There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

“Unpaired Image-to-Image Translation using Cycle-Consistent Adversarial Networks”の学習報告

N G van Kampen 1981 Amsterdam: North-Holland xiv + 419 pp price Dfl 180 This is a book which, at a lower price, could be expected to become an essential part of the library of every physical scientist concerned with problems involving fluctuations and stochastic processes, as well as those who just enjoy a beautifully written book. It provides an extensive graduate-level introduction which is clear, cautious, interesting and readable.

https://iopscience.iop.org/article/10.1088/0031-9112/34/4/040/pdf

Stochastic Processes in Physics and Chemistry

1980 Preface * 1999 Preface * 1999 Acknowledgements * Introduction * 1 Circular Logic * 2 Phase Singularities (Screwy Results of Circular Logic) * 3 The Rules of the Ring * 4 Ring Populations * 5 Getting Off the Ring * 6 Attracting Cycles and Isochrons * 7 Measuring the Trajectories of a Circadian Clock * 8 Populations of Attractor Cycle Oscillators * 9 Excitable Kinetics and Excitable Media * 10 The Varieties of Phaseless Experience: In Which the Geometrical Orderliness of Rhythmic Organization Breaks Down in Diverse Ways * 11 The Firefly Machine 12 Energy Metabolism in Cells * 13 The Malonic Acid Reagent ('Sodium Geometrate') * 14 Electrical Rhythmicity and Excitability in Cell Membranes * 15 The Aggregation of Slime Mold Amoebae * 16 Numerical Organizing Centers * 17 Electrical Singular Filaments in the Heart Wall * 18 Pattern Formation in the Fungi * 19 Circadian Rhythms in General * 20 The Circadian Clocks of Insect Eclosion * 21 The Flower of Kalanchoe * 22 The Cell Mitotic Cycle * 23 The Female Cycle * References * Index of Names * Index of Subjects

https://www.cambridge.org/core/services/aop-cambridge-core/content/view/596B270197FE27DE5FABB598B6210622/S0025557200150892a.pdf/div-class-title-span-class-italic-the-geometry-of-biological-time-span-by-a-t-winfree-pp-544-dm68-corrected-second-printing-1990-isbn-3-540-52528-9-springer-div.pdf

The geometry of biological time , by A. T. Winfree. Pp 544. DM68. Corrected Second Printing 1990. ISBN 3-540-52528-9 (Springer)

https://bura.brunel.ac.uk/bitstream/2438/14221/1/FullText.pdf

A survey of deep neural network architectures and their applications

This paper investigates the problem of Hinfin filtering for uncertain systems subject to limited communication capacity. The parameter uncertainty belongs to a given convex polytope and the communication limitations include measurement quantization, signal transmission delay and data packet dropout, which appear typically in a network environment. The problem of Hinfin filter design is first solved for a nominal system subject to the above information limitations, which is then extended to the uncertain case based on the notion of quadratic stability. To further reduce the overdesign in the quadratic framework, this paper also proposes a parameter-dependent filter design procedure, which is much less conservative than the quadratic approach. These two approaches provide alternatives for designing robust Hinfin filters with different degrees of conservativeness and computational complexity. A mass-spring system is utilized to illustrate the proposed design procedures

Hα Filtering for Uncertain Systems with Limited Communication Capacity

This chapter deals with the problem of H-infinity filtering for networked control systems (NCSs) with limited communication capacity. Three typical phenomena, that is, measurement quantization, data package dropout, and transmission delay, are considered simultaneously to characterize a communication network with limited communication capacity. First, a unified delay system model with norm-bounded uncertainty and two successive delay components is formulated for describing the considered filtering problem subject to these typical phenomena in a network environment. Then, by utilizing the Lyapunov-Krasovskii method, delay-dependent sufficient conditions in terms of LMIs are obtained for filtering performance analysis and filter design, respectively. Using the quadratic method and parameter-dependent method, two different approaches with different computational complexity and design conservatism are further proposed to cope with polytopic uncertainty. Finally, two numerical examples including simulation are employed to demonstrate the effectiveness of the proposed filter design method in this chapter.

