Fuzzy Merging Algorithm with Lyapunov Theory for Non-linear Systems
نویسنده
چکیده
In this paper, Lyapunov Theory is combining with fuzzy merging algorithm to solve the non-linear solutions. The non-linear points are found using fuzzy c-means merging by reciprocating the distance. The Gaussian weights are used in combining the fuzzy merging with Lyapunov Theory. A vector equals the centers of two points; the weights are concentrated mostly on widely distributed region than the points in central regions. This provides the ideal solution for non-linear points by collecting the values associated with distributed regions.
منابع مشابه
REGION MERGING STRATEGY FOR BRAIN MRI SEGMENTATION USING DEMPSTER-SHAFER THEORY
Detection of brain tissues using magnetic resonance imaging (MRI) is an active and challenging research area in computational neuroscience. Brain MRI artifacts lead to an uncertainty in pixel values. Therefore, brain MRI segmentation is a complicated concern which is tackled by a novel data fusion approach. The proposed algorithm has two main steps. In the first step the brain MRI is divided to...
متن کاملFuzzy Lyapunov stability and exponential stability in control systems
Fuzzy control systems have had various applications in a wide range of science and engineering in recent years. Since an unstable control system is typically useless and potentially dangerous, stability is the most important requirement for any control system (including fuzzy control system). Conceptually, there are two types of stability for control systems: Lyapunov stability (a special case ...
متن کاملDesign of Robust Fuzzy Controllers for Uncertain Nonlinear Systems
This thesis deals with the analysis and design of robust fuzzy controllers for uncertain nonlinear systems using Takagi-Sugeno (T-S) model based approach. A T-S fuzzy model is used here to approximate the uncertain nonlinear systems where the nominal model and uncertain terms of the consequent parts of the fuzzy model are identified by a linear programming approach and then they are expressed i...
متن کاملAdmissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model
This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...
متن کاملControl for Uncertain Discrete-Time Delay Fuzzy Systems
Problems of stability and H∞ control for discrete-time T-S fuzzy systems with state delay and uncertainties are discussed. A new delay-dependent stability criterion is first proposed by defining an appropriate Lyapunov function. Then, the sufficient conditions for the existence of H∞ fuzzy state-feedback controller is investigated in terms of linear matrix inequality(LMI). Finally, an iterative...
متن کامل