Iterative Learning Control for Equations with Fractional Derivatives and Impulses

Wang, Jinrong, Liu, Shengda, Fečkan, Michal

Iterative Learning Control for Equations with Fractional Derivatives and Impulses

商品描述

1 Fractional Equations1.1 Pulse Compensation ILC1.2 PD-type ILC1.3 High Order Internal Models ILC1.4 Randomly Varying Trial Lengths ILC2 Fractional Multi-Agent Systems2.1 Linear Systems2.2 Nonlinear Systems3 Instantaneous Impulsive Equations4.1 ODE Case3.2 Stochastic Case3.3 Delay Matrix Case4 Noninstantaneous Impulsive Equations4.1 Fixed Trial Lengths ILC 4.2 Randomly Varying Trial Lengths ILC5 Noninstantaneous Impulsive Inclusions 5.1 Ordinary differential inclusion without impulses5.2 Partial differential inclusion with impulses6. Delay Equations6.1 Discrete Case6.2 Continuous Case

作者簡介

JinRong Wang has been Professor in the Department of Mathematics at the School of Mathematics and Statistics at Guizhou University, People's Republic of China, since 2011. He received his master's degree from Guizhou University in 2006 and Ph.D. from the same university in 2009. He is interested in impulsive differential equations, fractional differential equations, delay differential equations, iterative learning controls, multi-agent systems, atmospheric Ekman flows and Antarctic Circumpolar Current. Since 2015, he has been listed in the Highly Cited Researcher in Mathematics.

Shengda Liu received the B. S. with the major of mathematics from the School of Mathematical Sciences, Harbin Normal University, Harbin, China, in 2012, and the M. S. and Ph. D. with the major of applied mathematics from the School of Mathematics and Statistics, Guizhou University, Guiyang, China, in 2016 and 2019, respectively. He is currently a post-doctoral fellow at the State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences. His current research interests include iterative learning control, fractional order equation and control theory and its application in rehabilitation robots.

Michal Fečkan has been a Professor of Mathematics at the Department of Mathematical Analysis and Numerical Mathematics in the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovak Republic since 2003. He received the master's degree (mathematics) from Comenius University in Bratislava in 1985 and PhD (mathematics) from the Mathematical Institute of Slovak Academy of Sciences in Bratislava, Slovak Republic in 1993. He is interested in nonlinear functional analysis, bifurcation theory, dynamical systems and fractional calculus with applications to mechanics, vibrations and economics.

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