zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Exponential lag synchronization for delayed fuzzy cellular neural networks via periodically intermittent control. (English) Zbl 1244.65097
Authors’ abstract: Lag synchronization for a class of delayed fuzzy cellular networks is investigated. By utilizing an inequality technique, Lyapunov functional theory and the analysis method, some new and useful criteria of lag synchronization for the addressed networks are derived in terms of p-norm under a periodically intermittent controller. Finally, an example with simulation is given to show the effectiveness of the obtained results.
MSC:
65K10Optimization techniques (numerical methods)
93C15Control systems governed by ODE
34H05ODE in connection with control problems
34K36Fuzzy functional-differential equations
References:
[1]S., Cai; Z., Liu; F., Xua; J., Shen: Periodically intermittent controlling complex dynamical networks with time-varying delays to a desired orbit, Physics letters A 373, 3846-3854 (2009)
[2]O., Chua L.; L., Yang: Cellular neural networks: theory, IEEE transactions on circuits systems 35, 1257-1272 (1988) · Zbl 0663.94022 · doi:10.1109/31.7600
[3]O., Chua L.; L., Yang: Cellular neural networks: applications, IEEE transactions on circuits systems 35, 1273-1290 (1988)
[4]D., Dai; K., Ma X.: Chaos synchronization by using intermittent parametric adaptive control method, Physics letters A 288, 23-28 (2001) · Zbl 0971.37043 · doi:10.1016/S0375-9601(01)00521-7
[5]C., Deissenberg: Optimal control of linear econometric models with intermittent controls, Economics of planning 16, 49-56 (1980) · Zbl 0466.90018
[6]W., Ding: Synchronization of delayed fuzzy cellular neural networks with impulsive effects, Communications in nonlinear science and numerical simulation 14, 3945-3952 (2009) · Zbl 1221.34194 · doi:10.1016/j.cnsns.2009.02.013
[7]W., Ding; M., Han: Synchronization of delayed fuzzy cellular neural networks based on adaptive control, Physics letters A 372, 4674-4681 (2008) · Zbl 1221.94094 · doi:10.1016/j.physleta.2008.04.053
[8]W., Ding; A., Han M.; L., Li M.: Exponential lag synchronization of delayed fuzzy cellular neural networks with impulses, Physics letters A 373, 832-837 (2009) · Zbl 1228.34075 · doi:10.1016/j.physleta.2008.12.049
[9]C., Hu; J., Jiang H.; D., Teng Z.: Fuzzy impulsive control and synchronization of general chaotic system, Acta applicatae mathematics 109, 463-485 (2010) · Zbl 1189.93077 · doi:10.1007/s10440-008-9327-y
[10]M., Hu; Z., Xu: Adaptive feedback controller for projective synchronization, Nonlinear analysis: RWA 9, 1253-1260 (2008) · Zbl 1144.93364 · doi:10.1016/j.nonrwa.2007.03.005
[11]W., Huang T.: Exponential stability of delayed fuzzy cellular neural networks with diffusion, Chaos, solitons and fractals 31, 658-664 (2007) · Zbl 1138.35414 · doi:10.1016/j.chaos.2005.10.015
[12]W., Huang T.; D., Li C.: Chaotic synchronization by intermittent feedback method, Journal of computational and applied mathematics 234, 1097-1104 (2010) · Zbl 1195.65212 · doi:10.1016/j.cam.2009.05.020
[13]J., Huang J.; D., Li C.; Q., Han: Stabilization of delayed chaotic neural networks by periodically intermittent control, Circuits, systems and signal process 28, 567-579 (2009) · Zbl 1170.93370 · doi:10.1007/s00034-009-9098-3
[14]W., Huang T.; D., Li C.; Z., Liu X.: Sychronization of chaotic systems with delay using intermittent linear state feedback, Chaos 18, 033122 (2008)
