This paper is concerned with stabilization problem of continuous-time Takagi-Sugeno fuzzy systems. To do this, the stabilization problem is investigated based on the new fuzzy Lyapunov functions (NFLFs). The NFLFs depend on not only the fuzzy weighting functions but also their first-time derivatives. The stabilization conditions are derived in terms of linear matrix inequalities (LMIs) which ca...

Many control techniques employ on-line optimization in the determination of a control policy. We develop a framework which provides suucient convex conditions, in the form of Linear Matrix Inequalities (LMIs), for the analysis of constrained quadratic based optimization schemes. These results encompass standard robustness analysis problems for a wide variety of receding horizon control schemes,...

In this paper, a new class of composite systems, called switched composite systems, whose subsystems are switched systems is proposed. This class of systems can be viewed as a natural extension of both composite systems and switched systems. We design decentralized switching laws for this class of systems to be asymptotically stable. For general composite systems, decentralized hybrid state fee...

This paper is concerned with the output feedback stabilization problem of networked control systems (NCSs) with random communication delays. Mean-square stability is derived for the closed-loop NCSs. Based on this, the one-mode-dependent output feedback controller is designed, and the explicit expressions of the controller gains are obtained in terms of linear matrix inequalities (LMIs). A nume...

The issue of the robust exponential passivity analysis for uncertain neutral-type neural networks with mixed interval time-varying delays is discussed in this work. For our purpose, lower bounds are allowed to be either positive or zero adopting combination model transformation, various inequalities, reciprocally convex combination, and suitable Lyapunov–Krasovskii functional. A new criterion r...

This paper considers the design of static and fixed-order dynamic output feedback controllers for discrete-time Lur’e systems with sector-bounded nonlinearities and polytopic parametric uncertainty. Controller design equations are derived for systems with multiple states, outputs, and nonlinearities in terms of linear matrix inequalities (LMIs). The design methods are based on parameter-depende...

In this paper, robust H∞ control for fractional-order switched systems (FOSSs) with uncertainty is studied. Firstly, the switching law FOSSs proposed. Then, proven based on and linear matrix inequalities (LMIs). Moreover, a state feedback controller extended. Furthermore, LMI-based condition of proven. proposed to design controller. Finally, four simulation examples verified effectiveness metho...

This paper considers the l2-l∞ filter problem for discrete time-delay Markovian jump neural networks. Attention is focused on the design of a reduced-order filter to guarantee stochastic stability and a prescribed l2-l∞ performance for the filtering error system. In terms of linear matrix inequalities (LMIs), a delay-dependent sufficient condition for the solvability of the addressed problem is...

This article concerns the question: which subsets of R can be represented with Linear Matrix Inequalities, LMIs? This gives some perspective on the scope and limitations of one of the most powerful techniques commonly used in control theory. Also before having much hope of representing engineering problems as LMIs by automatic methods one needs a good idea of which problems can and cannot be re...

The robust stability of uncertain discrete-time recurrent neural networks with time-varying delay is investigated. By decomposing some connection weight matrices, new Lyapunov-Krasovskii functionals are constructed, and serial new improved stability criteria are derived. These criteria are formulated in the forms of linear matrix inequalities LMIs . Compared with some previous results, the new ...