Fuzzy systems of linear equations play a vital role in various applications of engineering, science and finance problems. This paper proposes a new method for solving Fully Fuzzy System of Linear Equations (FFSLE) using the linear programming problem approach. There is no restriction on the elements of coefficient matrix. The proposed method is able to solve the system, when the elements of the...

In this paper, a new algorithm based on model following technique has been presented for a Fuzzy sliding mode control. The proposed technique enables designing of fuzzy controller based on time domain specifications and the response of the fuzzy control law can be properly shaped on a sound mathematical footing. The new fuzzy control law leads to appreciable reduction of number of fuzzy rules a...

The paper presents the way to use Lyapunov techniques to analyse and to assure stability of control systems with fuzzy PI controllers. The stability is assured based on a compensation of the input-output characteristic of the fuzzy blocks used in PI fuzzy controller. The compensation is made on fuzzy control law by the action in parallel of a crisp block for non-linear parts of input saturation...

We discuss a number of novel issues in the interdisciplinary area of numerical linear algebra and control theory. Although we do not claim to be exhaustive we give a number of problems which we believe will play an important role in the near future. These are : sparse matrices, structured matrices, novel matrix decompositions and numerical shortcuts. Each of those is presented in relation to a ...