advances in analysis and control of time delayed dynamical systems

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Advances In Analysis And Control Of Time Delayed Dynamical Systems

Author : Jian-Qiao Sun
ISBN : 9789814525510
Genre : Technology & Engineering
File Size : 77. 78 MB
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Analysis and control of time-delayed systems have been applied in a wide range of applications, ranging from mechanical, control, economic, to biological systems. Over the years, there has been a steady stream of interest in time-delayed dynamic systems, this book takes a snap shot of recent research from the world leading experts in analysis and control of dynamic systems with time delay to provide a bird's eye view of its development. The topics covered in this book include solution methods, stability analysis and control of periodic dynamic systems with time delay, bifurcations, stochastic dynamics and control, delayed Hamiltonian systems, uncertain dynamic systems with time delay, and experimental investigations of delayed structural control. Contents:Complete Quadratic Lyapunov-Krasovskii Functional: Limitations, Computational Efficiency, and Convergence (Keqin Gu)Recent Approaches for the Numerical Solution of State-Dependent Delay Differential Equations with Discontinuities (Alfredo Bellen)Engineering Applications of Time-Periodic Time-Delay Systems (Gábor Stépán)Synchronization in Delay-Coupled Complex Networks (Eckehard Schöll)Stochastic Dynamics and Optimal Control of Quasi Integrable Hamiltonian Systems with Time-Delayed Feedback Control (Weiqiu Zhu and Zhonghua Liu)Delay Induced Strong and Weak Resonances in Delayed Differential Systems (Jian Xu, Wanyong Wang)Stability and Hopf Bifurcation of Time-Delay Systems with Complex Coefficients (Zaihua Wang and Junyu Li)Estimation and Control in Time-Delayed Dynamical Systems Using the Chebyshev Spectral Continuous Time Approximation and Reduced Liapunov-Floquet Transformation (Eric A Butcher, Oleg Bobrenkov, Morad Nazari and Shahab Torkamani)Noise-Induced Dynamics of Time-Delayed Stochastic Systems (Yanfei Jin and Haiyan Hu)Some Studies on Delayed System Dynamics and Control (Guo-Pingcai, Long-Xiang Chen and Kun Liu)Switching Control of Uncertain Dynamic Systems with Time Delay (Jian-Qiao Sun, Xiao-Yan Zhang, Zhi-Chang Qin and Shun Zhong) Readership: The researchers in the community of dynamics and control including mechanical, civil, structural, aerospace, naval and electrical engineers. Graduate students pursuing research in the area of dynamics and control. Keywords:Time-Delayed Dynamical Control Systems;Stochastic Dynamics and Optimal Control SystemsKey Features:Professor Jian-Qiao Sun, of University of California-Merced is well-known for his work on stochastic nonlinear dynamical systems and cell mapping methodsProfessor Qian Ding of Tianjin University is well-known for his work on nonlinear dynamics, rotor dynamics and reduced order modeling of complex dynamical systemsThere are many books devoted to time delayed systems, as noted in the authors' proposal, but many don't do justice to control. In addition, the topic of time delayed, non-smooth systems is beginning to receive considerable attention in the literature, but not (well) addressed in any of the current books

Time Delay Systems

Author : Tamás Insperger
ISBN : 9783319534268
Genre : Technology & Engineering
File Size : 38. 48 MB
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This volume collects contributions related to selected presentations from the 12th IFAC Workshop on Time Delay Systems, Ann Arbor, June 28-30, 2015. The included papers present novel techniques and new results of delayed dynamical systems. The topical spectrum covers control theory, numerical analysis, engineering and biological applications as well as experiments and case studies. The target audience primarily comprises research experts in the field of time delay systems, but the book may also be beneficial for graduate students alike.

Stabilizing And Optimizing Control For Time Delay Systems

Author : Wook Hyun Kwon and PooGyeon Park
ISBN : 9783319927046
Genre :
File Size : 58. 59 MB
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Advances In Time Delay Systems

Author : Silviu-Iulian Niculescu
ISBN : 9783642184826
Genre : Science
File Size : 67. 22 MB
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In the mathematical description of a physical or biological process, it is a common practice \0 assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora ted perfonnances for the corresponding closed-loop systems.

