Editorial Stochastic Systems: Modeling, Optimization, and...

EditorialStochastic Systems: Modeling, Optimization, and Applications

Shuping He,1 Ju H. Park,2 Hao Shen,3 Zhengguang Wu,4 and Hongsheng Dai5

1 School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China2Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea3 School of Electrical Engineering and Information, Anhui University of Technology, Ma’anshan 243002, China4National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University,Hangzhou 310058, China

5 Department of Mathematical Sciences, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, UK

Correspondence should be addressed to Shuping He; [email protected]

Received 8 April 2014; Accepted 8 April 2014; Published 29 April 2014

Copyright © 2014 Shuping He et al. This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Many stochastic systems, such as switching systems, Marko-vian jumping systems, jumping neural networks, T-S fuzzyjumping systems and network control systems, have arisennaturally in the mathematical modeling of phenomena span-ning disciplines in the social sciences, natural sciences, andengineering. Much attention has been given to modeling,control optimization, robust filtering, signal processing, andreal applications of such stochastic dynamical systems inthe literature in recent years. This special issue providesa forum for researchers and practitioners to publish qual-ity research work on modeling, optimization approaches,and their applications in the context of theory analysisand engineering developments. The accepted papers in thisspecial issue include stochastic stability, stabilization andcontrol optimization, stochastic optimization, particle swarmoptimization, modeling and identification methods, signalprocessing, robust filtering, sliding mode control, multiagentsystems, nonlinear systems, time-delayed systems, neuralnetworks, T-S fuzzy systems, simulated annealing, and faultdiagnosis methods.

In this special issue, we have accepted thirty-nine papers,of which six consider the stability and stabilization problemsof stochastic systems. Twelve papers cover the problems of thecontroller design and relevant optimization algorithms.Thereare three articles that discussed the signal processing meth-ods. One paper focuses on fault diagnosis and fault tolerantcontrol for non-Gaussian singular time-delayed stochastic

systems, and three consider the state estimation and filter-ing problems of discrete-time stochastic systems. Finally,fourteen papers study the stochastic systems modeling andidentification methods.

Over the past few decades, the stochastic stability, stabi-lization, and control optimization problems have long beenthe mainstream of research topics. “Exponential synchroniza-tion of stochastic complex dynamical networks with impulsiveperturbations and Markovian switching” by W. Zhou etal. studies the exponential synchronization for a class ofMarkovian switching networks with impulsive perturbationsand “Almost sure asymptotical adaptive synchronization forneutral-type neural networks with stochastic perturbation andMarkovian switching” by W. Zhou et al. concerns the almostsure asymptotical adaptive synchronization for a class ofnonlinear Markovian switching networks. “Stabilization ofdiscrete-time Markovian jump systems via controllers withpartially mode-dependent characterization” by C. Zhai etal. developed a kind of stabilizing controller in terms ofbeing partiallymode-dependent for discrete-timeMarkovianjump systems. “Fuzzy stabilization for nonlinear discreteship steering stochastic systems subject to state variance andpassivity constraints” by W.-J. Chang et al. is concerned witha fuzzy stabilization methodology for nonlinear discrete-time stochastic systems, subject to state variance constraintand passivity constraint. “Simple adaptive asymptotic trackingscheme for parametric strict-feedback nonlinear systems with

Hindawi Publishing CorporationMathematical Problems in EngineeringVolume 2014, Article ID 713969, 3 pageshttp://dx.doi.org/10.1155/2014/713969

http://dx.doi.org/10.1155/2014/713969

2 Mathematical Problems in Engineering

additive disturbance” by Y. Wang et al. studies the adaptiveasymptotic tracking scheme of a class of parametric strict-feedback nonlinear systems by using the backstepping tech-nique. “Delay-dependent finite-time and 𝐿

2-gain analysis for

switched systems with time-varying delay” by Q. Yang dis-cusses the finite-time stability problem for switched systems.For the control optimization aspects, “Design of nonlinearrobust rotor current controller for DFIG based on terminalsliding mode control and extended state observer” by G. Caiet al. considers a novel rotor current controller to enhancefault ride-through (FRT) capacities of grid-connected DFIGbased on terminal sliding mode control scheme. “Dynamicintelligent feedback scheduling in networked control systems”by H. Chen et al. studies a dynamic intelligent feedbackscheduling strategy for networked control systems. By usingthe NN-GA approach, “Efficiency optimization for disas-sembly tools via using NN-GA approach” by G. Tian et al.addresses the disassembly efficiency optimization and thecomparison for different disassembly tools. “Mean-variance-CvaR model of multiportfolio optimization via linear weightedsum method” by Y. Elahi and M. I. Abd Aziz proposes a newapproach to optimizing portfolios to mean-variance-CVaRmodel. By both sides, bipolar-beamforming optimization,“Securing communication via transmission of artificial noiseby both sides: bipolar-beamforming optimization” by Y. Zhouet al. considers the optimal design for the configuration tobest utilize Alice and Bob’s antenna and power resources.“Stochastic constriction cockroach swarm optimization formultidimensional space function problems” by I. C. Obag-buwa et al. examines the effect of stochastic constrictionon cockroach swarm optimization algorithm performance,and “Analysis of population diversity of dynamic probabilisticparticle swarm optimization algorithms” by Q. Ni and J.Deng measures the population diversity in PSO algorithmscombined with some population diversity analysis methods.“𝐻∞

enhanced control design of discrete-time Takagi-Sugenostate-multiplicative noisy systems” by D. Krokavec and A.Filasová and “𝐻

∞control of singular Markovian jump systems

with bounded transition probabilities” by H. Lin et al., respec-tively, study the 𝐻

∞control schemes for stochastic systems

with unknown disturbances. “Intelligent integration betweenhuman simulated intelligence and expert control technology forthe combustion process of gas heating furnace” by Y. C. Liu andY. B. Liu explores a sort of strong robust control algorithmto improve the control quality of the combustion processof gas heating furnace. For the multiagent systems, “Leader-following protocol design for switched multiagent systems withrandomly occurring self-delay” by M. J. Park et al. designsa delay-dependent leader-following protocol for multiagentsystems with both communication delay and randomlyoccurring self-delay, and “Fault tolerant consensus of multi-agent systems with linear dynamics” by J. Li deals with theconsensus problemof linearmultiagent systemswith actuatorfaults.

