Abstract
In this paper, we study the ε-approximate controllability for the semilinear fuzzy integrodifferential control system in fuzzy vector space. This is an extension of result of Kwun et al.[4] to n-dimensional fuzzy vector space.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
George, R.K.: Approximate controllability of semilinear systems using integral contractors. Numerical Functional Analysis and Optimization 16, 127–138 (1995)
Kwun, Y.C., Park, D.G., Kang, W.K.: Approximate controllability for semilinear delay integrodifferential equations with nonlocal initial value. Indian Journal Pure Application and Mathematics 31, 1607–1617 (2000)
Kwun, Y.C., Kim, J.S., Park, M.J., Park, J.H.: Nonlocal controllability for the semilinear fuzzy integrodifferential equations in n-dimensional fuzzy vector space. Advances in Difference Equations 2009, Article ID 734090, 16pages (2009)
Kwun, Y.C., Kim, J.S., Park, M.J., Park, J.H.: ε-Approximate controllability for the semilinear fuzzy integrodifferential equations. J. Comp. Anal. Appl. 12, 1171–1179 (2011)
Naito, K.: Approximate controllability for trajectories of semilinear control system. J. Optimization Theory and Applications 60, 57–65 (1989)
Park, J.Y., Han, H.K., Kwun, Y.C.: Approximate controllability of second order integrodifferential systems. Indian Journal Pure Application and Mathematic. 29, 941–950 (1998)
Zhou, H.X.: Approximate controllability for a class of semilinear abstract equations. Siam J. Control and Optimization 21, 551–565 (1983)
Wang, G., Li, Y., Wen, C.: On fuzzy n-cell number and n-dimension fuzzy vectors. Fuzzy Sets and Systems 158, 71–84 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag GmbH Berlin Heidelberg
About this paper
Cite this paper
Koo, J.H., Lee, Y.G., Kwun, Y.C., Park, J.H. (2012). Approximate Controllability for the Semilinear Fuzzy Integrodifferential Equations in n-Dimensional Fuzzy Vector Space. In: Zhang, T. (eds) Mechanical Engineering and Technology. Advances in Intelligent and Soft Computing, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27329-2_21
Download citation
DOI: https://doi.org/10.1007/978-3-642-27329-2_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27328-5
Online ISBN: 978-3-642-27329-2
eBook Packages: EngineeringEngineering (R0)