Global Exponential Stability of Learning-Based Fuzzy Networks on Time Scales
نویسندگان
چکیده
منابع مشابه
Global Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays
In this paper, a bidirectional ring network with three cells and different time delays is presented. To propose this model which is a good extension of three-unit neural networks, coupled cell network theory and neural network theory are applied. In this model, every cell has self-connections without delay but different time delays are assumed in other connections. A suitable Lyapun...
متن کاملGlobal Exponential Stability of Delayed Cohen-Grossberg BAM Neural Networks with Impulses on Time Scales
Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium point of Cohen-Grossberg bidirectional associative memory BAM neural networks with distributed delays and impulses on time scales. This is the firs...
متن کاملGlobal exponential stability of competitive neural networks with different time scales
The dynamics of cortical cognitive maps developed by self-organization must include the aspects of long and short-term memory. The behavior of such a neural network is characterized by an equation of neural activity as a fast phenomenon and an equation of synaptic modification as a slow part of the neural system. We present a new method of analyzing the dynamics of a biological relevant system ...
متن کاملExponential Stability of Linear Time-Invariant Systems on Time Scales
Several notions of exponential stability of linear time-invariant systems on arbitrary time scales are discussed. We establish a necessary and sufficient condition for the existence of uniform exponential stability. Moreover, we characterize the uniform exponential stability of a system by the spectrum of its matrix. In general, exponential stability of a system can not be characterized by the ...
متن کاملExponential Stability of Dynamic Equations on Time Scales
In this work we investigate the exponential stability of the zero solution to systems of dynamic equations on time scales. We define suitable Lyapunov-type functions and then formulate appropriate inequalities on these functions that guarantee that the zero solution decay to zero exponentially. Several examples are given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2015
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2015/283519