As is well know that the signal processing, estimation, andfiltering problems are very useful in engineering applications.“Low-rank affinity based local-driven multilabel propagation”by T. Li et al. presents a novel low-rank affinity basedlocal-driven algorithm to robustly propagate the multilabels

from training images to test images, and “Nonnegative signaldecomposition with supervision” by T. Li et al. gives a novelalgorithm to numerically decompose mixed signals in acollaborative way. “SAR image despeckling with adaptivemultiscale products based on directionlet transform” by Y.Lu et al. proposes a new despeckling algorithm based ondirectionlets using multiscale products. For the estimationproblems, “State estimation for nonlinear discrete-time systemswith Markov jumps and nonhomogeneous transition prob-abilities” by S. Zhao et al. addresses the state estimationfor a class of nonlinear discrete-time systems with Markovparameters and nonhomogeneous transition probabilities;“Multisensor estimation fusion of nonlinear cost functions inmixed continuous-discrete stochastic systems” by I. Y. Song etal. proposes the centralized and distributed fusion algorithmsfor estimation of nonlinear cost function in multisensorymixed continuous-discrete stochastic systems; “Suboptimalfiltering of networked discrete-time systems with randomobservation losses” by S. Gao and P. Chen studies the remotefiltering problem over a packet-dropping network. “Faultdiagnosis and fault tolerant control for non-Gaussian singulartime-delayed stochastic distribution systems” by L. Yao et al.proposes a new integrated fault diagnosis and fault tolerantcontrol algorithm for non-Gaussian singular time-delayedstochastic distribution control system.

The problems of systemmodeling and identification havebeen extensively studied bymany researchers, andmany rele-vant results have beenmade for stochastic dynamical systems.“A multistep extending truncation method towards modelconstruction of infinite-state markov chains” by K. Wang et al.proposes a multistep extending advanced truncation methodtowards model construction of CTMCs and implements itin the INFAMY model checker, and “A new GMRES(m)method for Markov chains” by B.-Y. Pu et al. presents a classof new accelerated restarted GMRES method for calculatingthe stationary probability vector of an irreducible Markovchain. “Modeling of duck density and complex stocking timein rice-duck agroecosystems in terms of economic and ecolog-ical benefits” by D. Xiong et al. discusses the quantitativeassessment and modeling of the duck density and complexstocking time in the rice-duck ecosystem, whereas “Noise-induced transitions in a population growth model based onsize-dependent carrying capacity” by N. Lumi et al. considersthe stochastic dynamics of a population growth model withsize-dependent carrying capacity. “Automated flare predictionusing extreme learning machine” by Y. Bian et al. introducesa flare forecasting method which is the combination of theLRmodel and the ELM algorithm. “Punishment and feedbackmechanism for the evolution game on small-world networkbased on varying topology” by Y. Shi et al. addresses theproblem of the punishment and feedback mechanism forthe evolution game on small-world network with varyingtopology. “Pricing decisions of two complementary products ina fuzzy environment” by L. Wang et al. analyzes the changesof the optimal retail pricing of two complementary productsunder two different decentralized decision scenarios, that is,Nash game case and Stackelberg game case. “Localizationaccuracy of range-only sensors with additive andmultiplicativenoise” by X. Shi et al. investigates the localization accuracy

Mathematical Problems in Engineering 3

of range-only sensors with both additive and multiplicativenoises, and “Integrating the supervised information into unsu-pervised learning” by P. Ling et al. presents an assemblingunsupervised learning framework that adopts the informa-tion coming from the supervised learning process. “Compari-son ofmultiple randomwalks strategies for searching networks”by Z. Zheng et al. investigates diverse random-walk strategiesfor searching networks, especially multiple random walks.“Molecular dynamics simulation of barnase: contribution ofnoncovalent intramolecular interaction to thermostability” byZ. Chen et al. focuses on the contribution of noncovalentintramolecular interaction to protein stability and how theyaffect the thermal stability of the enzyme, and “The simulationand minimization of loss probability in the tandem queueingwith two heterogeneous channels” by M. Zobu et al. considersa stochastic model consisting of two heterogeneous channelsand having no waiting room in front of each. For theapplication aspects, “Multiple model identification for a highpurity distillation column process based on EM algorithm” byW. Xiong et al. introduces themultiplemodel based approachto model the high purity distillation column plant under theframework of the expectationmaximization (EM) algorithm,and “Delay-aware online service scheduling in high-speedrailway communication systems” by S. Xu et al. investigates thedownlink service scheduling problem in relay-assisted high-speed railway communication systems.

It is necessary to point out that the selected topics andpublished papers are not a comprehensive representation ofthe area of this special issue. But the authors represent the richand many faceted knowledge and they still hope the readerwill find this special issue very useful.

Acknowledgments

We would like to express our great appreciation to all theauthors of this special issue for their high quality contribu-tions. All the reviewers’ efforts in reviewing the papers arealso very greatly acknowledged.

Shuping HeJu H. ParkHao Shen

Zhengguang WuHongsheng Dai

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