The optimal H2 model reduction is an important tool in studying dynamical systems of a large order and their numerical simulation. We formulate the reduction problem as a minimization problem over the Grassmann manifold. This allows us to develop a fast gradient flow algorithm suitable for large-scale optimal H2 model reduction problems. The proposed algorithm converges globally and the resulti...

To solve the problem of easily trapped into local optimization and instable calculation results, a new fine-adjustment mechanism-based particle swarm optimized algorithm applicable to solution seeking of VRP model is presented in this paper. This algorithm introduces the fine-adjustment mechanism so as to get adapt to the judgment base of function directional derivative value. By adjusting the ...

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...

barrel vaults are attractive space structures that cover large area without intermediate supports. in this paper, the charged search system (css) optimization algorithm is employed for optimal design of barrel vaults. this method utilizes the governing laws of coulomb and gauss from electrostatics and the newtonian law of mechanics. the results demonstrate the efficiency of the discrete css alg...

It is shown here that stability of the stochastic approximation algorithm is implied by the asymptotic stability of the origin for an associated ODE. This in turn implies convergence of the algorithm. Several specific classes of algorithms are considered as applications. It is found that the results provide (i) a simpler derivation of known results for reinforcement learning algorithms; (ii) a ...

We describe a dynamic programming algorithm for predicting optimal RNA secondary structure, including pseudoknots. The algorithm has a worst case complexity of O(N6) in time and O(N4) in storage. The description of the algorithm is complex, which led us to adopt a useful graphical representation (Feynman diagrams) borrowed from quantum field theory. We present an implementation of the algorithm...

This paper presents an improved Particle Swarm Optimization (PSO) algorithm for solving Transient Stability Constrained Optimal Power Flow (TSCOPF) problem through the application of Gaussian and Cauchy probability distributions. The modified PSO approach introduces new diversification and intensification strategy into the particles thus preventing PSO algorithm from premature convergence. The ...