一类分数阶脉冲中立型系统的可控性研究（英文）
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摘要
讨论了关于分数阶线性时不变脉冲中立型系统的可控性.主要是建构系统可控的充要条件.与此同时,构造了适合的可控函数使得系统可控.最后,给出了实例证明结论是有效的.
This paper is concerned with the controllability of a fractional linear timeinvariant impulsive neutral system. Our main purpose is to built some necessary and sufficient conditions of controllability for those systems. Two criteria on controllability of the system are established by constructing suitable control functions. Examples are given to illustrate our results.
This paper is concerned with the controllability of a fractional linear timeinvariant impulsive neutral system. Our main purpose is to built some necessary and sufficient conditions of controllability for those systems. Two criteria on controllability of the system are established by constructing suitable control functions. Examples are given to illustrate our results.
引文
[1]He B B,Zhou H C,Kou C H.The controllability of fractional damped dynamical systems with control delay[J].Comm.Non.Sci.Num.,2016,32:190-198.
[2]Wang J R,Zhou Y.A class of fractional evolution equations and optimal controls[J].Nonlinear Analysis Real World Applications,2011,12(1):262-272.
[3]Sakthivel R,Ren Y,Mahmudov N I.On the approximate controllability of semilinear fractional differential systems[J].Comput.Math.Appl.,2011,62:1451-1459.
[4]Ji S,Li L,Wang M.Controllability of impulsive differential systems with nonlocal conditions[J].Appl.Math.Comput.,2011,217:6981-6989.
[5]Balachandran K,Govindaraj V.Controllability of fractional damped dynamical systems[J].Appl.Math.Comput.,2015(3):66-73.
[6]Podlubny I.Fractional Differential Equations[M].San Diego:Academic Press,1999.
[7]Tai Z,Lun S.On controllability of fractional implulsive neutral infinite delay evolution integrodifferential systems in Banach spaces[J].Appl.Math.Lett.,2012,25:104-110.
[8]Tai Z.Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces[J].Appl.Math.Lett.,2011,24:2158-2161.
[9]Sakthivel R,Mahmudov N I,Nieto J J.Controllability for a class of fractional-order neutral evolution control systems[J].Appl.Math.Comput.,2012,218:10334-10340.
[10]Diethelm K.The Analysis of Fractional Differential Equations[M].New York:Springer,2010.
[11]Zhou X F,Wei J,Hu L G.Controllability of a fractional linear time-invariant neutral dynamical system[J].Appl.Math.Lett.,2013,26:418-424.
[12]Guo T L.Controllability and observability of impulsive fractional linear time-invariant system[J].Comput.Math.Appl.,2012,64:3171-3182.
[2]Wang J R,Zhou Y.A class of fractional evolution equations and optimal controls[J].Nonlinear Analysis Real World Applications,2011,12(1):262-272.
[3]Sakthivel R,Ren Y,Mahmudov N I.On the approximate controllability of semilinear fractional differential systems[J].Comput.Math.Appl.,2011,62:1451-1459.
[4]Ji S,Li L,Wang M.Controllability of impulsive differential systems with nonlocal conditions[J].Appl.Math.Comput.,2011,217:6981-6989.
[5]Balachandran K,Govindaraj V.Controllability of fractional damped dynamical systems[J].Appl.Math.Comput.,2015(3):66-73.
[6]Podlubny I.Fractional Differential Equations[M].San Diego:Academic Press,1999.
[7]Tai Z,Lun S.On controllability of fractional implulsive neutral infinite delay evolution integrodifferential systems in Banach spaces[J].Appl.Math.Lett.,2012,25:104-110.
[8]Tai Z.Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces[J].Appl.Math.Lett.,2011,24:2158-2161.
[9]Sakthivel R,Mahmudov N I,Nieto J J.Controllability for a class of fractional-order neutral evolution control systems[J].Appl.Math.Comput.,2012,218:10334-10340.
[10]Diethelm K.The Analysis of Fractional Differential Equations[M].New York:Springer,2010.
[11]Zhou X F,Wei J,Hu L G.Controllability of a fractional linear time-invariant neutral dynamical system[J].Appl.Math.Lett.,2013,26:418-424.
[12]Guo T L.Controllability and observability of impulsive fractional linear time-invariant system[J].Comput.Math.Appl.,2012,64:3171-3182.