Showing papers in "Nonlinear Analysis: Hybrid Systems in 2017"

TL;DR: Two novel approaches, sampling-instant-to-present-time fragmentation and free-matrix-based time-dependent discontinuous Lyapunov approach, are proposed for the first time and ensure the master–slave synchronization of chaotic Lur’e systems under larger sampling period than remarkable existing works.

TL;DR: In this article, a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects was proposed and its dynamics were investigated, and it was shown that the system has a unique periodic solution which is globally attractive.

TL;DR: The proposed stability conditions characterize the pointwise decrease of a linear copositive Lyapunov function and are formulated in terms of finite-dimensional or semi-infinite linear programs for which three asymptotically exact computational methods are proposed and compared with each other on numerical examples.

TL;DR: In this paper, the authors considered input-to-state stability (ISS) characterization for a class of impulsive systems which jump map depends on time and provided sufficient conditions in terms of exponential ISS-Lyapunov functions equipped with an appropriate dwell-time condition for establishing ISS property.

TL;DR: A Markov jump event-triggered retarded dynamic output feedback H ∞ controller is designed in this paper to guarantee the considered closed-loop system is stochastically stable with a prescribed H∞ performance level.

TL;DR: In this paper, the authors studied the pinning impulsive synchronization problem for a class of complex dynamical networks with time-varying delay and derived a sufficient verifiable criterion for the synchronization of delayed complex dynamic networks with small delay.

TL;DR: In this paper, an event-triggered sampling information scheme was proposed for reliable dissipative control of Markov jump systems by using integral inequalities to dispose of reducing the conservatism of the obtained delay-dependent conditions.

TL;DR: In this paper, the problem of exponential synchronization of Markovian jumping chaotic neural networks with saturating actuators using a sampled-data controller was solved by constructing a proper Lyapunov-Krasovskii functional with triple integral terms, and employing Jensen's inequality.

TL;DR: In this paper, the authors studied the stability of switched time-varying systems with bounded delays and nonlinear disturbances and established explicit criteria for exponential stability of the system under arbitrary switching in terms of Metzler matrices.

TL;DR: In this article, the synchronization of stochastic coupled systems via feedback control based on discrete-time state observations (SCSFD) is investigated. And a global Lyapunov function of SCSFD is presented, which derives sufficient criteria to guarantee the synchronisation of drive-response systems in the sense of mean-square asymptotical synchronization.

TL;DR: In this paper, the problem of finite-time boundedness, L 2 gain analysis and control of Markovian jump switched neural networks (MJSNNs) with additive time-varying delays is addressed.

TL;DR: In this article, an event-triggered mechanism and a quantization scheme are designed to reduce the occupancy of the limited network resources, and the measured output is directly transmitted to the event generator, whether the released signal can be sent out to the controller through the quantizer depends on the triggering condition.

TL;DR: In this article, a robust multi-objective optimal switching control model was proposed to simultaneously maximize 1,3-propanediol (1,3)-productivity and yield under time-delay uncertainty.

TL;DR: In this article, neutral stochastic delayed hybrid systems with Levy noise (NSDHSs-LN) were considered and the almost sure stability with general decay rate was investigated.

TL;DR: In this article, an adaptive fuzzy output-feedback control design with output constrained is investigated for a class of switched uncertain nonlinear large-scale systems with unknown dead zones and immeasurable states.

TL;DR: In this article, an anti-windup compensator is designed such that the resulting system with mode-dependent time-varying delays and saturating actuator is stochastically stable and the domain of attraction is maximized.

TL;DR: In this paper, a new summation inequality was proposed to improve the conservatism in the stability analysis for discrete-time systems with time-varying delay, and the proposed inequality was applied to a stability problem in discrete time switched systems.

TL;DR: In this paper, reliable control design for a switched system (SS) described by T-S fuzzy model subject to actuator failures and mode-dependent time-varying delay is addressed.

TL;DR: The α -exponential stability analysis and l 1 controller synthesis of positive Takagi–Sugeno fuzzy discrete-time systems with time-varying delays are discussed in this paper.

TL;DR: Results show that, for small impulse delays, the hybrid consensus protocols can solve the consensus problem if the union of continuous-time and impulsive-time interaction digraphs contains a spanning tree frequently enough.

TL;DR: In this article, the authors derived a measure for model parameter mismatch and showed that a bounded measure leads to an ultimate bound on the Lyapunov function (CLF) of a model-based controller.

TL;DR: In this paper, a distributed consensus problem for a class of multi-agent chaotic systems with unknown time delays under switching topologies and directed intermittent communications is investigated, where each agent is modeled as a general nonlinear system including many chaotic system with or without time delays.

TL;DR: In this article, the impulsive consensus problem for multi-agent systems is investigated and sufficient conditions of almost sure consensus are proposed when the switching structures are the independent process or the Markov process.

TL;DR: In this article, the stability of switched nonlinear time-delay systems with stable and unstable subsystems is investigated by resorting to novel inequality technique and average dwell time approach, which relax the assumptions that all subsystem matrices are commutative pairwise and Hurwitz stable.

TL;DR: Based on an improved conjugate gradient algorithm and a discrete filled function method, an improved bi-level algorithm is proposed to solve this optimization problem of switched systems with input and state constraints and results indicate that the proposed algorithm is globally convergent.

TL;DR: In this article, the problem of stochastic stabilization for a class of discrete-time singular Markovian jump systems with time-varying delay is investigated by using the Lyapunov functional method and delay decomposition approach, which guarantee the considered systems to be regular, causal and stochastically stabilizable.

TL;DR: In this article, a sufficient condition expressed in terms of tractable matrix inequalities is established to design a min-projection switching rule that makes the 2D switched system asymptotically stable.

TL;DR: In this paper, an input-to-state stability (ISS) of large-scale networked control systems (NCSs) in which sensors, controllers and actuators are connected via multiple (local) communication networks which operate asynchronously and independently of each other is studied.

TL;DR: It is shown that the class of switching signals under which the resulting switched system is globally asymptotically stable also extends to the continuous-time setting with minor modifications under standard assumptions.

TL;DR: In this article, the authors proposed a method to select stabilizing feedback controllers for hybrid periodic orbits from a family of parameterized control laws by solving offline optimization problems, which can be applied to mechanical systems with high degrees of freedom (DOF).