This paper addresses the problem of observer design for discrete-time descriptor systems by using a new concept of dynamical observer. The advantage of this new concept is the structure of this dynamical observer, which is more general than the Proportional-Integral observer and the Proportional observers. The sufficient and necessary conditions for the stability of the proposed dynamical obser...

This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for discrete impulsive switched systems with state delays. Sufficient conditions are presented for the existence of IO-FTS for such systems under the cases of certain switching, arbitrary switching, and uncertain switching. All the obtained results are formulated in a set of linear matrix inequalities (LMIs)...

This paper proposes a delay-dependent leader-following consensus condition of multi-agent systems with both communication delay and probabilistic self-delay. The proposed methods employ a suitable piecewise Lyapunov-Krasovskii functional and the average dwell time approach. New consensus criterion for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily ...

⎯The passivity and feedback passification problems of fuzzy systems with parameter uncertainties and impulse are first presented in this paper. Based on the parallel distributed compensation (PDC) technique, some passivity and passification conditions are proposed in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the correctness and effectiveness of our theoret...

In this paper, the robust synchronization problem of a uncertain complex dynamical network with Markovian jumping topology via pinning sampled-data control is investigated. In order to make full use of the sawtooth structure characteristic of the sampling input delay, a discontinuous Lyapunov functional is used based on the Extended Wirtinger Inequality. By utilizing Finsler’s lemma, a new stab...

An approach to model reduction of LTI systems using Linear Matrix Inequalities (LMIs) in an H∞ framework is presented, where non-convex constraints are replaced with stricter convex constraints thus making it suboptimal. The presented algorithms are compared with the Optimal Hankel reduction algorithm, and are shown to achieve better results (i.e lower H∞-errors) in cases where some of the Hank...

This paper is devoted to the study of the coordinate stability in undirected networks of dynamical agents with time-varying transmission delay. Neighbor-based rules are adopted to realize local control strategies for these continuous-time autonomous agents. Sufficient and necessary conditions in terms of linear matrix inequalities (LMIs) are given to guarantee the coordination of dynamical agen...

This paper addresses the problem of H∞ fuzzy observer-based non-PDC controller design for uncertain T-S fuzzy systems with external disturbances. The synthesis of the observer-based controller is based on a fuzzy Lyapunov function and the descriptor redundancy approach. Moreover, the design is extended for the problem with control constraint. The observer and controller gains are obtained by so...

This paper studies the problem of delay-range-dependent stability for continuous-time system with interval delay. Based on the dividing of the delay and reciprocally convex combination technique, some new delaydependent stability conditions are derived by constructing a novel Lyapunov functional. These criteria are expressed as a set of linear matrix inequalities (LMIs), which can be checked us...

A procedure for identifying a linear MIMO model with LFT-type uncertainty is presented. The uncertainty is minimized subject to the requirement that known input-output data do not invalidate the model. The optimization problem is solved stepwise. First, the uncertainty is minimized frequency-byfrequency with respect to the sampled frequency response of a nominal model subject to data-matching c...