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Optimal Controllability of Nonlinear Infinitely Space of Neutral Differential Systems with Distributed Delays in the Control

Paul Anaetodike Oraekie
2018 Tropical Journal of Applied Natural Sciences  
In this paper, we discussed controllability analysis of nonlinear infinite space of neutral differential systems with distributed delays in the control.  ...  Necessary and sufficient conditions for the existence of an optimal control of the system were established. We also, made use of the integration technique as in Klamka (1976) to establish results.  ...  Balachandran and Anandhi (2003) , discussed the controllability of neutral functional integro-differential systems in abstract phase space, with the help of Schauder fixed point theorem.  ... 
doi:10.25240/tjans.2018.2.2.06 fatcat:oekwgonk6rbznechjx2jg3e6ja

A comment on the papers "A study on controllability of semilinear integrodifferential systems in banach spaces" and "controllability of neutral functional integrodifferential systems in banach spaces"

E. Hernández, M. Pierri, P. Táboas
2005 Computers and Mathematics with Applications  
Keywords--Controllability, Differential equations in abstract spaces, Neutral differential equations, Semigroups of linear operators.  ...  The results in the papers, "A Study on Controllability of Semilinear Integrodifferential Systems in Banach Spaces" [1] and "Controllability of Neutral Functional Integrodifferential Systems in Banach Spaces  ...  The results in the papers, "A Study on Controllability of Semilinear Integrodifferential Systems in Banach Spaces" [1] and "Controllability of Neutral Functional Integrodifferential Systems in Banach  ... 
doi:10.1016/j.camwa.2005.06.004 fatcat:yb772n2yhzf5bepsz5zcg6eqhq

Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces

X. J. Wan, Y. P. Zhang, J. T. Sun
2013 Abstract and Applied Analysis  
We investigate the controllability of impulsive neutral functional differential inclusions in Banach spaces.  ...  Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces.  ...  This work is supported by the National Science Foundation of China under Grant 61174039.  ... 
doi:10.1155/2013/861568 fatcat:qqgdltlbkjavjmjbb32csg34ty

Page 2698 of Mathematical Reviews Vol. , Issue 90E [page]

1990 Mathematical Reviews  
N. (1-NCS) The time control theory of linear differential equations of neutral type. The mathematics of systems and computations (Atlanta, GA, 1986). Comput. Math.  ...  neutral systems.  ... 

Exact Controllability of an Impulsive Semilinear System with Deviated Argument in a Banach Space

Sanjukta Das, Dwijendra N. Pandey, N. Sukavanam
2014 Journal of Difference Equations  
A functional differential equation with deviated argument coupled with impulsive conditions is studied for the existence and uniqueness of the mild solution and exact controllability of the system.  ...  The first author would like to thank Ministry of Human Resource and Development with Grant no. MHR-02-23-200-429/304 for their funding.  ...  Tai and Wang [8] proposed sufficient conditions for the controllability of fractional impulsive neutral functional integrodifferential systems in a Banach space.  ... 
doi:10.1155/2014/461086 fatcat:sz5obslaefca3j2kchjmbfzlzm

Page 189 of Automation and Remote Control Vol. 53, Issue 2 [page]

1992 Automation and Remote Control  
Tarn, "On the function space controllability of linear neutral systems," SIAM J. Control Optim., 21, No. 2, 306-329 (1983). A. W. Olbrot, “Control of retarded systems with function space constraints.  ...  Bartosiewicz, "Approximate controllability of neutral systems with delays in control," J. Differential Equations, 51, No. 3, 295-325 (1984). J. K.  ... 

Existence of Solution and Approximate Controllability for Neutral Differential Equation with State Dependent Delay

Sanjukta Das, Dwijendra N. Pandey, N. Sukavanam
2014 International Journal of Partial Differential Equations  
The conditions for approximate controllability are investigated for the neutral second order system with respect to the approximate controllability of the corresponding linear system in a Hilbert space  ...  This paper is divided in two parts. In the first part we study a second order neutral partial differential equation with state dependent delay and noninstantaneous impulses.  ...  The first author would like to thank Ministry of Human Resource and Development with Grant no. MHR-02-23-200-429/304 for their funding.  ... 
doi:10.1155/2014/787092 fatcat:sbx7mpbbobgz3p37bsfvcyhnd4

Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces

Zhixin Tai
2011 Applied Mathematics Letters  
In this work the controllability of fractional impulsive neutral functional integrodifferential systems with a nonlocal Cauchy condition in a Banach space has been addressed.  ...  Sufficient conditions for the controllability are established using fractional powers of operators and the Banach contraction mapping theorem.  ...  Acknowledgments This work was partially supported by the National Natural Science Foundation of PR China under grant contract 60574018.  ... 
doi:10.1016/j.aml.2011.06.018 fatcat:ypmvmcrjffbkznugyenqcnawd4

Page 4910 of Mathematical Reviews Vol. , Issue 87i [page]

1987 Mathematical Reviews  
functional-differential equations, with infinite delays, in an abstract phase space.  ...  We show that the discussion of the local the- ory of functional-differential equations (FD) with infinite delays in an abstract phase space can be converted into a consideration of a local theory for a  ... 

