State analysis of time-varying singular nonlinear systems using Legendre wavelets

State analysis of time-varying singular nonlinear systems using Legendre wavelets

In this paper, the Legendre wavelet method for State analysis of time-varying singular nonlinear systems is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique have been discussed. Illustrative examples have been given to demonstrate...

A Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets

Admissibility 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...

State Analysis and Optimal Control of Linear Time-Invariant Scale Systems Using the Legendre Wavelets

A new approach to find the approximate solution and the optimal control of linear time-invariant scaled systems using the Legendre wavelets is proposed. The operational matrix of stretch is derived and together with the operational matrix of integration have been used to change the system of state equations into a set of algebraic equations which can be solved using a digital computer. The appr...

a computational method for solving optimal control problem of time-varying singular systems using the haar wavelets