DNA tile assembly models are a class of mathematically distributed and parallel biocomputing models in DNA tiles. In previous works, tile assembly models have been proved be Turing-universal;that is, the system can do...
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DNA tile assembly models are a class of mathematically distributed and parallel biocomputing models in DNA tiles. In previous works, tile assembly models have been proved be Turing-universal;that is, the system can do what Turing machine can do. In this paper, we use tile systems to solve computational hard problem. Mathematically, we construct three tile subsystems, which can be combined together to solve vertex cover problem. As a result, each of the proposed tile subsystems consists of Theta(1) types of tiles, and the assembly process is executed in a parallel way (like DNA's biological function in cells);thus the systems can generate the solution of the problem in linear time with respect to the size of the graph.
Factor analysis is a powerful tool used for the analysis of dynamic studies. One of the major drawbacks of Factor Analysis of Dynamic Structures (FADS) is that the solution is not mathematically unique when only non-n...
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Factor analysis is a powerful tool used for the analysis of dynamic studies. One of the major drawbacks of Factor Analysis of Dynamic Structures (FADS) is that the solution is not mathematically unique when only non-negativity constraints are used to determine factors and factor coefficients. In this paper, we introduce a novel method to correct FADS solutions by constructing and minimizing a new objective function. The method is improved from non-negative matrix factorizations (NMFs) algorithm by adding a sparse constraint that penalizes multiple components in the images of the factor coefficients. The technique is tested on computer simulations, and a patient ultrasound liver study. The results show that the method works well in comparison to the truth in computer simulations and to region of interest (ROI) measurements in the experimental studies. (C) 2013 Elsevier GmbH. All rights reserved.
This paper investigates the second-order leader-following consensus of multi-agent systems with nonlinear dynamics and time delay by virtue of the periodically intermittent pinning control. All member agents and the v...
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ISBN:
(纸本)9781467357692;9781467357678
This paper investigates the second-order leader-following consensus of multi-agent systems with nonlinear dynamics and time delay by virtue of the periodically intermittent pinning control. All member agents and the virtual leader share the same nonlinear dynamics related to both the position information and the velocity information. Based on Lyapunov stability theory, some useful criteria are obtained to drive all the agents to achieve consensus. Finally, a numerical example is presented to illustrate the theoretical results.
This paper investigates distributed leader-following swarm of heterogeneous multi-agent systems. Comparing with the existing works on leader-following swarm of homogeneous multi-agent systems, this paper is much more ...
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This paper investigates distributed leader-following swarm stability of heterogeneous multi-agent systems with periodically intermittent control. We assume that the agents in the network are nonidentical and the coupl...
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ISBN:
(纸本)9789881563835
This paper investigates distributed leader-following swarm stability of heterogeneous multi-agent systems with periodically intermittent control. We assume that the agents in the network are nonidentical and the coupling matrix is balanced. Each heterogeneous follower is assumed to obtain some information from the leader and the neighbors only on a series of periodically time intervals. We show that the system will be exponentially stable. The stability properties are proved via theoretical analysis and verified via numerical simulations. The stability of the heterogeneous multi-agent systems is proved based on matrix theory and the Lyapunov stability theorem. A numerical example is shown to demonstrate the effectiveness of the theoretical result.
This paper is concerned with the modeling and the control of networked control systems(NCSs) with stochastic packet *** order to facilitate the technical description,network-induced time delay is assumed to be *** clo...
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ISBN:
(纸本)9781479900305
This paper is concerned with the modeling and the control of networked control systems(NCSs) with stochastic packet *** order to facilitate the technical description,network-induced time delay is assumed to be *** closed-loop NCS with stochastic packet dropout is modeled as a continuous-time system with time-varying delays and stochastic parameters. By utilizing the Lyapunov-Krasovskii functional method,the integral inequality lemma and the Gronwall-Bellman lemma,a less conservative criterion for exponential mean-square stability of NCS with stochastic packet dropout is presented in the form of nonlinear matrix ***,the state feedback gain matrix is provided based on solving a linear matrix inequality (LMI).Moreover,the state feedback gain matrix is obtained by solving a linear matrix inequality(LMI).Based on the solvability of this LMI,the allowable upper bound of continuous packet dropouts is determined,from which the maximum allowable time interval(MATI) can also be ***,a numerical example is given to demonstrate the effectiveness of our results.
This paper deals with the problem of global exponential synchronization of a class of memristor-based recurrent neural networks with time-varying delays based on the fuzzy theory and Lyapunov method. First, a memristo...
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This paper deals with the problem of global exponential synchronization of a class of memristor-based recurrent neural networks with time-varying delays based on the fuzzy theory and Lyapunov method. First, a memristor-based recurrent neural network is designed. Then, considering the state-dependent properties of the memristor, a new fuzzy model employing parallel distributed compensation (PDC) gives a new way to analyze the complicated memristor-based neural networks with only two subsystems. Comparisons between results in this paper and in the previous ones have been made. They show that the results in this paper improve and generalized the results derived in the previous literature. An example is also given to illustrate the effectiveness of the results. (C) 2013 Elsevier Ltd. All rights reserved.
Implantable devices have become increasingly popular in modern medicine. These devices have a wide range of applications, such as health monitoring, disease prevention, delivery of a therapeutic regimen, and biom...
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Implantable devices have become increasingly popular in modern medicine. These devices have a wide range of applications, such as health monitoring, disease prevention, delivery of a therapeutic regimen, and biomimetic prosthesis. For example, electrical stimulation of nerve tissue and recording of neural electrical activity are the basis of emerging prostheses and treatments for spinal cord injury, stroke, sensory deficits, and neurological disorders [1]-[5]. Being able to record neural activity from awake animals with observable behavior has greatly advanced our understanding of the neural mechanisms that mediate behavior. Conventional microelectrode recording techniques typically require a percutaneous connector, which is associated with infection risks. Generally, in order to obtain stable recordings, animals must be trained to accept some degree of restraint (e.g., head fixation). Not only is the mobility of the animal subject limited, but the results obtained under such restricted conditions may not reflect the full repertoire of brain activity that occurs during natural behaviors [2]. This issue can be addressed with implantable electronics to record neural activity and wirelessly transmit this data through the skin to an external device. A wireless technique is then required to transmit both data and power, connecting the external system and the implanted devices.
Soft lunar landing optimization is a complex optimal control problem. Applying polynomial interpolation, control curves are expressed by N parameters which represent ordinates at N-Order Chebyshev polynomial's roo...
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ISBN:
(纸本)9781467345675;9781467345682
Soft lunar landing optimization is a complex optimal control problem. Applying polynomial interpolation, control curves are expressed by N parameters which represent ordinates at N-Order Chebyshev polynomial's roots. The states of the problem are determined by numerical integration. Then, the problem is translated to a nonlinear programming problem(NLP) whose decision vector is the parameters of the interpolation polynomials. It is solved by an efficient stochastic algorithm-differential evolution(DE) incorporated with constraints processing method. The algorithm is convenient to implement due to only a few parameters need to be set. In order to evaluate the algorithm, a scenario simulation is given. The results are compared with a direct transcription method in literature, and it shows that the solution of our algorithm is comparable to the counterpart.
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