In this paper, we study the classical sensitivity Analysis when the right - hand – side vector, and the coefficients of the objective function are allowed to vary

Non-cooperative intelligent control agents (ICAs) with dedicated cost functions, can lead the system to poor performance and in some cases, closed-loop instability. A robust solution to this challenge is to place the ICAs at the feedback Nash equilibrium point (FNEP) of the differential game between them. This paper introduces the designation of a robust decentralized infinite horizon LQR control system based on the FNEP for a Linear time-invariant system. For this purpose, two control strategies are defined. The first one is a centralized infinite horizon LQR (CIHLQR) problem (i.e. a supervisory problem), and the second one is a decentralized control problem (i.e. an infinite horizon Linear-quadratic differential game). Then, while examining the optimal solution of each of the above strategies on the performance of the other, the necessary and sufficient conditions for the equivalence of the two problems are presented. In the absence of the conditions, by using the least-squares error criterion, an approximated CIHLQR controller is presented. It is shown that the theorems could be extended from a two-agent control system to a multi-agent system. Finally, the results are evaluated using the simulation results of a Two-Area non-reheat power system.

Background and aim: According to the importance of avoiding injuries to the neurovascular bundles in certain surgical procedures (e.g. placement of implants), an accurate location of the mandibular is neccessary. The aim of the present study was to evaluate and compare between the accuracy of the panoramic spiral tomography in location of the mandibular canal.Methods and materials: In this study, by means of the odonto Rama 2000 (Traphy, French), panoramic radiographies were taken and by means of Cranex tome multifunctional unit (orion corporation Sordex, finland), tomographic slices were taken at 3 different location in each posterior mandible segments (distal to the mental foramen). Then the dry mandibles were sectiond at these 3 sites with specialized desiged drill. The fallowing 2 measurments were performed both on the panoramic radiographies (A, B), tomograms (A’, B’) and the bone sections (A’’, B”) at the 3 sites.Findings: The research was on 6 dry mandibles (36 sites). We found an average mean difference of 3.9 mm with a standard deviation of 1.57 in panoramic radiography and an average mean differences of 0.21mm with a standard deviation of 0.21 in spiral tomography. The report of data showed that 16.4% of cases are in+_0.5mm and 41.4% of cases are in+_1mm (overstimate and underestimate) in panoramic radiography and 94.6% of cases are in+_0.5mm and 97.3% of cases are in+_1mm in spiral tomography. ICC in panoramic radiography was 0.6932 and in spiral tomography was 0.9982 (P<0.001) Conclusion and recommendation: Spiral tomography using the Cranex tome multifunctional x-ray unit provides accurate information and sufficient detailes or preoperative planning of implant in the posterior mandible and this method is recommended for surgures, periodontists and prosthodontists.

In this paper using the eigenvalues and eigenvectors of symmetric and asymmetric of tridiagonal matrices with infinite dimension, inverse of these matrices are found. Moreover numerical method of finite difference is used for numerical modeling of engineering problems. Many engineering problems modeled by numerical methods result in solution of Linear systems. Many of these Linear systems are in tri-diagonal form. The inverse of this kinds of matrices have many applications. In this paper, response of Linear and nonLinear structures resulting from different types of arbitrary dynamics and statics analyses are presented. The method of this paper provides closed form solutions for the Analysis of structures under different static and seismic loadings.

Using Fourier Analysis in periodic mediums such as crystals is a suitable method for identifying size and type of crystal modes. By applying this procedure, one can find the effect of external exerted fields on single mode and multiple modes. Using this method, one can change calculation from dimensional space to wave number spaces to study non-Linear effects easily such as Kerr effect. The results of interaction between external field and medium on output of system will be in form of scaling modes of exciting source.   Also dispersion effects cause modes with small altitude.

Purpose: The flourishing of political parties and currents is one of the signs of the degree of development in societies. In contemporary Iran and since the formation of the constitutional movement, political currents have gone through many ups and downs and it can be said that political currents in Iran after the Islamic Revolution have not yet reached the stage of institutionalization and stability. A characteristic feature of political currents in Iran is the divergence and division among political currents in recent decades, and this can be one of the reasons for the instability and cross-sectional and seasonal activity of political parties in Iran. Therefore, the necessity of leading research seeks to answer the question of how factors and divergence among political currents in Iran after the victory of the Islamic Revolution can be analyzed? And what are the scenarios for the advancement of political currents in Iran?Method: To answer this question, the method of causal-layer Analysis, which is one of the qualitative methods in futures research, has been used.Findings: The research findings indicate that this divergence is due to a wide range of reasons from the level of causal systems (from the institutionalization of power to the formation of parties as elitist initiatives), worldview and discourse (from charismatic political authority to culture). Subsidiary-follower politics to myth-metaphor (Iranian individualism to belief in a strong state-weak society) can be analyzed.Conclusions: Three scenarios for the future of Iranian political currents can be considered: integration of currents as the security valve of the political system, the collapse of political currents in the traditional form, integration and consolidation in new social movements (virtualized parties).