Alternative LMI Conditions for Takagi-Sugeno Systems Via Fuzzy Lyapunov Function This paper deals with the stability analysis and control design for continuous Takagi-Sugeno fuzzy systems in a linear matrix inequality (LMI) framework. New LMI stability conditions are obtained by applying a relaxation strategy in a recently proposed fuzzy Lyapunov function. In these new LMI stability conditions,...

this paper addresses adaptive observer design problem for joint estimation of the states and unknown parameters for a class of nonlinear systems which satisfying one-sided lipschitz and quadratic inner bounded conditions. it’s shown that the stability of the proposed observer is related to finding solutions to a quadratic inequality consists of state and parameter errors. a coordinate transform...

In this paper, the problem of asymptotical stability of neutral systems with nonlinear perturbations is investigated. Based on a class of novel augment Lyapunov functionals which contain freeweighting matrices, some new delay-dependent asymptotical stability criteria are formulated in terms of linear matrix inequalities (LMIs) by using new inequality analysis technique. Numerical examples are g...

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...

The robust stabilization is studied for two dimensions discrete time singular systems described by the second FornasiniMarchesini models (2-D SFMMII) with uncertainty parameters. A new sufficient condition of the robust stabilization of 2-D SFMM-II is presented. Based on this new criterion a desired state feedback controller can be constructed by solving a set of linear matrix inequality (LMI) ...

In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

This paper introduces a new hierarchy for controlling dynamical systems. The new control hierarchy uses supervised neural network to identify certain parameters of the transformed system matrix [ A ]. Then, Linear Matrix Inequality (LMI) is used to determine the permutation matrix [P] so that a complete system transformation {[ B~ ], [ C ], [ D~ ]} is performed. The transformed model is then re...

This paper presents a stability criterion for global asymptotic stability of the equilibrium point for Bidirectional Associative Memory (BAM) neural networks with fixed time delays. An approach combining the Lyapunov-Krasovskii functional with Linear Matrix Inequality (LMI) is taken to investigate the stability of the system. A delay-dependent LMI criterion is derived. Finally, a numerical exam...

This paper introduces a new method of intelligent control to control the Buck converter using newly developed small signal model of the pulse width modulation (PWM) switch. The new method uses recurrent supervised neural network to estimate certain parameters of the transformed system matrix [ A ~ ]. Then, a numerical algorithm used in robust control called linear matrix inequality (LMI) optimi...

Farkas’ lemma is a fundamental result from linear programming providing linear certificates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly infeasible linear matrix inequalities. We provide nonlinear algebraic certificates for all infeasible linear matrix inequalities in the spirit of real algebraic geometry. Mor...