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Author

Ticao Jiao

Bio: Ticao Jiao is an academic researcher from Shandong University of Technology. The author has contributed to research in topics: Nonlinear system & Lyapunov function. The author has an hindex of 13, co-authored 40 publications receiving 389 citations. Previous affiliations of Ticao Jiao include University of Sydney & Qufu Normal University.

Papers
More filters
Journal ArticleDOI
TL;DR: This paper addresses the stability problem for a class of switched nonlinear systems subject to random disturbances whose τ-order moments (τ > 1) are finite by using the average dwell-time approach to study the noise-to-state stability, the eλt-weighted (integral) noise- to- state stability and the global asymptotic stability of random switched systems.
Abstract: This paper addresses the stability problem for a class of switched nonlinear systems subject to random disturbances whose $\tau $ -order moments ( $\tau >1$ ) are finite. First, some general conditions are given to guarantee the existence and uniqueness of solutions to random switched systems. Next, these results are used to deduce the criteria of noise-to-state stability under probabilistic switching signal. Then, the average dwell-time approach is adopted to study the noise-to-state stability, the $e^{\lambda t}$ -weighted (integral) noise-to-state stability and the global asymptotic stability of random switched systems. All the criteria on global existence and stability of solutions are developed by virtue of multiple Lyapunov functions. Finally, two numerical examples are given to demonstrate the validity of the theoretical results.

59 citations

Journal ArticleDOI
TL;DR: Unified sufficient stability criteria on NSpS-M and GAS a.s. are derived using the notions of average impulsive switched interval and Poisson process to solve the problem of almost sure global asymptotic stability for a class of random nonlinear time-varying Impulsive switched systems.
Abstract: This paper investigates the problem of noise-to-state practical stability in mean (NSpS-M) (which is a natural generalization of noise-to-state stability in mean) and the problem of almost sure global asymptotic stability (GAS a.s.) for a class of random nonlinear time-varying impulsive switched systems. By using the notions of average impulsive switched interval and Poisson process, unified sufficient stability criteria on NSpS-M and GAS a.s. are derived. Two remarkable distinctions from the existing results lie in that: (1) stabilizing, inactive and destabilizing impulses are simultaneously considered; (2) the coefficient of the derivative of a Lyapunov function is allowed to be a time-varying function which can be both positive and negative and may even be unbounded. As an accompaniment, a less conservative unified criterion on NSpS-M for a special case is also presented by taking into account the stabilization role of the gain constant of the time-varying coefficient. Two examples are provided to illustrate the effectiveness of our derived criteria.

56 citations

Journal ArticleDOI
TL;DR: This paper establishes the stability criteria for genetic regulatory networks with random disturbances by assuming the nonlinear feedback regulation function to satisfy the sector-like condition and the random perturbation to have a finite second-order moment.
Abstract: This paper establishes the stability criteria for genetic regulatory networks with random disturbances. We assume the nonlinear feedback regulation function to satisfy the sector-like condition and the random perturbation to have a finite second-order moment. First, under the globally Lipschitz condition, the existence and uniqueness of solution to random genetic regulatory networks are considered by exploiting an iterative approximation method. Then, by feat of the random analysis method and matrix technique, sufficient conditions are given to guarantee the noise-to-state stability in mean and globally asymptotic stability in probability, respectively. At last, two simulation examples are exploited in order to verify the validity of the proposed theory.

40 citations

Journal ArticleDOI
TL;DR: In this article, the problem of noise-to-state stability (NSS) and globally asymptotic stability (GAS) is investigated for a class of nonlinear systems with random disturbances and impulses, where the random noises have finite secondorder moments and the so-called random impulses mean that impulse ranges are driven by a sequence of random variables.
Abstract: Summary In this paper, the problem of noise-to-state stability (NSS) and globally asymptotic stability (GAS) is investigated for a class of nonlinear systems with random disturbances and impulses, where the random noises have finite second-order moments and the so-called random impulses mean that impulse ranges are driven by a sequence of random variables. First, some general conditions are given to guarantee the existence and uniqueness of solutions to random nonlinear impulsive systems. Next, when the continuous dynamics are stable but the impulses are destabilizing, the NSS and GAS of random nonlinear impulsive systems are examined by the average impulsive interval approach. Then, when the continuous dynamics are unstable but the impulses are stabilizing, it is shown that the NSS and GAS can be retained by using the reverse average impulsive interval approach. Finally, the theoretical findings are substantiated with illustrative examples. Copyright © 2016 John Wiley & Sons, Ltd.

32 citations

Journal ArticleDOI
TL;DR: The stochastically global asymptotic stability (GAS) of the closed-loop system under the above-mentioned controllers is proved by Lyapunov–Krasovskii theorem and homogeneous domination approach.
Abstract: This paper studies the problem of decentralized stabilization for a class of large-scale stochastic high-order time-delay feedforward nonlinear systems. A series of delay-independent state feedback controllers is constructed, which is based on the approach of adding one power integrator. The stochastically global asymptotic stability (GAS) of the closed-loop system under the above-mentioned controllers is proved by Lyapunov–Krasovskii theorem and homogeneous domination approach. A simulation example is given to illustrate the effectiveness of the results of this paper.

30 citations


Cited by
More filters
01 Sep 2010

2,148 citations

Journal ArticleDOI
TL;DR: To effectively use the network resources, a suitable event-driven communication scheme is proposed for the networked switched systems in this paper and the applicability of the proposed filtering scheme is demonstrated via a mass-spring system model.
Abstract: To effectively use the network resources, a suitable event-driven communication scheme is proposed for the networked switched systems in this paper. Under the EDCS, a finite-time filter is designed for switched systems, which does not synchronize with the switched systems. Different from the existing finite-time problems, finite-time boundedness (FTBs) and input–output finite-time stability (IO-FTSy) are simultaneously considered in this paper. Some sufficient conditions are established to check the properties of the FTBs and the IO-FTSy of the event-driven asynchronous filtering error system by constructing a reasonable Lyapunov–Krasovskii functional and using the average dwell time approach. All the matrix inequalities can be converted to linear matrix inequalities so as to design the event-driven asynchronous filter. The applicability of the proposed filtering scheme is demonstrated via a mass-spring system model.

241 citations

Journal ArticleDOI
TL;DR: The experiment result show that the SS-BLS can achieve higher classification accuracy for different complex data, takes on fast operation speed and strong generalization ability.
Abstract: Broad Learning System (BLS) are widely used in many fields because of its strong feature extraction ability and high computational efficiency. However, the BLS is mainly used in supervised learning, which greatly limits the applicability of the BLS. And the obtained data is less labeled data, but is a large number of unlabeled data. Therefore, the BLS is extended based on the semi-supervised learning of manifold regularization framework to propose a semi-supervised broad learning system (SS-BLS). Firstly, the features are extracted from labeled and unlabeled data by building feature nodes and enhancement nodes. Then the manifold regularization framework is used to construct Laplacian matrix. Next, the feature nodes, enhancement nodes and Laplacian matrix are combined to construct the objective function, which is effectively solved by ridge regression in order to obtain the output coefficients. Finally, the validity of the SS-BLS is verified by three different complex data of G50C, MNIST, and NORB, respectively. The experiment result show that the SS-BLS can achieve higher classification accuracy for different complex data, takes on fast operation speed and strong generalization ability.

181 citations

Journal ArticleDOI
TL;DR: A new form of K-filters with time-varying low-gain is introduced in this paper to compensate for unmeasurable/unknown states of stochastic feedforward systems with unknown control coefficients and unknown output function.

177 citations