New delay-dependent stability analysis for fuzzy time-delay interconnected systems
- Resource Type
- Authors
- Chuangyin Dang; Guanjie Yu; Hongbin Zhang; Qiong Huang
- Source
- International Journal of General Systems. 42:739-753
- Subject
- Adaptive neuro fuzzy inference system
Mathematical optimization
Stability criterion
Stability (learning theory)
Fuzzy logic
Computer Science Applications
Theoretical Computer Science
Weighting
Set (abstract data type)
Exponential stability
Control and Systems Engineering
Control theory
Modeling and Simulation
Fuzzy associative matrix
Information Systems
Mathematics
- Language
- ISSN
- 1563-5104
0308-1079
This paper investigates the delay-dependent stability of continuous-time fuzzy interconnected systems with time-varying delays. The fuzzy interconnected system consists of interconnected continuous-time Takagi–Sugeno fuzzy subsystems. A stability criterion based on fuzzy Lyapunov–Krasovskii functional is proposed to guarantee the asymptotic stability of fuzzy time-delay interconnected systems. In the derivation process, some free fuzzy weighting matrices are introduced among the terms of the system equation to yield less conservative results. The proposed stability criterion can be obtained by solving a set of linear matrix inequalities that are numerically feasible. Finally, two numerical examples are provided to demonstrate the effectiveness of the present method.