B Abstract. Complex pursuit-evasion games with state variable inequality constraints are investigated. Necessary conditions of the rst and the second order for optimal trajectories are developed, which enable the calculation of optimal open-loop strategies. The necessary conditions on singular surfaces induced by state constraints and nonsmooth data are discussed in detail. These conditions lea...

Periodic solutions of the Hamilton-Jacobi equation determine invariant tori in phase space. The Fourier spectrum of a torus with respect to angular coordinates gives useful information about nonlinear resonances and their potential for causing instabilities. We describe a method to solve the Hamilton-Jacobi equation for an arbitrary accelerator lattice. The method works with Fourier modes of th...

The Lie-Group Shooting Method for Quasi-Boundary Regularization of Backward Heat Conduction Problems Chih-Wen Chang1, Chein-Shan Liu2 and Jiang-Ren Chang1 Summary By using a quasi-boundary regularization we can formulate a two-point boundary value problem of the backward heat conduction equation. The ill-posed problem is analyzed by using the semi-discretization numerical schemes. Then, the res...

Klassen et al. [9] recently developed a theoretical formulation to model shape dissimilarities by means of geodesics on appropriate spaces. They used the local geometry of an infinite dimensional manifold to measure the distance dist(A,B) between two given shapes A and B. A key limitation of their approach is that the computation of distances developed in the above work is inherently unstable, ...

In this paper, we present a general iterative method for the solution of the Riemann problem for hyperbolic systems of PDEs. The method is based on the multiple shooting method for free boundary value problems. We demonstrate the method by solving one-dimensional Riemann problems for hyperelastic solid mechanics. Even for conditions representative of routine laboratory conditions and military b...

This paper presents a new design of open parallel microchannels embedded within a permeable continuous moving surface due to reduction of exergy losses in magnetohydrodynamic (MHD) flow at a prescribed surface temperature (PST). The entropy generation number is formulated by an integral of the local rate of entropy generation along the width of the surface based on an equal number of microchann...

Asymptotic formulas, as ε → 0, are derived for the solutions of the nonlinear differential equation εu+Q(u) = 0 with boundary conditions u(−1) = u(1) = 0 or u′(−1) = u(1) = 0. The nonlinear term Q(u) behaves like a cubic; it vanishes at s−, 0, s+ and nowhere else in [s−, s+], where s− < 0 < s+. Furthermore, Q (s±) < 0, Q (0) > 0 and the integral of Q on the interval [s−, s+] is zero. Solutions ...

This paper proposes a new selection mechanism in evolutionary learning for fuzzy systems, which is applied to the learning of shooting action for robot soccer. In generic evolutionary algorithm, since the evaluation and the selection are performed on the level of chromosome, selected chromosome may include non-effective or bad genes, which increase the uncertainty of the solutions. To solve thi...

Rangelands are the main source of forage production whose degradation is being accelerated due to improper utilities. Furthermore, re-vegetation of palatable plants like Vicia variabilis is more limited in overgrazed rangelands. The objective of this study was to improve degraded rangelands in Meleh-Kabud (Kermanshah, Iran) through planting Vicia variabilis. The research was conducted at experi...

This paper describes the information extraction systems of PRIS at Temporal Summarization Track. The Temporal Summarization Track includes two tasks: sequential update summarization and value tracking. For the first task, we focus attention on keywords mining and sentence scoring. The system utilizes hierarchical Latent Dirichlet Allocation (LDA) to do keywords mining and score sentences with k...