The mainobjective of this research is to study the stability thenon-lineardynamical system by using linearization technique three dimension systems toobtain an approximate linear and find its stability. We apply reaches public non dynamical dimension. Finally, some proposed examples (example (1) example (2)) are given explain used corollary.

This paper is devoted to the numerical computation of algebraic linear systems involving several matrix power functions; that finding x solution $$\sum _{\alpha \in \mathbb {R}}A^{\alpha }x=b$$ . These will be referred as Generalized Fractional Algebraic Linear Systems (GFALS). In this paper, we derive gradient methods for solving these very computationally complex problems, which themselves re...

A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...

nowadays, it has demonstrated that viruses can be transmitted by water and foods. therefore, it causes the research to develop for detecting different viruses in water and foods. among foods, milk can transfer potentially pathogenic viruses. on the other hand, to achieve every method for recovery and extraction of viruses in raw milk it needs to know about impact of milk components on viruses. ...

The spline collocation method  is employed to solve a system of linear and nonlinear Fredholm and Volterra integro-differential equations. The solutions are collocated by cubic B-spline and the integrand is approximated by the Newton-Cotes formula. We obtain the unique solution for linear and nonlinear system $(nN+3n)times(nN+3n)$ of integro-differential equations. This approximation reduces th...