Power system stabilizers have been widely used and successfully implemented for the improvement of power system damping. However, a fixed parameter power system stabilizer tends to be sensitive to variations in generator dynamics so that, for operating conditions away from those used for design, the effectiveness of the stabilizer can be greatly impaired. With the advent of microprocessor techn...

Currently, reset control focuses on using structures which allow new resetting rules in order to avoid limit cycle to be caused and improve the performance of the system. This paper investigates the properties of some reset strategies, of integer and fractional order, which reset controller states to fixed or variable non-zero values and are able to eliminate or reduce the overshoot in first an...

This paper presents a novel intelligent multiple-controller framework incorporating a fuzzy-logic-based switching and tuning supervisor along with a generalised learning model (GLM) for an autonomous cruise control application. The proposed methodology combines the benefits of a conventional proportional-integral-derivative (PID) controller, and a PID structure-based (simultaneous) zero and pol...

In the present paper, we show the existence of a coupled fixed point for a non-decreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function φ. We also define the concept of weakly related mappings on an ordered space. Moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space.

*Correspondence: [email protected] 1Departamento de Análise Matemática, Estatística e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, 15782, Spain Full list of author information is available at the end of the article Abstract We present the random version in partially ordered metric spaces of the classical Banach contraction prin...

In our day to day life, increasing the number of vehicles like motorcycle, car, bus, van and truck etc. very rapidly. As a result outcome of traffic blocking and enormous problems in metro cities. Due to traffic jamming problem some large issues are found such as pollution, wastage of time, fuel, and accidents. Traffic jamming arises terribly often time switch in the contemporary world that has...

Recently, Ott, Grebogi and Yorke (OGY) [6] found an effective method to control chaotic systems to unstable fixed points by using only small control forces; however, OGY's method is based on and limited to a linear theory and requires considerable knowledge of the dynamics of the system to be controlled. In this paper we use two radial basis function networks: one as a model of an unknown plant...

In this paper, we apply fixed point results for mappings in partially ordered function spaces to derive existence results for initial and boundary value problems in an ordered Banach space E. Throughout this paper, we assume that E satisfies one of the following hypotheses. (A) E is a Banach lattice whose every norm-bounded and increasing sequence is strongly convergent. (B) E is a reflexive la...

In [], Choudhury proved that if X is a complete metric space, then every weak C-contraction has a unique fixed point; see [, Theorem .]. This result was generalized to a complete, partially ordered metric space in []; see [, Theorems ., . and .]. There were some generalizations of a metric such as a -metric, aD-metric, aG-metric, a conemetric, and a complex-valuedmetric. The notion...