We propose and analyse an interior point path-following method in function space for state constrained optimal control. Our emphasis is on proving convergence in function space and on constructing a practical path-following algorithm. In particular, the introduction of a pointwise damping step leads to a very efficient method, as verified by numerical experiments. AMS MSC 2000: 90C51, 49M05

We study the relation between PageRank and other parameters of information networks such as in-degree, out-degree, and the fraction of dangling nodes. We model this relation through a stochastic equation inspired by the original definition of PageRank. Further, we use the theory of regular variation to prove that PageRank and in-degree follow power laws with the same exponent. The difference be...

We present a four-body semileptonic charm decay D → Kπμν analysis in the range of 0.65 GeV/c < mKπ < 1.5 GeV/c . We observe a low mass scalar contribution of 5.30 ± 0.74 0.99 − 0.96% with respect to the total D →Kπμν decay, compatible with the phase shift found by the LASS elastic scattering experiment. For the K(892) resonance, we obtain a mass of 895.41 ± 0.32 − 0.43 MeV/c , a width of 47.79 ...

in this paper, the unified power flow controller (upfc) is enhanced with a chaotic particle swarm optimization (cpso) damping controller in order to mitigate the low frequency oscillations (lfo) in a single machine infinite bus (smib) power system. the designed damping controller is an optimized lead-lag controller, which extracts the speed deviation of the generator rotor and generates the out...

This project presents a new addon self tuning control scheme to supplement its conventional PI control system in damping low frequency inter area power oscillations. Low frequency (0.1 to 0.8 Hz) inter-area oscillations are often observed when power systems interconnected through weak tie lines are subjected to disturbances such as faults, line outages and sudden load changes. Power System stab...

This paper studies the solution behavior of a system of two coupled elastic beams connected vertically by springs. With the viscous damping collocated with the ends of the springs, the system energy decays exponentially. Our goal is to find the optimal spring-damper location which yields the best energy decay rate of the beam-spring system.

Power system stability enhancement via excitation and FACTS-based stabilizers is thoroughly investigated in this paper. This study presents a singular value decomposition–based approach to assess and measure the controllability of the poorly damped electromechanical modes by different control inputs. The design problem of a power system stabilizer and different FACTS-based stabilizers is formul...

We propose an effective method to design a modified particle swarm optimization MPSO singularity control method for a fully parallel robot manipulator. By adopting MPSO to obtain simple and effective estimated damping values, the result automatically adjusts the damping value around a singular point and greatly improves the accuracy of system responses. This method works by damping acceleration...

A novel approach based θ-Particle Swarm Optimization (θ-PSO) is proposed for optimal selection of the output feedback damping controller parameters for unified power flow controller (UPFC) in order to improve the damping of power system oscillations. The selection of the output feedback gains for the damping controllers is converted to an optimization problem with the time domain-based objectiv...

Semi-active base isolation system has been proposed mainly to mitigate the base drift of isolated structures while in most cases, its application causes the maximum acceleration of superstructure to be increased. In this paper, designing optimal semi-active base isolation system composed of linear base isolation system with low damping and magneto-rheological (MR) damper has been studied for co...