Canonical Decomposition of Steerable Functions

This paper describes a general mathematical formulation for the problem of constructing steerable functions. The formulation is based on Lie group theory and is thus applicable to transformations which are Lie groups, such as, rotation, translation, scaling, and affine transformation. For one-parameter and Abelian multi-parameter Lie transformation groups, a canonical decomposition of all possible steerable functions, derived using the Jordan decomposition of matrices, is developed. It is shown that any steerable function under Lie transformation groups can be described using this decomposition. Finally, a catalog of steerable functions for several common multi-parameter image transformation groups is also provided.     

Risk analysis of fracture and failure

 This paper is inspired by the work of Professors Heinz Wilsdorf and Doris Kuhlmann-Wilsdorf on fundamental aspects of ductile fracture mechanism. Risk – a measure of the probability and severity of adverse effects – is introduced and related to the consequences associated with elastic (reversible) deformation, plastic (irreversible) deformation, and catastrophic deformation (total failure). Cost-benefit-risk trade-off analysis is discussed. Received: 25 February 1998 / Accepted: 10 March 1998     

离散型H2优化控制问题有唯一解之充分和必要条件

本文导出一般性离散型Ｈ２优化控制问题存在唯一解之充分和必要条件。我们的结果显示，如果一离散型Ｈ２优化控制问题有解，那么其解是唯一的充分和必要条件为：①从控制输入到被控制输出之传递函数是左可逆，及②从干扰输入到测量输出之传递函数是右可逆。     

Stress and affiliation: A utility theory.

Argues that available affiliation theories are unable to explain apparent inconsistencies among studies of affiliation tendencies during stressful situations. A new theory—the utility affiliation theory— is suggested to integrate these data into 1 theoretical framework. The basic assumption of the theory is that the strength of the affiliation tendency is a function of the extent of perceived benefit and damage that may be caused by being with others. The benefit–damage perception may be affected by 3 basic variables: the characteristics of the stressful situations, the individual, and the potential affiliates. Using the concepts suggested in the utility theory, the affiliation studies are categorized and reinterpreted. A summary of 3 studies conducted by the author and I. Lewin in 1983 (in press) to examine the validity of this theory is provided. The studies focused on affiliation in an unavoidable stress situation, immediate vs delayed laboratory stress, and affiliation in individuals with severe illness. (75 ref) (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

Fossil groundwater resources as a basis for arid zone development?

Fossil groundwater aquifers underlie many arid regions. This article is concerned with the economic viability of this resource as a long‐term basis for the development of arid regions. The problem is analysed within the framework of natural resource economics, emphasizing aspects which are typical to the development of fossil groundwater aquifers. The case of the aquifer underlying the Arava valley in Israel is studied in depth.     

On the characterization of noninferior solutions of the vector optimization problem

This paper treats three familiar characterizations of noninferior solutions of the vector optimization problem in terms of solutions of (i) the -constraint problem; (ii) the weighting problem; and (iii) the Langrangian problem. Interrelationships among the above characterizations are emphasized by means of a unified treatment of various known results found in the literature. In addition to summarizing existing results, we propose necessary and sufficient conditions for proper noninferiority expressed in terms of the positivity of optimal Lagrange multipliers in the -constraint problem.     

On the dynamics of competing energy sources

We characterize the dynamics of energy markets in which energy is derived from polluting (fossil) and clean (solar) resources. The analysis is based on geometric optimal control considerations. An important feature of solar energy technologies is that their cost of supply is predominantly due to upfront investment in capital infrastructure (rather than to actual supply rate) and this feature has important implications for the market allocation outcome. In particular, it gives rise to a threshold behavior in that solar energy is adopted only when the price of fossil energy exceeds a certain threshold. Under this condition solar technologies will (eventually) dominate energy supply by driving fossil energy altogether out of the energy sector. A tax on fossil energy can have a substantial impact since it changes the threshold price. A quantity restriction (e.g., a cap on fossil energy) allows for the coexistence of clean and polluting energy technologies also in the long run, and its effect on the use of fossil energy is more moderate.     

Assessing uncertainty in extreme events: Applications to risk-based decision making in interdependent infrastructure sectors

Risk-based decision making often relies upon expert probability assessments, particularly in the consequences of disruptive events and when such events are extreme or catastrophic in nature. Naturally, such expert-elicited probability distributions can be fraught with errors, as they describe events which occur very infrequently and for which only sparse data exist. This paper presents a quantitative framework, the extreme event uncertainty sensitivity impact method (EE-USIM), for measuring the sensitivity of extreme event consequences to uncertainties in the parameters of the underlying probability distribution. The EE-USIM is demonstrated with the Inoperability input-output model (IIM), a model with which to evaluate the propagation of inoperability throughout an interdependent set of economic and infrastructure sectors. The EE-USIM also makes use of a two-sided power distribution function generated by expert elicitation of extreme event consequences.     

Distributed Cooperative Control of Battery Energy Storage Systems in DC Microgrids

The control of battery energy storage systems(BESSs)plays an important role in the management of microgrids.In this paper,the problem of balancing the state-ofcharge(SoC)of the networked battery units in a BESS while meeting the total charging/discharging power requirement is formulated and solved as a distributed control problem.Conditions on the communication topology among the battery units are established under which a control law is designed for each battery unit to solve the control problem based on distributed average reference power estimators and distributed average unit state estimators.Two types of estimators are proposed.One achieves asymptotic estimation and the other achieves finite time estimation.We show that,under the proposed control laws,SoC balancing of all battery units is achieved and the total charging/discharging power of the BESS tracks the desired power.A simulation example is shown to verify the theoretical results.