Uniqueness of Optimal Control of Nonlinear Infinite Neutral Functional Differential Systems with Distributed Delays in the Control

Paul Anaetodike Oraekie
2018 Tropical Journal of Applied Natural Sciences  
A ABSTRACT In this paper, Nonlinear Infinitely Neutral Functional Differential Systems with Distributed Delays in the Control was presented for controllability analysis.  ...  The establishment of the uniqueness of the optimal control provided a new approach for the proof of the existence of an optimal control of any dynamical control system.  ...  In the light of this, we shall consider the nonlinear infinite space of Neutral Differential Systems with Distributed Delays in Control of the form: system (1.1) above.  ... 
doi:10.25240/tjans.2018.2.2.03 fatcat:mjqyp2g4pzhzthp3b2vhs2sqou

EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS

HERNÁN R. HENRÍQUEZ, MICHELLE PIERRI, PLÁCIDO TÁBOAS
2008 Bulletin of the Australian Mathematical Society  
This paper is devoted to study the existence and qualitative properties of S-asymptotically ω-periodic mild solutions for some classes of abstract neutral functional differential equations with infinite  ...  A bounded continuous function u : [0, ∞) → X is said to be S-asymptotically ω-periodic if lim t→∞ [u(t + ω) − u(t)] = 0.  ...  To the best of the authors' knowledge, the existence of S-asymptotically ω-periodic mild solutions for abstract functional differential equations (in particular, abstract neutral functional differential  ... 
doi:10.1017/s0004972708000713 fatcat:tfr56addl5fpvopfixjdi5lzdy

Controllability of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay

Yong Li, Qiang Zou
2013 Mathematical Problems in Engineering  
The paper is concerned with the controllability of nonlinear neutral stochastic differential inclusions with infinite delay in a Hilbert space.  ...  Sufficient conditions for the controllability are obtained by using a fixed-point theorem for condensing maps due to O'Regan.  ...  Conclusion In this paper, we have investigated the controllability of stochastic neutral functional differential inclusions in Hilbert spaces.  ... 
doi:10.1155/2013/419156 fatcat:7wuf2l5cyve4ja2an2shmd55hu

Controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with delay and Poisson jumps

Diem Dang Huan, Hongjun Gao, James Lam
2015 Cogent Engineering  
The current paper is concerned with the controllability of nonlocal secondorder impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces  ...  for the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps.  ...  Recently, Park, Balachandran, and Arthi (2009) investigated the controllability of impulsive neutral integro-differential systems with infinite delay in Banach spaces using Schauder-type fixed point  ... 
doi:10.1080/23311916.2015.1065585 fatcat:b4hdd6luezgqflxv6jbaubx74q

Evolution equations with causal operators

Ravi P. Agarwal, Sadia Arshad, Vasile Lupulescu, Donal 'Regan
2015 Differential Equations & Applications  
In this paper we present an existence result for causal functional evolution equations. The result is obtained under a condition with respect to the Hausdorff measure of noncompactness.  ...  An application with partial differential equations is given to illustrate our main result. Mathematics subject classification (2010): 34A07, 34A08.  ...  SANGWIN, Systems of controlled functional differential equations and adaptive tracking, Siam Journal on Control and Optimization, 40, 6 (2002), 1746-1764. [15] T.  ... 
doi:10.7153/dea-07-02 fatcat:o2efegsdyfafpmai6egqzdkvce

Controllability of Fractional Neutral Stochastic Integro-Differential Systems with Infinite Delay

Xichao Sun, Litan Yan, Jing Cui
2013 Mathematical Problems in Engineering  
This paper is concerned with the controllability of a class of fractional neutral stochastic integro-differential systems with infinite delay in an abstract space.  ...  By employing fractional calculus and Sadovskii's fixed point principle without assuming severe compactness condition on the semigroup, a set of sufficient conditions are derived for achieving the controllability  ...  of Anhui Province (no. 1308085QA14), and Key Natural Science Foundation of Anhui Education Commission (no.  ... 
doi:10.1155/2013/316906 fatcat:5bpnqtdeg5ghrowsc362tekrie
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