Editorial New Developments in Time-Delay Systems and Its ...downloads.hindawi.com/journals/mpe/2013/198245.pdfNew Developments in Time-Delay Systems and Its Applications in Engineering

Hindawi Publishing CorporationMathematical Problems in EngineeringVolume 2013, Article ID 198245, 2 pageshttp://dx.doi.org/10.1155/2013/198245

EditorialNew Developments in Time-Delay Systems andIts Applications in Engineering

Guangdeng Zong,1 Wei Xing Zheng,2 Ligang Wu,3 and Yang Yi4

1 Research Institute of Automation, Qufu Normal University, Qufu 273165, China2 School of Computing, Engineering and Mathematics, University of Western Sydney, Penrith, NSW 2751, Australia3 Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China4College of Information Engineering, Yangzhou University, Yangzhou 225009, China

Correspondence should be addressed to Guangdeng Zong; [email protected]

Received 27 June 2013; Accepted 27 June 2013

Copyright © 2013 Guangdeng Zong et al. This is an open access article distributed under the Creative Commons AttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properlycited.

A system is said to have a delay when the rate of variationin the system state depends on past states. Such a system iscalled a time-delay system. Over the past several decades,there has been extensive concern in time-delay systems inthe field of control theory and engineering. On one hand,time delays are inherent in various engineering systems suchas long transmission lines in pneumatic systems, networkedcontrol systems, nuclear reactors, rolling mills, hydraulicsystems, and manufacturing. On the other hand, it has beenrecognized that time delay is often a source of generation ofoscillation, instability, or poor control performance of under-lying control systems.Therefore, for time-delay systems, thereare many challenging issues, for example, stability analy-sis, stabilization, 𝐻

∞control, robust performance analysis,

model identification problem, and antidisturbance control,that need to be solved.

This special issue contains twenty-one papers, of whichseven are related to stability analysis and stabilization ofdifferent time-delay systems and four concern networkedcontrol systems with time-delay. Six papers discuss antidis-turbance problem and 𝐻-infinite robust control for varioustime-delay systems. There is also a single paper focusing oncollaboration control for multiagent systems with samplingdelay. Another paper deals with online identification ofmultivariable discrete time-delay systems. Finally, two paperscover the switched models with state delays.

“Stability and 𝐿1gain analysis for positive 2D systems with

state delays in the Roesser model” by Z. Duan et al. concerns

the state-delay term described by the Roesser model andshows the sufficient conditions of delay-dependent stabilityfor positive 2D systems. “New exponential stability conditionsof switched BAM neural networks with delays” by Y. Yangconstructs a new switching dependent Lyapunov-Krasovskiifunction and solves the exponential stability problem fora class of discrete-time switched BAM neural networkswith time delay, while “Stability analysis for delayed neuralnetworks: reciprocally convex approach” by H. Yu et al. inves-tigates the global stability problem for a class of continuousneural networks with time-varying delay by using recip-rocally convex combination approaches. “Stability analysisof a harvested prey-predator model with stage structure andmaturation delay” by C. Liu et al. proposes a harvestedprey-predator model to investigate the effects of densitydependent maturation delay and discusses the global stabilityof positive equilibrium by utilizing an iterative technique. “𝑃-moment stability of stochastic differential delay systems withimpulsive jump and Markovian switching” by L. Gao gives anovel P-moment stability criteria for stochastic differentialdelay systems. “A simplified descriptor system approach todelay-dependent stability and robust performance analysisfor discrete-time systems with time delays” by F. Xu andD. Li reduces the conservatism of the existing results oftime-delay discrete-time systems by removing the redundantmatrix variables. “Directly solving special second order delaydifferential equations using Runge-Kutta-Nystrom method” byM. Mechee et al. studies a novel stability analysis method for

2 Mathematical Problems in Engineering

the second order delay differential equations based on thedesigned Runge-Kutta-Nystrom algorithm.

