most of them treat the cases where the controlled systems have a few variables and they are in small scale.
In this paper, a large-scale process with relatively many variables and some interferences among variables are considered. The usual decomposition principle is modified, then the algorithm to solve the problem is explained. The method to simplify the procedure of calculation is also described. In addition, some examples are given to show the typical movement of solution. Finally, some characteristics of this method are illustrated.

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Discussed in this paper is a two-dimensional autocorrelation function as a means of treating tow-dimensional signals. Autocorrelation functions of various patterns are measured and their interesting properties are pointed out. One of them is the following: when a pattern has straight lines in it and none of them are parallel with each other, the same number of straight lines as the original ones appear in the correlation plane parallel to the original straight lines and passing through the origin of the plane. By using this property, it is possible to detect the presence of straight lines and their relative orientation in the pattern by means of a photoelectric device. An analogue correlation method is also proposed to classify these detected signals.

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This paper is concerned with a method to measure the liquid level by purging a liquid through a system of capillary tubes.
For a steady and laminar flow of a liquid through a capillary tube, the ratio of pressure drops of two parts of the tube is determined by the geometrical dimensions of both parts.
This fact enables us to know the pressure at one end of a capillary tube in a liquid by the pressure measurement at two points of the tube. When the pressure of the liquid at a point and the density of the liquid are known, the depth of the point from the level can be obtained. This is the principle of method of measurement of liquid level by liquid purge.
Results of some experiments agree fairly well with the directly measured liquid levels.

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This paper deals with self oscillations in on-off control systems including a process with dead time. Unique properties of the systems with feedback compensation are pointed out, and analyzed by Tsypkin's method.
First, self oscillation of uncompensated on-off control systems including a higher order process are analyzed in detail, and effect of process parameter variation on the oscillation period and amplitude are investigated.
Then, oscillation modes of control systems without compensation or with series compensation are investigated and it is shown that these systems can't have more than one oscillation mode.
In the case of systems with feedback compensation, self oscillation can have many modes and there exist jumping phenomena among these oscillation modes. Effect of disturbance and gradual change of system parameters on these phenomena are clarified.
Finally, stability of limit cycles in above systems are described.

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A corrugated metal diaphragm is one of the most important elements for sensing pressure or differential pressure. Despite of a great deal of researches about the characteristics of pressureforce-displacement of diaphragms, any remarkable one has never yet been found to clarify the principle of forming a diaphragm in the manufacturing process.
The cause of cracks or wrinkles occured in the process of diaphragm forming will be made clear and also the optimum conditions of treatment will be shown in this paper. It is generally difficult to calculate the elongation on each part of the diaphragm except triangular wave diaphragm. A triangular wave diaphragm, as shown in Fig. 1, is formed with a piece of cone in bending process without any others. The cold working reduction of bending process is so little that the treatment is mainly done while the flat blank is being put into a cone.
Circular elongation ε_c(γ) and radial elongation ε_r(γ) are concerned with the inclination angle θ of the wave, the inside-to-outside radiuses ratio ρ (See Table 1) and the forming conditions. ε_c(γ) comes to maximum on the inside edge if the cone is formed in the situation of its outside edge fixed and its inside free. If the maximum elongation ε_cm exceeds the allowable elongation limit of the material, the diaphragm is radially broken. Table 1 shows the maximum elongation ε_cm.
In the situation of its inside edge fixed and outside free, ε_c(γ) comes to negative value and some creases radially come on the outside part of the diaphragm. In the state of the both inside and outside edges, freee, as shown in Table 2, ε_c(γ) is reduced to zero when γ=ρ₀R. In the situation of the both fixed, as shown in Table 3, the material is mainly elongated into the direction of radius.

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Spool type valve, which is the selector valve with three ports connection and two position, is considered one of fluid logic elements. This fluid logic element is a “conditioned disjunction” logic element for which the Boolean expression is X=(A∧C)∨(B∧C)=(ABC). The “conditioned disjunction” is one of universal decision elements. The main objective of this paper is to present a technique which can be used to synthesize directly a n-variable logic function by the fluid logic element. When a n-variable logic function is given in the truth table, the paper describes how to obtain an expression including “conditioned disjunction” logic operations only. The paper also discusses how to derived by the technique simplified circuits of such basic memory elements as flip-flop and registers.

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The aim of measurement is to obtain quantitative knowledge about properties of things or of fields. The knowledge is evaluated from the viewpoint of information theory. The average amount of information obtained by taking readings of an analog measuring instrument is calculated as the difference of the a-priori entropy and a-posteriori one both of which are functions of the scale interval of the indicating instrument and the standard deviation of the measurement system. The average amount of information does not increase unlimitedly but tends to a finite value as the scale interval is diminished, unless the standard deviation of the system is zero.
In a duplicate measurement, the average amount of information obtained from the second reading is far smaller than that obtained from the first reading, but the total average amount of information is shown equal to that obtained by a single measurement with a system the standard deviation of which is √2 times as small.

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In this paper, a study for a general theory of inhomogeneity errors of thermocouples, and its application to hysteresis errors of Pt versus Pt-Rh 10% thermocouples, ase mentioned. In general, the inhomogeneity error of thermocouples can be calculated easily with the aid of Fourier transform, if the variation of the thermoelectric power caused by inhomogeneity is represented by a simple function of the temperature, and if the temperature gradient used for the measurement of inhomogeneity is represented by a particular function, for instance by exponential curve. This theory is applied to the hysteresis errors of Pt versus Pt-Ph 10% thermocouples at the silver point, and the errors are estimated by calculation with the accuracy of the order of 0.5μV.

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