Robust Estimation with Limited Communication Capacity

The control of aerospace vehicles, such as manned/ unmanned airplanes, hypersonic vehicles, satellites, and missiles, has attracted a great amount of interest in recent years owing to the rapid development of potential application areas. Modern aerospace vehicles often employ large, complex, and lightweight structures, which result in these space structures being extremely flexible and having low-frequency fundamental vibration modes. These bring challenges to traditional control and optimization methodologies. There is an urgent need to develop new optimization, control, modelling, decision, and fault diagnosis methods. The last few decades have witnessed tremendous advances in control techniques such as robust H2/HN control, adaptive control, and sliding mode control, which have contributed greatly to the successful handling of certain control problems for complex aerospace systems that until recently were thought too difficult to analyse. However, their capability to handle bounded uncertainties/disturbances and unmodelled dynamics in contemporary flight control systems needs to be strengthened. Meanwhile, newly developed mathematical tools and technologies have also opened up various possibilities for the practical implementation of advanced control algorithms in aerospace vehicles. The purpose of this special issue is to bring together the latest/innovative achievements on the research of control of aerospace vehicles. Articles submitted to this special issue cover both the practical and theoretical aspects of advanced control and optimization techniques in the broad areas of robust nonlinear control, fault-tolerant control, multi-objective parameter synthesis, information modelling, adaptive backstepping control, and switching control. Twelve articles have been selected after a rigorous peer review process, and they provide solutions, or early promises, to the modelling, analysis, and implementation of control and optimization problems for aerospace vehicles, such as hypersonic vehicles, space launch vehicles, spacecraft autonomous navigation systems, and quadrotor unmanned aerial vehicles. Finally, we want to acknowledge all the authors for their efforts in submitting high-quality articles. We are also very grateful to the reviewers for their helpful and constructive comments. Last but not least, our deepest gratitude goes to the Editor-in-Chief of the Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, Professor C. R. Burrows, and Assistant Managing Editor, Ms Helen Elmes for their support, encouragement, and advice in publishing this special issue.

Special issue on advanced control of aerospace vehicles

In this article, a hybrid visual-ranging servoing method is proposed to realize high-precision positioning tasks with a 6-degree of freedom (DOF) manipulator. This method utilizes the image and measurement features directly in the control loop. Without the need of complex image feature design and attitude estimation, this method realizes the 6-DOF control of a robot. A vital challenge in traditional vision-based systems is avoiding local minima and singularity problems. To tackle this issue, a full-rank interaction matrix hybrid visual servo (FRHVS) design criterion is proposed, which guarantees that the hybrid interaction matrix and its pseudoinverse matrix are both full rank. Moreover, the interaction matrix for these hybrid strategies, which combines image features with other sensors features, is derived in an analytical form. Experiments on a 6-DOF manipulator show that the proposed method is effective and has global asymptotic stability and high precision.

Hybrid Visual-Ranging Servoing for Positioning Based on Image and Measurement Features

Deep feature fusion plays a significant role in the strong learning ability of convolutional neural networks (CNNs) for computer vision tasks. Recently, works continually demonstrate the advantages of efficient aggregation strategy and some of them refer to multiscale representations. In this article, we describe a novel network architecture for high-level computer vision tasks where densely connected feature fusion provides multiscale representations for the residual network. We term our method the ResDNet which is a simple and efficient backbone made up of sequential ResDNet modules containing the variants of dense blocks named sliding dense blocks (SDBs). Compared with DenseNet, ResDNet enhances the feature fusion and reduces the redundancy by shallower densely connected architectures. Experimental results on three classification benchmarks including CIFAR-10, CIFAR-100, and ImageNet demonstrate the effectiveness of ResDNet. ResDNet always outperforms DenseNet using much less computation on CIFAR-100. On ImageNet, ResDNet-B-129 achieves 1.94% and 0.89% top-1 accuracy improvement over ResNet-50 and DenseNet-201 with similar complexity. Besides, ResDNet with more than 1000 layers achieves remarkable accuracy on CIFAR compared with other state-of-the-art results. Based on MMdetection implementation of RetinaNet, ResDNet-B-129 improves mAP from 36.3 to 39.5 compared with ResNet-50 on COCO dataset.

Huijun Gao

Papers

Hα Filtering for Uncertain Systems with Limited Communication Capacity

Robust Estimation with Limited Communication Capacity

Special issue on advanced control of aerospace vehicles

Hybrid Visual-Ranging Servoing for Positioning Based on Image and Measurement Features

ResDNet: Efficient Dense Multi-Scale Representations With Residual Learning for High-Level Vision Tasks.