• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2003.05a
• /
• pp.5-8
• /
• 2003

This paper we study the exact controllability for the nonlinear fuzzy control system in E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^{n}$ . fuzzy number of dimension n ; fuzzy control ; nonlinear fuzzy control system ; exact controllabilityty

• Journal of applied mathematics & informatics
• /
• v.7 no.3
• /
• pp.969-982
• /
• 2000

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.

• Journal of applied mathematics & informatics
• /
• v.17 no.1_2_3
• /
• pp.623-631
• /
• 2005

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.

• Nonlinear Functional Analysis and Applications
• /
• v.28 no.4
• /
• pp.1115-1125
• /
• 2023

This paper deals with the controllability of linear and nonlinear generalized fractional dynamical systems in finite dimensional spaces. The results are obtained by using fractional calculus, Mittag-Leffler function and Schauder's fixed point theorem. Observability of linear system is also discussed. Examples are given to illustrate the theory.

• Journal of applied mathematics & informatics
• /
• v.30 no.1_2
• /
• pp.173-181
• /
• 2012

In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2001.05a
• /
• pp.39-42
• /
• 2001

This paper we study the exact controllability for the nonlinear fuzzy control system in E$^{2}$$_{N}$ by using the concept of fuzzy number of dimension 2 whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^{2}$.>.

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.1
• /
• pp.1-8
• /
• 2011

The approximate controllability for the nonlinear control system with nonlinear monotone hemicontinuous and coercive operator is studied. The existence, uniqueness and a variation of solutions of the system are also given.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.6 no.1
• /
• pp.15-20
• /
• 2006

In this paper we study the exact controllability for the nonlinear fuzzy control system with nonlocal initial condition in $E_N^n$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in $R^n$. $E_N^n$ be the set of all fuzzy numbers in $R^n$ with edges having bases parallel to axis $X_1,X_2,\;,X_n$.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.13 no.4
• /
• pp.499-503
• /
• 2003

This paper we study the exact controllability for the nonlinear fuzzy control system in $E_N^n$by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in $E_N^n$

• Journal of the Korean Mathematical Society
• /
• v.50 no.1
• /
• pp.17-39
• /
• 2013

The study of nonlinear discrete-time control dynamical systems with disturbance is an important topic in control theory. In this paper, we concentrate our efforts to multiple valued iterative dynamical systems, which model the nonlinear discrete-time control dynamical systems with disturbance. After establishing the validity of such modeling, we study the invariant set theory of the multiple valued iterative dynamical systems, including the controllability/reachablity problems of the maximal invariant sets.