[15]T., Huang; C., Li; W., Yu; G., Chen: Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback, Nonlinearity 22, 569-584 (2009) · Zbl 1167.34386 · doi:10.1088/0951-7715/22/3/004
[16]D., Li C.; G., Feng; F., Liao X.: Stabilization of nonlinear systems via periodically intermittent control, IEEE transactions on circuits and systems-II 54, 1019-1023 (2007)
[17]D., Li C.; F., Liao X.; W., Huang T.: Exponential stabilization of chaotic systems with delay by periodically intermittent control, Chaos 17, 013103 (2007) · Zbl 1159.93353 · doi:10.1063/1.2430394
[18]X., Huang; J., Lam; J., Cao; S., Xu: Robust synchronization criteria for recurrent neural networks via linear feedback, International journal of bifurcation and chaos 17, 2723-2738 (2007) · Zbl 1140.93041 · doi:10.1142/S0218127407018713
[19]J., Liang; Z., Wang; Y., Liu; X., Liu: Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks, IEEE transactions on neural networks 19, 1910-1921 (2008)
[20]Q., Liu Y.; S., Tang W.: Exponential stability of fuzzy cellular neural networks with constant and time-varying delays, Physics letters A 323, 224-233 (2004) · Zbl 1118.81400 · doi:10.1016/j.physleta.2004.01.064
[21]W., Liu Z.; G., Zhang H.; S., Wang Z.: Novel stability criterions of a new fuzzy cellular neural networks with time-varying delays, Neurocomputing 72, 1056-1064 (2009)
[22]K., Song Q.; D., Cao J.: Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses, Journal of the franklin institute 345, 39-59 (2008) · Zbl 1167.93369 · doi:10.1016/j.jfranklin.2007.06.001
[23]K., Tanaka; O., Wang H.: Fuzzy control of chaotic systems using lims: regulation, synchronization and chaos model following, IEEE world congress on fuzzy systems proceeding 1, 434-439 (1998)
[24]G., Xia W.; D., Cao J.: Pinning synchronization of delayed dynamical networks via periodically intermittent control, Chaos 19, 013120 (2009)
[25]Y., Xia; Z., Yang; M., Han: Synchronization schemes for coupled identical Yang – Yang type fuzzy cellular neural networks, Communications in nonlinear science and numerical simulation 14, 3645-3659 (2009) · Zbl 1221.37227 · doi:10.1016/j.cnsns.2009.01.028
[26]X., Yang; J., Cao: Stochastic synchronization of coupled neural networks with intermittent control, Physics letters A 373, 3259-3272 (2009) · Zbl 1233.34020 · doi:10.1016/j.physleta.2009.07.013
[27]C., Yang Z.; Y., Xu D.: Stability analysis and design of impulsive control systems with time delay, IEEE transactions on automatic control 52, 1448-1454 (2007)
[28]T., Yang; B., Yang L.; W., Wu C.; O., Chua L.: Fuzzy cellular neural networks: theory, Proceedings of IEEE international workshop on cellular neural networks and applications 1, 181-186 (1996)
[29]T., Yang; B., Yang L.; W., Wu C.; O., Chua L.: Fuzzy cellular neural networks: applications, Proceedings of IEEE international workshop on cellular neural networks and applications 1, 225-230 (1996)
[30]K., Yuan; D., Cao J.; M., Deng J.: Exponential stbility and periodic solutions of fuzzy cellular neural networks with time-varying delays, Neurocomputing 69, 1619-1627 (2006)
[31]H., Zhang; H., Guan Z.; C., Ho Daniel W.: On synchronization of hybrid switching and impulsive networks, , 2765-2770 (2006)
[32]Q., Zhang; W., Luo: Global exponential stability of fuzzy BAM neural networks with time-varying delays, Chaos, solitons and fractals 42, 2239-2245 (2009) · Zbl 1198.34172 · doi:10.1016/j.chaos.2009.03.116
[33]M., Zochowski: Intermittent dynamical control, Physical D 145, 181-190 (2000) · Zbl 0963.34030 · doi:10.1016/S0167-2789(00)00112-3