Controllability of nonlinear systems

Hermann method for controllability determination of linear and nonlinear control system

On the optimality of a totally singular vector control- an extension of the green's theorem approach to higher dimensions

Extension of Green theorem approach to higher dimensions for determination of optimality of totally singular vector contro

Contact transformations and the theory of optimal control

Contact transformation of independent and dependent variables of Hamilton-Jacobi equatio

Density-functional investigation of the rhombohedral to simple cubic phase transition of arsenic

We report on our investigation of the crystal structure of arsenic under compression, focusing primarily on the pressure-induced A7 to simple cubic (sc) phase transition. The two-atom rhombohedral unit cell is subjected to pressures ranging from 0 GPa to 200 GPa; for each given pressure, cell lengths and angles, as well as atomic positions, are allowed to vary until the fully relaxed structure is obtained. We find that the nearest and next-nearest neighbor distances give the clearest indication of the occurrence of a structural phase transition. Calculations are performed using the local density approximation (LDA) and the PBE and PW91 generalized gradient approximations (GGA-PBE and GGA-PW91) for the exchange-correlation functional. The A7 to sc transition is found to occur at 21+/-1 GPa in the LDA, at 28+/-1 GPa in the GGA-PBE and at 29+/-1 GPa in the GGA-PW91; no volume discontinuity is observed across the transition in any of the three cases. We use k-point grids as dense as 66X66X66 to enable us to present reliably converged results for the A7 to sc transition of arsenic.Comment: To be published in Physical Review B; material supplementary to this article is available at arXiv:0810.169

Spin vector control for a spinning space station. Volume 2 - Analytic manual Final report

Computer manual for calculating dynamic vector control of dual spin space statio

Pricing Decisions in Small Business

These studies, which originated from research on approximately 100 firms earned on at the University of Kentucky under a grant from the Small Business Administration, are an empirical examination of decision making in the small firm. The practices revealed by the investigation have been analyzed within the theoretic framework of managerial economics. The studies make suggestions for improvements that take into account the limited resources of small firms. A third study, Investment Decisions in Small Business by Martin B. Solomon, will be published at a later date. Pricing Decisions in Small Business points out that pricing is more flexible but that competition is more limited than economists have assumed. Though he already makes some adjustment of prices according to the market, the businessman could profit from greater flexibility in his thinking, especially in the consideration of relative changes in costs and revenues. W. Warren Haynes is professor of economics at the University of Kentuckyhttps://uknowledge.uky.edu/upk_business/1000/thumbnail.jp