Continuously initial observability for the fuzzy system

퍼지 시스템에 대한 관측가능성

  • 강점란 (부산시 사하구 하단동 동아대학교 수학과) ;
  • 권영철 (부산시 사하구 하단동 동아대학교 수학과) ;
  • 박종서 (경남 진주시 신안동 진주교육대학교 수학교육학과)
  • Published : 2000.11.01

Abstract

This paper is concerned with fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in E$\_$N/ We study continuously initial observability for the following fuzzy system. x(t)=a(t)x(t)+f(t,x(t)), x(0)=x$\_$0/, y(t)=$\_$${\alpha}$/∏(x(t)), where a: [0, T]\longrightarrowE$\_$N/ is fuzzy coefficient, initial value x$\_$0/$\in$E$\_$N/ and nonlinear funtion f: [0, T]${\times}$E$\_$N/\longrightarrowE$\_$N/ satisfies a Lipschitz condition. Given fuzzy mapping ∏: C([0, T]: E$\_$N/)\longrightarrowY and Y is an another E$\_$N/.

Keywords