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 is concerned with the problems of delay-dependent robust Hscrinfin and Lscr2-Lscrinfin filtering for a class of linear parameter varying (LPV) systems with both discrete and distributed delays. The distributed delays are assumed to appear in both the state and measurement equations. Our attention is focused on the design of delay-dependent robust full-order filters, which guarantee the robust asymptotic stability and a prescribed noise attenuation level in an Hscrinfin or Lscr2-Lscrinfin sense for the filtering error dynamics. The desired filters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities (LMIs), which can be solved via efficient interior-point algorithms

New Robust H/spl infin/ and L2-L/spl infin/ Filtering for LPV Systems with Both Discrete and Distributed Delays

Consensus Over Switching Network Topology: Characterizing System Parameters and Joint Connectivity

The reliability of control strategies becomes more important in the case of active suspension control with the unideal actuators. In Sect. 6.1, the study of vehicle active suspension control with frequency band constraints and actuator input delay is carried out. Section 6.2 investigates the problem of robust sampled-data \(H_{\infty }\) control for active vehicle suspension systems.

Active Suspension Control with the Unideal Actuators

This paper is concerned with the problems of delay-dependent robust H∞ and L2-L∞ filtering for a class of linear parameter varying (LPV) systems with both discrete and distributed delays. The distributed delays are assumed to appear in both the state and measurement equations. Our attention is focused on the design of delay-dependent robust full- order filters, which guarantee the robust asymptotic stability and a prescribed noise attenuation level in an H∞ or L2-L∞ sense for the filtering error dynamics. The desired filters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities (LMIs), which can be solved via efficient interior-point algorithms.

New Robust H∞ and L2-L∞ Filtering for LPV Systems with Both Discrete and Distributed Delays

A mixed H2/Hinfin control design methodology is presented for second-order neutral linear systems with time-varying state and input delays. Delay-dependent sufficient conditions for the design of a desired control are given in terms of LMIs. A controller, which guarantees asymptotic stability and a mixed H2/Hinfin performance for the closed-loop system of the second-order neutral linear system, is then developed directly instead of coupling the model to a first-order neutral system based on a Lyapunov-Krasovskii method. A numerical example with simulation results illustrates the effectiveness of the proposed methodology.

Huijun Gao

Papers

New Robust H/spl infin/ and L2-L/spl infin/ Filtering for LPV Systems with Both Discrete and Distributed Delays

Consensus Over Switching Network Topology: Characterizing System Parameters and Joint Connectivity

Active Suspension Control with the Unideal Actuators

New Robust H∞ and L2-L∞ Filtering for LPV Systems with Both Discrete and Distributed Delays

LMI-Based Mixed / Control of Second-Order 2H8H Neutral Systems with Time-Varying Delays