Let M be an s ×t matrix and let M T be the transpose of M . Let x and y be t − and s −dimensional indeterminate column vectors, respectively. We show that any linear algorithm A that computes M x has associated with it a natural dual linear algorithm denoted A T that computes M T y . Furthermore, if M has no zero rows or columns then the number of additions used by A T exceeds the number of add...

This paper, deals with an indirect adaptive fuzzy control of discrete-time MIMO nonlinear systems with parametric variations. The synthesis of the state feedback control law is based on the T-S fuzzy models developed by a local description of the considered system. In the first step, gradient method is used to adjust model parameters locally estimated by the fuzzy model. The state feedback cont...

In this paper, we consider the fuzzy model-based designs for the complete synchronization of chaotic systems. T-S fuzzy model for chaotic systems are exactly derived. Based on the T-S fuzzy model, the fuzzy logic controllers for chaotic synchronization are designed via Linear Matrix Inequality (LMI). Lyapunov Exponent of lorenz system is calculated, one of them is positive which represents the ...

This paper presents the robust design for chaotic cryptosystems. The cryptosystem combines cryptograph with chaotic synchronization. The hyperchaotic signals are synchronized between the encrypter and the decrypter based on observer gains. The technique of linear matrix inequality (LMI) is applied to determine the observer gains. A theorem has been proposed to guarantee the robust stabilization...

This paper proposes a passive fuzzy controller design for the discrete ship steering system that is represented by the Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. Applying the Lyapunov theory for guaranteeing mean square stability, the sufficient conditions are developed to design the fuzzy controller for the T-S fuzzy model with multiplicative noises. The sufficient conditions ...