Approximation Of Large Scale Dynamical Systems

Author : Athanasios C. Antoulas
ISBN : 9780898716580
Genre : Mathematics
File Size : 57. 1 MB
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Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Analysis And Synthesis Of Singular Systems With Time Delays

Author : Zheng-Guang Wu
ISBN : 9783642374975
Genre : Computers
File Size : 70. 63 MB
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Singular time-delay systems are very suitable to describe a lot of practical systems such as manufacturing systems, networked control systems, power systems and electrical circuits. Thus, the past two decades have witnessed a significant progress on the theory of singular time-delay systems, and many fundamental and important topics have been successfully investigated including stability analysis, stabilization, guaranteed cost control, filtering, observer design, sliding mode control and so on. The main objective of this book is to present the latest developments and references in the analysis and synthesis of singular time-delay systems with or without Markov jumping parameters in a unified framework. The materials adopted in this book are mainly based on research results of the authors. This book will be of interest to academic researchers working in singular systems, time-delay systems and Markov jump systems and to graduate students interested in systems and control theory.

Recent Advances In Applied Nonlinear Dynamics With Numerical Analysis

Author : Changpin Li
ISBN : 9789814436472
Genre : Mathematics
File Size : 23. 70 MB
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Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation. Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations will be introduced and discussed. In the infinite dimensional dynamics part, we emphasize on numerical calculation and theoretical analysis, including constructing various numerical methods and computing the corresponding limit sets, etc. In the last part, we show interest in network dynamics and fractal dynamics together with numerical simulations as well as their applications. Contents:Gronwall Inequalities (Fanhai Zeng, Jianxiong Cao and Changpin Li)Existence and Uniqueness of the Solutions to the Fractional Differential Equations (Yutian Ma, Fengrong Zhang and Changpin Li)Finite Element Methods for Fractional Differential Equations (Changpin Li and Fanhai Zeng)Fractional Step Method for the Nonlinear Conservation Laws with Fractional Dissipation (Can Li and Weihua Deng)Error Analysis of Spectral Method for the Space and Time Fractional Fokker–Planck Equation (Tinggang Zhao and Haiyan Xuan)A Discontinuous Finite Element Method for a Type of Fractional Cauchy Problem (Yunying Zheng)Asymptotic Analysis of a Singularly Perturbed Parabolic Problem in a General Smooth Domain (Yu-Jiang Wu, Na Zhang and Lun-Ji Song)Incremental Unknowns Methods for the ADI and ADSI Schemes (Ai-Li Yang, Yu-Jiang Wu and Zhong-Hua Yang)Stability of a Collocated FV Scheme for the 3D Navier–Stokes Equations (Xu Li and Shu-qin Wang)Computing the Multiple Positive Solutions to p–Henon Equation on the Unit Square (Zhaoxiang Li and Zhonghua Yang)Multilevel WBIUs Methods for Reaction–Diffusion Equations (Yang Wang, Yu-Jiang Wu and Ai-Li Yang)Models and Dynamics of Deterministically Growing Networks (Weigang Sun, Jingyuan Zhang and Guanrong Chen)On Different Approaches to Synchronization of Spatiotemporal Chaos in Complex Networks (Yuan Chai and Li-Qun Chen)Chaotic Dynamical Systems on Fractals and Their Applications to Image Encryption (Ruisong Ye, Yuru Zou and Jian Lu)Planar Crystallographic Symmetric Tiling Patterns Generated From Invariant Maps (Ruisong Ye, Haiying Zhao and Yuanlin Ma)Complex Dynamics in a Simple Two-Dimensional Discrete System (Huiqing Huang and Ruisong Ye)Approximate Periodic Solutions of Damped Harmonic Oscillators with Delayed Feedback (Qian Guo)The Numerical Methods in Option Pricing Problem (Xiong Bo)Synchronization and Its Control Between Two Coupled Networks (Yongqing Wu and Minghai Lü) Readership: Senior undergraduates, postgraduates and experts in nonlinear dynamics with numerical analysis. Keywords:Fractional Dynamics;Infinite Dimensional Dynamics;Network Dynamics;Fractal DynamicsKey Features:The topics in this edited book are very hot and highly impressiveIssues and methods of such topics in this edited book have not been made available yetThe present edited book is suitable for various levels of researchers, such as senior undergraduates, postgraduates, and experts

Time Delay Systems

Author :
ISBN : 9789814464888
Genre :
File Size : 45. 27 MB
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Dynamical Systems

Author : Albert C. J. Luo
ISBN : 1441957545
Genre : Technology & Engineering
File Size : 73. 56 MB
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Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. Dynamical Systems: Discontinuous, Stochasticity and Time-Delay also contains material on time-delay systems as they relate to linear switching, dynamics of complex networks, and machine tools with multiple boundaries. It is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.

Analysis And Synthesis Of Dynamical Systems With Time Delays

Author : Yuanqing Xia
ISBN : 9783642026959
Genre : Technology & Engineering
File Size : 64. 63 MB
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Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

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