“Robust fault tolerant control for a class of time-delaysystems with multiple disturbances” by S. Cao and J. Qiaoaddresses a robust fault tolerant control approach for a class ofnonlinear systems with time-delay, actuator faults, andmulti-ple disturbances using a composite strategy consisting of dis-turbance observer-based control and fault accommodation.“Enhanced disturbance-observer-based control for a class oftime-delay system with uncertain sinusoidal disturbances” byX. Wen provides a thorough study on disturbance-observer-based control (DOBC) for a class of time-delay systems underuncertain sinusoidal disturbances. “Composite disturbanceobserver-based control and 𝐻

∞output tracking control for

discrete-time switched systems with time-varying delay” by H.Sun and L. Hou concerns the problem of𝐻

∞output tracking

control for discrete-time switched systems with time-varyingdelay and external disturbances. Furthermore, “Robust 𝐻

∞

control of uncertain T-S fuzzy time-delay system: a delaydecomposition approach” by C. Gong and C. Han concernswith the problem of robust𝐻

∞control of a class of uncertain

time-delay fuzzy systems by utilizing the instrumental ideaof delay decomposition. “A novel approach to 𝐻

∞control

design for linear neutral time-delay systems” by H. Xia etal. explores some delay-dependent sufficient conditions oflinear time-varying neutral systems by designing the statefeedback controller with𝐻

∞performance level. “𝐻

∞control

for flexible spacecraft with time-varying input delay” by R.Zhang et al. provides an effective 𝐻

∞control algorithm for

flexible spacecraft with time-varying control input delay andobtains a more flexible result.

“Performance of networked control systems” by Y. Zhanget al. designs an optimal controller for the new NCSs withdata packets dropout andminimizes the infinite performanceindex at each sampling time. “Control for networked controlsystems with time delays and packet dropouts” by Y. Wang etal. explores the mean square exponential 𝐻

∞performance

for NCSs with random delay and packet dropout. “Improvingthe performance metric of wireless sensor networks withclustering Markov chain model and multilevel fusion” by S.Havedanloo andH. R. Karimi proposes a performancemetricevaluation of a distributed detection wireless sensor networkwith respect to IEEE 802.15.4 standard and improves theperformance of network in terms of reliability, packet failure,average delay, and power consumption. “Robust filtering fornetworked stochastic systems subject to sensor nonlinearity” byG. Wu et al. considers the effects of the sensor saturation,output quantization, and network-induced delay in the net-work environment and models the random delays as a linearfunction of the stochastic variable described by a Bernoullirandom binary distribution.

“Collaboration control of fractional-order multiagent sys-tems with sampling delay” by H.-Y. et al. Yang investigatesthe novel collaboration control problems of continuous-timenetworked fractional-order multiagent systems via sampledcontrol and sampling delay andmany sufficient conditions forreaching consensus with sampled data, and sampling delaycan be obtained. “Online identification of multivariable dis-crete time delay systems using a cursive least square algorithm”

by S. Bedoui identifies the time delays and the parameters oflinear discrete-time delay multivariable systems by using theleast square approach. Moreover, “Robust reliable control ofuncertain discrete impulsive switched systemswith state delays”by X. Li et al. presents the problem of robust reliable controlfor a class of uncertain discrete impulsive switched systemswith state delays and actuator failures. “Sliding mode controlbased on observer for a class of state-delayed switched systemswith uncertain perturbation” by Z. He et al. proposes a stateobserver-based slidingmode control designmethodology fora class of continuous-time state-delayed switched systemswith unmeasurable states and nonlinear uncertainties.

It is noted that both the stability analyze method andthe 𝐻

∞control for complex time-delay systems have always

been hot issues in the field of control theory for the last20 years. Recently, networked control systems (NCSs) havebeen extensively investigated due to its broad applicationsin engineering, in which the phenomenon of networked-induced communication time-delay has received more andmore research interests. It is well known that external dis-turbances originating from various sources exist in almostall controlled systems accompanied by increasingly large-scale and complicated industrial processes.Thus, the researchof antidisturbance control and disturbance attenuation per-formance for complex time-delay systems is a challengingproblem. On the other hand, the performance analyze forswitched systems with time-delay has also have receivedconsiderable attention because of their applicability andsignificance in various areas. In summary, almost all papersin this special issue concern those recent focus and some newdevelopments emerged in the time-delay systems. Moreover,many practical applications can also be found in this specialissue, such as truck trailer systems, flexible spacecraft, A4Daircraft, and NCSs.

Of course, the selected topics and papers are not acomprehensive representation of the area of this specialissue. Nonetheless, they represent the rich and many facetedknowledge that we have the pleasure of sharing with thereaders.

Acknowledgments

Wewould like to express appreciation to the authors for theirexcellent contributions and patience in assisting us. Finally,the fundamental work of all reviewers on these papers is alsovery greatly acknowledged.

Guangdeng ZongWei Xing Zheng

Ligang WuYang Yi

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Editorial New Developments in Time-Delay Systems and Its ...downloads.hindawi.com/journals/mpe/2013/198245.pdfNew Developments in Time-Delay Systems and Its Applications in Engineering