Showing papers in "Nonlinear Analysis: Hybrid Systems in 2020"

TL;DR: It is proved that the designed controllers of subsystems can ensure that all the closed-loop signals are bounded under a class of switching signals with average dwell time, while the tracking error can converge to a small area of the origin in a finite time.

TL;DR: It is proved that the Zeno-behavior is avoided and two synchronization criteria for MCNs with input mode delay and Markovian directed communication are established.

TL;DR: The design of finite-time mixed H ∞ and passive asynchronous filter for T–S fuzzy singular Markov jump systems with general transition rates under the dynamic event-based scheme is discussed and a numerical instance is employed to demonstrate the correctness and effectiveness of the developed technique.

TL;DR: Under fractional differential inclusion framework, by means of Lyapunov functional approach and Clarke's non-smooth analysis technique, the sufficient conditions with respect to the global consensus are achieved and a principle of convergence in finite-time for absolutely continuous functions is developed.

TL;DR: Because of using the established differential inequalities, the conditions on the delay-related parameters affecting the exponential convergence rate are weakened, which results in the exponential synchronization criteria obtained in this paper being less conservative than those in the existing literature.

TL;DR: A methodology to exploit machine learning techniques in order to build a Switching Affine dynamical model (deterministic and Markovian) of a large-scale system using historical data, and apply Model Predictive Control is proposed.

TL;DR: In this paper, the stability of delay coupled oscillators with hybrid switching diffusions was investigated. And the authors derived an upper bound of the Lyapunov exponent for delay coupled systems.

TL;DR: The considered classes of impulse-time sequences are substantially broader than other previously considered classes, such as those having fixed or (reverse) average dwell times, or impulse frequency achieving uniform convergence to a limit (superior or inferior).

TL;DR: Different from the existing methods of fixed impulsive consensus of multi-agent systems, the proposed impulsive control protocol with odd impulse sequence is more effective and flexible in real systems.

TL;DR: The sufficient conditions are developed to ensure the finite-time fault-tolerant stochastic stability of the faulty NCS, and the fault-Tolerant controllers are designed by solving a feasibility problem in terms of linear matrix inequalities (LMIs).

TL;DR: This paper concentrates on solving the finite-time bounded control problem for a family of discrete-time Takagi–Sugeno fuzzy Markov jump systems with a memory state feedback controller with a more practical actuator fault model to tolerate the time-varying faults.

TL;DR: In this article, a novel average dwell time approach was proposed to reduce the conservativeness of stability results for discrete-time switched linear systems with stable and unstable modes by using linear matrix inequalities.

TL;DR: In this paper, the authors investigated the stability of totally positive switched linear systems (TPSLSs) for the continuous-time case and the discrete-time cases, and derived the exponential stability of the considered system with average dwell time.

TL;DR: A dynamic event-triggered mechanism is introduced to monitor the data transmission from system plant to controller, which can lead to a smaller amount of data transmission and thus a higher efficiency of the communication resource.

TL;DR: In this paper, the stability of stochastic nonlinear discrete-time impulsive systems with time delay and Markov jumps is investigated and several stability criteria are obtained, which can loosen the constraint on impulsive intervals and thus reduce the conservativeness compared with previous results that take the upper/lower bound of all impulsive interval.

TL;DR: The notion of bounded synchronization in probability is introduced to characterize the performance of the controlled dynamical networks in the presence of exogenous disturbances, switching rules and event-triggered schemes.

TL;DR: This paper develops a new type of compositionality conditions which are less conservative than the existing ones and proposes an approach to construct finite MDPs together with their corresponding finite-step storage functions for general discrete-time stochastic control systems satisfying an incremental passivablity property.

TL;DR: In this paper, the authors introduce the detectability notions and investigate the properties of Boolean control networks (BCNs) and Boolean networks (BNs) using the semi-tensor product of matrices.

TL;DR: This paper investigates the event-triggered H ∞ control of networked switched systems in the presence of Denial-of-Service (DoS) attacks by constructing multiple quadratic Lyapunov functions with the merged switching signal.

TL;DR: An appropriate Lyapunov–Krasovskii functional is proposed and using the average dwell time technique, a set of new delay-dependent finite-time boundedness conditions is established in terms of linear matrix inequalities to obtain the desired result.

TL;DR: Subsequently, sufficient conditions to ensure stability of the closed-loop system are derived by making use of the average dwell time and multiple Lyapunov functions method and the effectiveness of the proposed method is verified by numerical simulations.

TL;DR: This paper proposes a black-box iterative identification method, where each iteration is characterized by two stages, and allows to significantly reduce the combinatorial complexity of the problem, thus allowing an efficient solution of the optimization problem.

TL;DR: This study proposes the impulsive control method to reduce the energy consumption of the controller and takes advantages of the stability theory of impulsive systems, as well as the properties of Laplacian matrix and convex hull, corresponding distributed dynamic consensus protocols.

TL;DR: This paper designs a leader-following consensus of general linear multi-agent systems with random switching topologies, where the dwell time in each topology consists of a fixed part and random part, and the topology switching signal in random part is modeled by a semi-markov process.

TL;DR: In this article, a non-fragile sampled data control framework for non-linear multi-agent systems with additive time varying delays and Markovian jump parameters is presented.

TL;DR: In this paper, a sufficient delay-dependent condition of exponential stability for delayed singular switched positive systems under three different kinds of dwell time constraints: MDMDT, MDCDT and MDRDT, is provided, respectively.

TL;DR: A new event-triggered based asynchronous adaptive quantized SMC law is designed to stabilize the It o ˆ stochastic systems with semi-markovian switching, actuator failures and signal quantization and can ensure that the sliding surface converges the defined small domain in finite time.

TL;DR: It is proved that the asymptotical synchronization of the complex network and the boundedness of the adaptive feedback gains are guaranteed.

TL;DR: In this paper, an observer-based sliding mode control strategy for a class of uncertain stochastic Markovian jump systems with nonlinear perturbation was proposed, where a linear switching surface scheme was established for the system with the aid of a simplified non-fragile observer.

TL;DR: The non-fragile H ∞ criterion is introduced not only to design the consensus protocol which is capable of tolerating some level of parametric uncertainties, but also to make the consensus error system asymptotically stable with a prescribed H∞ disturbance attenuation level.