In this paper, the problems of robust stabilization and H∞ control for uncertain stochastic systems with multiple time delays represented by the Takagi-Sugeno (T-S) fuzzy model have been studied. By constructing a new Lyapunov-Krasovskii functional (LKF) and using the bounding techniques, sufficient conditions for the delay-dependent robust stabilization and H∞ control scheme are presented in t...

This paper deals with the problem of delay-dependent H∞ filtering for singular time-delay systems. First, a new delay-dependent condition which guarantees that the filter error system has a prescribed H∞ performance γ is given in terms of linear matrix inequalities LMIs . Then, the sufficient condition is obtained for the existence of theH∞ filter, and the explicit expression for the desiredH∞ ...

Synthesizing a gain-scheduled output feedback H∞ controller via parameter-dependent Lyapunov functions for linear parameter-varying (LPV) plant models involves solving an infinite number of linear matrix inequalities (LMIs). In practice, for affine LPV models, a finite number of LMIs can be achieved using convexifying techniques. This paper proposes an alternative approach to achieve a finite n...

This paper is concerned with the robust stability of uncertain neutral-type Lur’e system with interval time-varying delays and sector-bounded nonlinearities. By use of augmented Lyapunov-Krasovskii functional (LKF) and delay-partitioning techniques, delay-dependent robust stability criteria are proposed in terms of linear matrix inequalities (LMIs) without using the general free-weighting matri...

Linear matrix inequalities (LMIs) prove to be a useful tool for solving several analysis and design problems in linear systems control. However, LMI techniques have mainly been used conjointly with state-space methods. The aim of this paper is to survey several recent achievements that tend to prove that LMI feasibility and optimization problems also arise when dealing with control problems for...

The problem of finite-time stabilization for networked control systems with both sensor-to-controller and controller-to-actuator packet dropouts is investigated in this paper.By using the iterative approach, the NCSs with bounded packet dropout is modeled as switched linear systems. Sufficient conditions for finitetime stabilization of the underlying systems are derived via linear matrix inequa...

This paper is dedicated to the study of stochastic finite-time stability (SFTS) and control synthesis for a class of nonlinear Markovian jump stochastic systems with impulsive effects. By introducing a time-varying stochastic Lyapunov function with discontinuities at impulse times, an improved criterion for SFTS is derived in terms of linear matrix inequalities (LMIs). Based on the new SFTS cri...

This paper deals with the global asymptotic stability problem for Hopfield neural networks with time-varying delays. By resorting to the integral inequality and constructing a Lyapunov-Krasovskii functional, a novel delay-dependent condition is established to guarantee the existence and global asymptotic stability of the unique equilibrium point for a given delayed Hopfield neural network. This...

Generalized H2 (GH2) stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities (LMIs). The interactions among the fuzzy subsystems are considered. Therefore, the propo...

In this note, we discuss fast randomized algorithms for determining an admissible solution for robust linear matrix inequalities (LMIs) of the form ( ) 0, where is the optimization variable and is the uncertainty, which belongs to a given set . The proposed algorithms are based on uncertainty randomization: the first algorithm finds a robust solution in a finite number of iterations with probab...