Time-varying system theory for computational networks
نویسندگان
چکیده
Many computational schemes in Linear Algebra can be studied from the point of view of TimeVarying Linear Systems theory. This approach not only puts a variety of results in a unified framework, but also generates new and unexpected results such as strong approximations of operators or matrices by computational networks of low complexity, and the embedding of contractive operations in orthogonal computations. In the present paper we develop the required Time-Varying System Theory in a systematic way, and derive a Kronecker or HoKalman type realization method.
منابع مشابه
Synchronization criteria for T-S fuzzy singular complex dynamical networks with Markovian jumping parameters and mixed time-varying delays using pinning control
In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory.The complex dynamical systems consist of m nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probabili...
متن کاملFINITE-TIME PASSIVITY OF DISCRETE-TIME T-S FUZZY NEURAL NETWORKS WITH TIME-VARYING DELAYS
This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...
متن کاملRobust stability of stochastic fuzzy impulsive recurrent neural networks with\ time-varying delays
In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...
متن کاملA Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets
متن کامل
An Analytical Solution for Temperature Distribution and Thermal Strain of FGM Cylinders with Varying Thickness and Temperature-Dependent Properties Using Perturbation Technique
This research presents temperature distribution and thermal strain of functionally graded material cylinders with varying thickness and temperature-dependency properties that are subjected to heat fluxes in their inner and outer layers. The heterogeneous distribution of properties is modeled as a power function. Using first-order temperature theory and the energy method, governing equations are...
متن کامل