Maximum Principle for Systems with Delay Depending on State, Control and Time

Maximum Principle for Systems with Delay Depending on State, Control and Time

Author: Andrzej Manitius

Publisher:

Published: 1972

Total Pages: 52

ISBN-13:

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Optimal control problems for systems described by differential equations with a delayed argument depending on state, control and time are considered. Unlike previous work in this area, there is no restrictive assumption on the monotonicity of the delayed argument with respect to time. The class of admissible controls consists of bounded measurable functions. The terminal point of the trajectory is assumed to be free or constrained by an inequality. Necessary conditions for optimality in the form of a maximum principle are derived via Gabasov's method. The problem of discontinuity of the adjoint variables, as well as other essential features of the maximum principle, are discussed. An example given in the Appendix shows that the optimal behavior of the delay need not necessarily consist in zeroing the delay on the whole time interval. (Author).


Control and Systems Engineering

Control and Systems Engineering

Author: Aly El-Osery

Publisher: Springer

Published: 2015-03-19

Total Pages: 380

ISBN-13: 331914636X

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This book is a tribute to 40 years of contributions by Professor Mo Jamshidi who is a well known and respected scholar, researcher, and educator. Mo Jamshidi has spent his professional career formalizing and extending the field of large-scale complex systems (LSS) engineering resulting in educating numerous graduates specifically, ethnic minorities. He has made significant contributions in modeling, optimization, CAD, control and applications of large-scale systems leading to his current global role in formalizing system of systems engineering (SoSE), as a new field. His books on complex LSS and SoSE have filled a vacuum in cyber-physical systems literature for the 21st Century. His contributions to ethnic minority engineering education commenced with his work at the University of New Mexico (UNM, Tier-I Hispanic Serving Institution) in 1980 through a NASA JPL grant. Followed by several more major federal grants, he formalized a model for educating minorities, called VI-P Pyramid where K-12 students(bottom of pyramid) to doctoral (top of pyramid) students form a seamless group working on one project. Upper level students mentor lower ones on a sequential basis. Since 1980, he has graduated over 114 minority students consisting of 62 Hispanics, 34 African Americans., 15 Native Americans, and 3 Pacific Islanders. This book contains contributed chapters from colleagues, and former and current students of Professor Jamshidi. Areas of focus are: control systems, energy and system of systems, robotics and soft computing.


Time Delay Systems

Time Delay Systems

Author: Tamás Insperger

Publisher: Springer

Published: 2017-03-30

Total Pages: 359

ISBN-13: 3319534262

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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.


Information Computing and Applications, Part II

Information Computing and Applications, Part II

Author: Rongbo Zhu

Publisher: Springer

Published: 2010-09-30

Total Pages: 556

ISBN-13: 3642163394

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This volume contains the proceedings of the International Conference on Inf- mation Computing and Applications (ICICA 2010), which was held in Tangshan, China, October 15-18, 2010. As future-generation information technology, information computing and applications become specialized, information computing and applications - cluding hardware, software, communications and networks are growing with ever-increasing scale and heterogeneity and becoming overly complex. The c- plexity is getting more critical along with the growing applications. To cope with the growing and computing complexity, information computing and applications focus on intelligent, selfmanageable, scalable computing systems and applications to the maximum extent possible without human intervention or guidance. With the rapid development of information science and technology, infor- tion computing has become the third approach of science research. Information computing and applications is the ?eld of study concerned with constructing - telligent computing, mathematical models, numerical solution techniques and using computers to analyze and solve natural scienti?c, social scienti?c and engineering problems. In practical use, it is typically the application of c- puter simulation, intelligent computing, internet computing, pervasive comp- ing, scalable computing, trusted computing, autonomy-oriented computing, evolutionary computing, mobile computing, computational statistics, engine- ing computing, multimedia networking and computing, applications and other forms of computation problems in various scienti?c disciplines and engine- ing. Information computing and applications is an important underpinning for techniques used in information and computational science and there are many unresolved problems that address worth studying.


Control of Systems with Aftereffect

Control of Systems with Aftereffect

Author: Vladimir Borisovich Kolmanovskiĭ

Publisher: American Mathematical Soc.

Published: 1996-01-01

Total Pages: 354

ISBN-13: 9780821889572

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Deterministic and stochastic control systems with aftereffect are considered. Necessary and sufficient conditions for the optimality of such systems are obtained. Various methods for the construction of exact and approximate solutions of optimal control problems are suggested. Problems of adaptive control for systems with aftereffect are analyzed. Numerous applications are described. The book can be used by researchers, engineers, and graduate students working in optimal control theory and various applications.


Mathematical Modelling and Analysis of Infectious Diseases

Mathematical Modelling and Analysis of Infectious Diseases

Author: Khalid Hattaf

Publisher: Springer Nature

Published: 2020-07-30

Total Pages: 348

ISBN-13: 3030498964

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This book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues. Key Features Mathematical models that describe population prevalence or incidence of infectious diseases Mathematical tools and techniques to analyse data on the incidence of infectious diseases Early detection and risk estimate models of infectious diseases Mathematical models that describe the transmission of infectious diseases and analyse data Dynamical analysis and control strategies for infectious diseases Studies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic