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In this letter, a novel recurrent neural network based on the gradient method is proposed for solving linear programming problems. Finite-time convergence of the proposed neural network is proved by using the Lyapunov method. Compared with the existing neural networks for linear programming, the proposed neural network is globally convergent to exact optimal solutions in finite time, which is remarkable and rare in the literature of neural networks for optimization. Some numerical examples are given to show the effectiveness and excellent performance of the new recurrent neural network.
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Extends the ideas and techniques developed previously by the present authors for controlling discrete-time chaotic dynamic systems using traditional feedback control strategies to continuous-time chaotic systems. The authors study how the conventional engineering approach using canonical feedback controllers can control the chaotic trajectory of a continuous-time nonlinear system to converge to its equilibrium points and, more significantly, to its multiperiodic orbits including unstable limit cycles. They describe an approach via a detailed investigation of the chaotic Duffing equation, with special emphasis on the control of its chaotic trajectory to one of its multiperiodic orbits. Finally, the authors provide a rigorous mathematical theory and some computer simulations to support and visualize such controllability of the Duffing equation.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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We consider impulsive control of a periodically forced pendulum system which has rich chaos and bifurcation phenomena. A new impulsive control method for chaos suppression of this pendulum system is developed. Some simple sufficient conditions for driving the chaotic state to its zero equilibrium are presented, and some criteria for eventually, exponentially asymptotical stability are established. This work provides a rigorous theoretical analysis to support some early experimental observations on controlling chaos in the periodically forced pendulum system.
The objective of the present study is to evaluate the cytotoxicity of Taiwania cryptomerioides essential oil and its phytochemical on the Hep G2 cell line (human hepatocellular carcinoma). Bark essential oil has significant cytotoxicity to Hep G2 cells, and S3 fraction is the most active fraction in cytotoxicity to Hep G2 cells among the six fractions. The diterpenoid quinone, 6,7-dehydroroyleanone, was isolated from the active S3 fraction by bioassay-guided isolation. 6,7-Dehydroroyleanone exhibited significant cytotoxicity in Hep G2 cells, and the efficacy of 6,7-dehydroroyleanone was better than the positive control, etoposide. Apoptosis analysis of Hep G2 cells with different treatments was characterized via flow cytometry to confirm the cell death situation. Etoposide and 6,7-dehydroroyleanone could induce the apoptosis in Hep G2 cells using flow cytometric assay. Results revealed 6,7-dehydroroyleanone from T. cryptomerioides bark essential oil can be a potential phytochemical to develop the anticancer chemotherapeutic agent for the treatment of the human hepatocellular carcinoma.
Oscillations of the second-order nonlinear partial difference equation+ p mn (y m+1,n + y m,n+1 ) ν = 0 is investigated.Some sufficient conditions for oscillations of solutions of the above equation with ν > 1 and ν < 1 are obtained, where ν is a fraction of odd positive integers, m, n ∈ N i = {i, i + 1, . . ., }, i is a nonnegative integer, T ( 1 , 2 ) = 1 + 2 +I, 1 y mn = y m+1,n -y mn , 2 y mn = y m,n+1y mn , I mn y mn = y mn .
Recently, a chaos-based image encryption scheme called RCES (also called RSES) was proposed. This paper analyses the security of RCES, and points out that it is insecure against the known/chosen-plaintext attacks: the number of required known/chosen plain-images is only one or two to succeed an attack. In addition, the security of RCES against the brute-force attack was overestimated. Both theoretical and experimental analyses are given to show the performance of the suggested known/chosen-plaintext attacks. The insecurity of RCES is due to its special design, which makes it a typical example of insecure image encryption schemes. A number of lessons are drawn from the reported cryptanalysis of RCES, consequently suggesting some common principles for ensuring a high level of security of an image encryption scheme.
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A new method is developed for controlling hyperchaos in nth-order discrete systems by perturbing one of its parameters n times in a neighborhood of an unstable periodic orbit (UPO) embedded in the chaotic attractor. The method is a generalization of a recent result for controlling two-dimensional systems, and shows some advantages in comparison with classical methods for controlling chaos. Although the method is local by nature, it is shown to be robust, which allows its application in relatively large neighborhoods of the unstable orbits, and may be used in practical situations where noise, uncertainties, and external disturbances are present. To validate the applicability of the method, two different systems where stabilized, a three-dimensional hyperchaotic Hénon-like map, and a hyperchaotic generalized Hénon map, showing good performance as expected.
Fuzzy control systems are developed based on fuzzy set theory, attributed to Lotfi A. Zadeh (Zadeh, 1965, 1973), which extends the classical set theory with memberships of its elements described by the classical characteristic function (either "is" or "is not" a member of the set), to allow for partial membership described by a membership function (both "is" and "is not" a member of the set at the same time, with a certain degree of belonging to the set). Thus, fuzzy set theory has great capabilities and flexibilities in solving many real-world problems which classical set theory does not intend or fails to handle. Fuzzy set theory was applied to control systems theory and engineering almost immediately after its birth. Advances in modern computer technology continuously backs up the fuzzy framework for coping with engineering systems of a broad spectrum, including many control systems that are too complex or too imprecise to tackle by conventional control theories and techniques Request access from your librarian to read this chapter's full text.
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: This paper is concerned with the problem of finite-time synchronization incomplex networks with stochastic noise perturbations. By using a novel finite-timeL-operator differential inequality and other inequality techniques, some novel sufficientconditions are obtained to ensure finite-time stochastic synchronization for the complexnetworks concerned, where the coupling matrix need not be symmetric. The effectsof control parameters on synchronization speed and time are also analyzed, and thesynchronization time in this paper is shorter than that in the existing literature. The resultshere are also applicable to both directed and undirected weighted networks without anyinformation of the coupling matrix. Finally, an example with numerical simulationsis givento demonstrate the effectiveness of the proposed method.Keywords: chaotic complex networks; finite-time synchronization; stochasticsynchronization; L-operator differential inequality; stochastic disturbance1. IntroductionIn recent years, complex networks have been shown to exist in many different areas in the realword [1], such as Internet networks, the Word Wide Web, food chains, relationship networks, andso on. A complex network is composed of a set of interconnected nodes, where the nodes andconnections can represent anything. According to different ways of connections and whether there are