摘要 :
The spacecraft attitude dynamics and control problem is introduced as a broad class of nonlinear systems. Some of the basic properties of these systems are described from a system theory point of view. Various system theory concep...
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The spacecraft attitude dynamics and control problem is introduced as a broad class of nonlinear systems. Some of the basic properties of these systems are described from a system theory point of view. Various system theory concepts and research topics which have applicability to this class of systems are identified and briefly described. The subject of multi-body dynamics is presented in a vector space setting and is related to system theory concepts. (Author)
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摘要 :
Although computers have come a long way since their invention, they are basically able to handle only crisp values at the hardware level. Unfortunately, the world we live in consists of problems which fail to fall into this catego...
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Although computers have come a long way since their invention, they are basically able to handle only crisp values at the hardware level. Unfortunately, the world we live in consists of problems which fail to fall into this category, i.e., uncertainty is all too common. A problem is looked at which involves uncertainty. To be specific, attributes are dealt with which are fuzzy sets. Under this condition, knowledge is acquired by looking at examples. In each example, a condition as well as a decision is made available. Based on the examples given, two sets of rules are extracted, certain and possible. Furthermore, measures are constructed of how much these rules are believed in, and finally, the decisions are defined as a function of the terms used in the conditions.
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摘要 :
Although computers have come a long way since their invention, they are basicallyable to handle only crisp values at the hardware level. Unfortunately, the world we live in consists of problems which fail to fall into this categor...
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Although computers have come a long way since their invention, they are basicallyable to handle only crisp values at the hardware level. Unfortunately, the world we live in consists of problems which fail to fall into this category, i.e., uncertainty is all too common. A problem is looked at which involves uncertainty. To be specific, attributes are dealt with which are fuzzy sets. Under this condition, knowledge is acquired by looking at examples. In each example, a condition as well as a decision is made available. Based on the examples given, two sets of rules are extracted, certain and possible. Furthermore, measures are constructed of how much these rules are believed in, and finally, the decisions are defined as a function of the terms used in the conditions.
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摘要 :
A form of classical electrodynamic field exists which gives exact agreement with the operator field of quantum electrodynamics (QED) for the Lamb shift of a harmonically bound point electron. Here it is pointed out that this form ...
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A form of classical electrodynamic field exists which gives exact agreement with the operator field of quantum electrodynamics (QED) for the Lamb shift of a harmonically bound point electron. Here it is pointed out that this form of classical theory with its physically acceptable interpretation is the result of an unconventional resolution of a mathematically ambiguous term in classical field theory. Finally a quantum-classical correspondence principle is shown to exist in the sense that the classical field and expectation value of the QED operator field are identical if retardation is neglected in the latter.
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In this report, we give a brief summary of the work done by the PIs and their students on the design and analysis of robust feedback systems. Under this contract, we have conducted research on a number of problems in system and co...
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In this report, we give a brief summary of the work done by the PIs and their students on the design and analysis of robust feedback systems. Under this contract, we have conducted research on a number of problems in system and control theory. In particular, we have obtained significant new results on H infinity control theory, robust stability analysis of feedback systems, robust stabilization of uncertain systems, approximation and control of infinite dimensional systems, etc. In this report, we will present a brief summary of the main results obtained under the AFOSR contract. (KR)
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It is shown that the maximum-likelihood (ML) detector for noisy, binary channel with restricted intersymbol interference (ISI) consists of a matched filter followed by a tapped delay line. The useful output is a nonlinear function...
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It is shown that the maximum-likelihood (ML) detector for noisy, binary channel with restricted intersymbol interference (ISI) consists of a matched filter followed by a tapped delay line. The useful output is a nonlinear function of the tap outputs. Bounds on the per-symbol probability of error indicate that a gross approximation to the ML detector performs as well as an optimum linear detector. The major assumptions are (1) bi-polar binary signals, (2) ISI only between adjacent bauds, (3) stationary additive white, Gaussian noise, and (4) perfect synchronization. Extensions are suggested to remove assumptions (1) and (2) and to handle stationary, non-white Gaussian noise. (Author)
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In certain multi-agent systems, the interactions between agents result in the formation of relationships, which can be leveraged for cooperative or collaborative activities. These relationships generally constrain individual-agent...
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In certain multi-agent systems, the interactions between agents result in the formation of relationships, which can be leveraged for cooperative or collaborative activities. These relationships generally constrain individual-agent actions, since relationships imply that at least one contract (or mutual agreement) between the agents must exist. There is always some uncertainty as to whether or not either agent can or will satisfy some contract requirement -- especially at the creation of a new contract. But in order to maintain the existence of a contract, each agent must overcome this uncertainty and assume that the other will do the same. The mechanism that facilitates this 'act of faith' is generally regarded as 'trust.' In essence, each agent (whether a person or organization) in a relationship mutually trusts that the loss of some control will result in cooperative gains that neither agent could achieve alone. This chapter intends to show how one could mathematically describe these types of trust-based interactions via the cooperative trust game to predict coalition formation and disbanding. It presents a rigorous treatment of coalition formation using cooperative game theory as the underlying mathematical framework. It is important to highlight that cooperative game theory is significantly different than the more widely recognized competitive (non-cooperative) game theory. Cooperative game theory focuses on what groups of self-interested agents can achieve.
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