This paper describes the application of the transcription method to compute an optimal low thrust transfer from a geostationary transfer orbit around the earth to a specified lunar mission orbit. It is representative ...
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This paper describes the application of the transcription method to compute an optimal low thrust transfer from a geostationary transfer orbit around the earth to a specified lunar mission orbit. It is representative of the SMART-1 mission that will be conducted by ESA early in 2003. The spacecraft is equipped with electric propulsion powered by solar array. So the available thrust is no more than 0.073 Newton, while the initial mass of the satellite is 350 kg. This is a challenging class of optimal control problems since significant orbit manipulations require very long duration trajectories. The problem is also demanding because realistic forces due to earth oblateness and third-body perturbation often dominate the thrust. This approach combines a sparse nonlinear programming algorithm with a discretization of the trajectory and automated mesh refinement. The problem will be presented in detail and the optimization performance along with the optimized trajectory will be discussed.
Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The ...
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Some new oscillation criteria are established for a second order neutral delay differential equations. These results improve oscillation results of Y.V. Rogo-vchenko for the retarded delay differential equations. The relevance of our theorems is illustrated with two carefully selected examples.
Multi-agent systems comprise entities whose individual decision making behavior may depend on one another's. Game-theory provides apposite concepts to reason in a math.matically precise fashion about such interact...
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Multi-agent systems comprise entities whose individual decision making behavior may depend on one another's. Game-theory provides apposite concepts to reason in a math.matically precise fashion about such interactive and interdependent situations. This paper concerns a logical analysis of the game-theoretical notions of Nash equilibrium and its subgame perfect variety as they apply to a particular class of extensive games of perfect information. Extensive games are defined as a special type of labelled graph and we argue that modal languages can be employed in their description. We propose a logic for a multi-modal language and prove its completeness with respect to a class of frames that correspond with a particular class of extensive games. In this multimodal language (subgame perfect) Nash equilibria can be characterized. Finally, we show how this approach can formally be refined by using Prepositional Dynamic Logic (PDL), though we leave completeness as an open question.
We advocate the use of publish/subscribe as an interaction style for upgradeable component-based systems. We present an architecture based on publish/subscribe that enables easy dynamic replacement of components. We d...
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ISBN:
(纸本)0769517277
We advocate the use of publish/subscribe as an interaction style for upgradeable component-based systems. We present an architecture based on publish/subscribe that enables easy dynamic replacement of components. We describe the rationale behind design decisions relating to robustness, binding, upgrading and transfer of state. Furthermore, we illustrate our architecture using some scenarios.
In this paper, we consider the problem of computing the Betti numbers of an arrangement of n compact semi-algebraic sets, S1,..., Sn ⊂ k, where each Si is described using a constant number of polynomials with degrees ...
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In this paper, we consider the problem of computing the Betti numbers of an arrangement of n compact semi-algebraic sets, S1,..., Sn ⊂ k, where each Si is described using a constant number of polynomials with degrees bounded by a constant. Such arrangements are ubiquitous in computational geometry. We give an algorithm for computing -th Betti number, β(∪iSi), 0 ≤ ≤ k - 1, using O(n+2) algebraic operations. Additionally, one has to perform linear algebra on matrices of size bounded by O(n+1). All previous algorithms for computing the Betti numbers of arrangements, triangulated the arrangement giving rise to a complex of size O(n2k) in the worst case. To our knowledge this is the first algorithm for computing β(∪iSi) that does not rely on such a global triangulation, and has a graded complexity which depends on .
We extend a quadrivalent logic of Belnap to graded truth values in order to handle graded relevance of positive and negative arguments provided in preferential information concerning ranking of a finite set of alterna...
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Rapid changes in the IT field have placed a burden on educational institutions, which must decide how best to provide computing support for instruction and research. Institutions must determine the ideal balance of IT...
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ISBN:
(纸本)9781581135640
Rapid changes in the IT field have placed a burden on educational institutions, which must decide how best to provide computing support for instruction and research. Institutions must determine the ideal balance of IT support with other educational needs in the academic community. Access to information technology is no longer a privilege held by a select few groups: instead, it has become a necessity in the academic environment. Since the late 1980's, computing support strategies at Indiana University have changed drastically to accommodate the changes in users' needs. In order to keep up with these changes, the University solicits input directly from users, allowing it to apply its scant and valuable computing support resources to where they are most needed. The annual IT survey conducted by the information technology organization has proven an invaluable tool in helping the University maintain one of the best academic computing support environments in the nation. Giving the end users an opportunity to provide input on what changes are needed in the University's IT environment has played a key role in the success of the support mechanisms. In addition, responses to the survey give an accurate picture of current needs and allow better projection of future needs of users. This allows the University to better serve its academic computing community without over-allocating resources that would be more useful elsewhere in the academic environment.
In this paper we extend the work presented in the papers [1-3] where we considered optimal control of a linear, discrete time system subject to input constraints and stochastic disturbances. Here we basically look at ...
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In this paper we extend the work presented in the papers [1-3] where we considered optimal control of a linear, discrete time system subject to input constraints and stochastic disturbances. Here we basically look at the same problem but we additionally consider state constraints. We discuss several approaches for incorporating state constraints in a stochastic optimal control problem. We consider in particular a soft-constraint on the state constraints where constraint violation is punished by a hefty penalty in the cost function. Because of the stochastic nature of the problem, the penalty on the state constraint violation can not be made arbitrary high. We derive a condition on the growth of the state violation cost that has to be satisfied for the optimization problem to be solvable. This condition gives a link between the problem that we consider and the well known H∞ control problem.
Fluid-structure interaction in piping systems (FSI) consists of the transfer of momentum and forces between piping and the contained liquid during unsteady flow. Excitation mechanisms may be caused by rapid changes in...
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Fluid-structure interaction in piping systems (FSI) consists of the transfer of momentum and forces between piping and the contained liquid during unsteady flow. Excitation mechanisms may be caused by rapid changes in flow and pressure or may be initiated by mechanical action of the piping. The interaction is manifested in pipe vibration and perturbations in velocity and pressure of the liquid. The resulting loads imparted on the piping are transferred to the support mechanisms such as hangers, thrust blocks, etc. The phenomenon has recently received increased attention because of safety and reliability concerns in power generation stations, environmental issues in pipeline delivery systems, and questions related to stringent industrial piping design performance guidelines. Furthermore, numerical advances have allowed practitioners to revisit the manner in which the interaction between piping and contained liquid is modeled, resulting in improved techniques that are now readily available to predict FSI. This review attempts to succinctly summarize the essential mechanisms that cause FSI, and present relevant data that describe the phenomenon. In addition, the various numerical and analytical methods that have been developed to successfully predict FSI will be described. Several earlier reviews regarding FSI in piping have been published;this review is intended to update the reader on developments that have taken place over the last approximately ten years, and to enhance the understanding of various aspects of FSI. There are 123 references cited in this review article.
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