期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2016
卷号：26
期号：3
DOI：10.1515/amcs-2016-0036
出版社：De Gruyter Open
摘要：The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without constraints imposed on control values, is discussed. Various types of necessary and sufficient conditions for relative controllability and relative U -controllability are established and proved. Numerical examples illustrate the obtained theoretical results
关键词：fractional dynamical systems; controllability; delays in the state; constraints; pseudo-transition matrix; Caputo derivative
Loading...
