Background and Aim: In clinical practice it is commonly assumed that occlusal splints have therapeutic value in the treatment of temporomandibular disorders (TMD), however there is still lack of sufficient evidence to support this claim. The purpose of this double-blind study was to evaluate the short-term (8-week) efficacy of a STABILIZATION splint in subjects with temporomandibular disorders seeking treatment.Materials and Methods: Seventeen TMD patients were treated with STABILIZATION splints for eight weeks. In addition to filling out questionnaires, all patients underwent a preoperative and postoperative clinical-functional investigation of the masticatory system. Qualitative data were analyzed using Fisher exact and Chi-square tests and Wilcoxon signed ranks test was applied to report quantitative data.Results: A statistically significant decrease was observed postoperatively in the Helkimo clinical dysfunction index (P=0.000) as well as the anamnestic dysfunction index (P=0.020). In addition there was a statistically significant decrease in muscle tenderness, after treatment (P=.002).Conclusion: The results of this study indicate that the use of a STABILIZATION splint is beneficial in treatment of the signs and symptoms of TMD, and especially has a positive effect on muscle tenderness.

In this paper, we deal with the global practical exponential STABILIZATION of a class of perturbed Takagi-Sugeno fuzzy control systems. The terms of perturbations are supposed uniformly  bounded by some known  functions and in certain cases not necessarily smooth. We prove that the solution of the closed-loop system with a linear fuzzy controller convergeto  a neighborhood of the origin. We use common quadratic Lyapunov function  and parallel distributed compensation controller techniques to study the asymptotic behavior of the solutions of fuzzy system. Numerical simulations are given to validate the proposed approach.

The paper addresses the problem of attitude STABILIZATION of an artificial Earth satellite with the aid of an electrodynamic control system. Our objective is to stabilize the satellite in a special coordinate system, whose axes are directed along the Lorentz force vector and the geomagnetic induction vector. Thus, natural magneto-VELOCITY coordinate system (NMVCS) is used. We consider the general case of the satellite mass distribution. Therefore, the disturbing action of the gravitation torque is taken into account. The satellite moves along a circular near-Earth orbit. The NONLINEAR stability analysis based on the Lyapunov direct method is applied in the paper. The proposed approach gives us admissible domains of control parameters for which attitude STABILIZATION in NMVCS is guaranteed without restrictions on the Earth’s magnetic field model. STABILIZATION conditions are formulated in the form of explicit inequalities for the control parameters. As a result, a control strategy for the satellite attitude STABILIZATION in the NMVCS is elaborated.

In this paper, the problem of simultaneous STABILIZATION of a collection of NONLINEAR systems is proposed by using the Takagi-Sugeno (TS) fuzzy modeling and synthesis approach. In practice, due to the uncertainty in the system model, failure modes, or different operating points, we often encounter the problem of simultaneous STABILIZATION. The TS fuzzy model has been considered for the controller design of complex NONLINEAR systems as it provides a simple and effective concept. This problem refers to the STABILIZATION of some NONLINEAR systems by utilizing a single NONLINEAR controller. Both state feedback and output feedback controllers are designed based on the PDC concept and by solving some linear matrix inequalities (LMIs). Moreover, to reduce the conservatisms related to using the common Lyapunov function and restrictive equality conditions in the design method, Finsler’s lemma has been employed. Finally, three numerical examples are provided to show that the proposed controllers stabilize well-considered NONLINEAR systems.

This research aims to investigate the STABILIZATION of highly NONLINEAR hybrid stochastic differential delay equations (HSDDEs) with L\'evy noise by delay feedback control. The coefficients of these systems satisfy a more general polynomial growth condition instead of classical linear growth condition. Precisely, an appropriate Lyapunov functional is constructed to analyze the STABILIZATION of such systems in the sense of $H_{\infty}$-stability and asymptotic stability. The theoretical analysis indicates that the delay can affect the stability of highly NONLINEAR hybrid stochastic systems.

In this paper, STABILIZATION conditions and controller design for a class of NONLINEAR systems are proposed. The proposed method is based on the NONLINEAR feedback, quadratic Lyapunov function and heuristic slack matrices definition. These slack matrices in null products are derived using the properties of the system dynamics. Based on the Lyapunov stability theorem and Sum of Squares (SOS) decomposition techniques, the conditions are derived in terms of SOS. This approach has two main advantages. First, using the polynomial model, the proposed method uses the polynomial state space matrices in the model description. Therefore, it does not need any existing modeling methods such as the Takagi Sugeno (T-S) fuzzy model which can be a source of conservativeness in the control design conditions, because the membership function information cannot be used completely in the derivation of the controller design conditions. Second, using slack matrices, one can find the matrices that leads to applicable controller design which this means it provides extra degrees of freedom. To show the effectiveness of the proposed method, a PMSM is considered in the numerical simulation.