Xiaodi Li’s research while affiliated with Shandong Normal University and other places

This article considers exponential stabilization (ES) of switched interval type‐2 (SIT2) fuzzy systems with asynchronous switching control. The SIT2 fuzzy system switches from one mode to another according to transition probabilities (TPs). A general SIT2 fuzzy quantized event‐triggered output controller (QETOC) is designed to save the communication resources. The QETOC employs distinctive membership functions from those of the IT2 fuzzy model and switches with mode‐pendent switching delay, which is more practical than asynchronously switched control techniques with a common switching delay and control schemes without TP. By designing discretized multiple Lyapunov function (DMLF) and using convex combination technique, sufficient conditions formulated by linear matrix inequalities (LMIs) are obtained to ensure that the DMLF does not ‘jump high’ at the moment of switching, and hence the conservatism of obtained results is significantly reduced since no additional dwell time is needed for the stabilization. It is discovered that the SIT2 fuzzy system is not necessary to be unstable on mismatched intervals, and it can be unstable on matched intervals. The advantages of theoretical analysis are verified by numerical simulations, and the classical assumption that each subsystem is unstable on mismatched intervals is conservative for control design.

This paper studies the local finite-time stability for a class of time-delay systems. Some Lyapunov-based sufficient conditions are proposed in the framework of finite time, where a potential connection between time delay and system parameters for local FTS is established. An estimate of the upper bound of the settling time depending on the time delay is derived. Examples are given to illustrate the effectiveness of the proposed results. Especially, a finite-time stabilizing memoryless controller for a class of second-order systems with time-varying delay is proposed.

Dear Editor, This letter studies the input-to-state stability (ISS) for a class of impulsive switched systems, where uncertain impulse-switching moments are involved. The robustness of ISS with respect to the perturbations of the occurrence time of impulse-switching moments is revealed by several less conservative dwell-time conditions for the uncertain impulse-switching moments combined with Lyapunov conditions. Moreover, the Lyapunov conditions have multiple coefficients at discrete time so as to handle the hybrid effect of impulseswitching moments, and the case that time derivative of Lyapunov function is indefinite is also taken into account. Finally, a numerical example is proposed to illustrate the effectiveness of the theoretical results.

This article focuses on the stability issue of switched network control systems (SNCSs) under deception attacks described by a Bernoulli process with unknown probability distribution. The false information in deception attacks is unknown but bounded and may be state dependent or state independent. By means of the input-to-state stability (ISS) tool and the convex combination method, an improved lemma is first developed for SNCSs, which facilitates the derivations of our results. After that, some attack-independent sufficient conditions for the ISS of SNCSs are obtained for mode-dependent average dwell time switching and stochastic switching, respectively. Different from existing results, the concerned switching contributes to the stability of SNCSs, which benefits the ISS performance of SNCSs even though the unknown deception attacks cause all subsystems to be non-ISS. The proposed results provide an effective solution with strong robustness to deal with unknown deception attacks or denial-of-service attacks.

Dear Editor, This letter studies finite-time input-to-state stability (FTISS) for impulsive switched systems. A set of Lyapunov-based conditions are established for guaranteeing FTISS property. When constituent modes governing continuous dynamics are FTISS and discrete dynamics involving impulses are destabilizing, the FTISS can be retained if impulsive-switching signals satisfy an average dwell-time (ADT) condition. When some or even all constituent modes governing continuous dynamics are not FTISS and discrete dynamics involving impulses are stabilizing, the FTISS can be achieved if impulsive-switching signals satisfy a reverse ADT condition. Examples are presented to illustrates the efficiency of proposed results. Introduction: Many practical systems can be modeled by hybrid systems which involve both discrete-time and continuous-time behaviors [1], [2]. Switched systems and impulsive systems are two general classes of hybrid systems. Switched systems involve a finite number of constituent modes and a switching signal orchestrating the switching between them [3], while impulsive systems depict real world processes that generate instantaneous state resets at discrete times [4]. Impulsive switched system, as a more comprehensive dynamical system, involves impulses and switching in a single framework [5]. Such system, as it is known, does not retain the property of constituent mode. Besides, the impulses governing the instantaneous state changes often divide into two classes: destabilizing impulses and stabilizing impulses [6], [7]. In that scenario, a suitable choice of impulsive-switching signal plays an important role in guaranteeing stability or robustness for impulsive switched systems.