Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact

Science: general issues --- Physics --- Fractional Differential Equations --- Real-World Applications --- Physics --- fractional calculus --- computational techniques --- Fractional order models --- Fractional Differential Equations --- Real-World Applications --- Physics --- fractional calculus --- computational techniques --- Fractional order models

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In recent research on natural processes, mathematical modeling has become a very useful tool. It is often the case that, in fields such as economics and biology, a temporal lag between cause and effect must often be taken into consideration. In modeling, a natural and practical implementation of this phenomenon is through the use of distributed delays. This is because they illustrate the situation where temporal lags arise in certain ranges of values for certain related probability distributions, taking into account the variables’ entire history of behavior. Another mathematical tool that allows for the memory and inherited properties of systems to be encompassed in a model is the replacement of integer-order derivatives with fractional derivatives. To address realistic conditions, stochastic perturbation framed by a stochastic differential delay system can be used to explain the ambiguity about the context in which the system operates. The present book comprises all the 16 articles accepted and published in the Special Issue “Advances in Differential Dynamical Systems with Applications to Economics and Biology” of the MDPI journal Mathematics, with focuses on the dynamical analysis of mathematical models, arising from economy and biology, and innovative developments in mathematical techniques for their applications. We expect that the international scientific community will find this collection of research papers influential and that they will spur additional investigations on diverse applications with respect to dynamical systems in all scientific areas.

Research & information: general --- Mathematics & science --- dynamical systems --- time delay --- stability --- bifurcation analysis in economic and biological systems --- chaotic behaviors --- fractional order systems --- numerical methods --- economic modeling --- infection modeling --- epidemic spreading --- blood flow models --- optimal control --- reaction&ndash --- diffusion systems

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

A wide range of ongoing research in the areas of controller design and information engineering reveals that the pace of technological change in this domain seems to be accelerating. The primary focus is on futuristic segments ranging from robotics, genomics to chemical feedstock and electrical storage. The main objective of this special issue was to provide a forum for researchers and practitioners to exchange their latest theoretical and technological achievements and to identify critical issues and challenges for future investigation on topics regarding advanced automation and control techniques based on information system technologies.

Technology: general issues --- fractional calculus --- fractional-order control --- experimental tuning --- smart beam --- vibration suppression --- industrial internet of things --- prediction strategy --- proactive historian --- water industry --- lithium-ion batteries --- fast charging --- battery ageing --- sample and hold --- hierarchical clustering --- multidimensional scaling --- distances --- moving horizon estimation --- Kalman filter --- parameter estimation --- tumor growth estimation --- vibration --- control --- linear quadratic regulator (LQR) --- algebraic Riccati equation --- iteration --- state observer --- viscoelasticity --- mechatronic system --- 6DOF platform --- co-simulation platform --- robust control --- fractional order PID control --- linear parameter varying system --- fractional calculus --- fractional-order control --- experimental tuning --- smart beam --- vibration suppression --- industrial internet of things --- prediction strategy --- proactive historian --- water industry --- lithium-ion batteries --- fast charging --- battery ageing --- sample and hold --- hierarchical clustering --- multidimensional scaling --- distances --- moving horizon estimation --- Kalman filter --- parameter estimation --- tumor growth estimation --- vibration --- control --- linear quadratic regulator (LQR) --- algebraic Riccati equation --- iteration --- state observer --- viscoelasticity --- mechatronic system --- 6DOF platform --- co-simulation platform --- robust control --- fractional order PID control --- linear parameter varying system

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

A wide range of ongoing research in the areas of controller design and information engineering reveals that the pace of technological change in this domain seems to be accelerating. The primary focus is on futuristic segments ranging from robotics, genomics to chemical feedstock and electrical storage. The main objective of this special issue was to provide a forum for researchers and practitioners to exchange their latest theoretical and technological achievements and to identify critical issues and challenges for future investigation on topics regarding advanced automation and control techniques based on information system technologies.

Technology: general issues --- fractional calculus --- fractional-order control --- experimental tuning --- smart beam --- vibration suppression --- industrial internet of things --- prediction strategy --- proactive historian --- water industry --- lithium-ion batteries --- fast charging --- battery ageing --- sample and hold --- hierarchical clustering --- multidimensional scaling --- distances --- moving horizon estimation --- Kalman filter --- parameter estimation --- tumor growth estimation --- vibration --- control --- linear quadratic regulator (LQR) --- algebraic Riccati equation --- iteration --- state observer --- viscoelasticity --- mechatronic system --- 6DOF platform --- co-simulation platform --- robust control --- fractional order PID control --- linear parameter varying system --- n/a

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Control and automation systems are at the heart of our every day lives. This book is a collection of novel ideas and findings in these fields, published as part of the Special Issue on Control and Automation. The core focus of this issue was original ideas and potential contributions for both theory and practice. It received a total number of 21 submissions, out of which 7 were accepted. These published manuscripts tackle some novel approaches in control, including fractional order control systems, with applications in robotics, biomedical engineering, electrical engineering, vibratory systems, and wastewater treatment plants. This Special Issue has gathered a selection of novel research results regarding control systems in several distinct research areas. We hope that these papers will evoke new ideas, concepts, and further developments in the field.

fractional calculus --- fractional-order control --- experimental tuning --- smart beam --- vibration suppression --- industrial internet of things --- prediction strategy --- proactive historian --- water industry --- lithium-ion batteries --- fast charging --- battery ageing --- sample and hold --- hierarchical clustering --- multidimensional scaling --- distances --- moving horizon estimation --- Kalman filter --- parameter estimation --- tumor growth estimation --- vibration --- control --- linear quadratic regulator (LQR) --- algebraic Riccati equation --- iteration --- state observer --- viscoelasticity --- mechatronic system --- 6DOF platform --- co-simulation platform --- robust control --- fractional order PID control --- linear parameter varying system --- n/a