## Article

# A Decentralized Event-Based Model Predictive Controller Design Method for Large-Scale Systems

^{1}Department of Instrumentation and Industrial Automation, Petroleum University of Technology, Ahwaz, Iran

*Automatic Control and Information Sciences*.

**2014**, 2(1), 26-31

**DOI:**10.12691/acis-2-1-5

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Karim Salahshoor, Mohsen Hadian. A Decentralized Event-Based Model Predictive Controller Design Method for Large-Scale Systems.

*Automatic Control and Information Sciences*. 2014; 2(1):26-31. doi: 10.12691/acis-2-1-5.

Correspondence to: Mohsen Hadian, Department of Instrumentation and Industrial Automation, Petroleum University of Technology, Ahwaz, Iran. Email: m.hadian@put.ac.ir

## Abstract

## Keywords

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## Article

# Some Identities of Subjective Analysis Derived on the Basis of the Subjective Entropy Extremization Principle by Professor V.A. Kasianov

^{1}Mechanics Department, Mechanical-Energetical Faculty, Aero-Space Institute, National Aviation University, Kyiv, Ukraine

*Automatic Control and Information Sciences*.

**2014**, 2(1), 20-25

**DOI:**10.12691/acis-2-1-4

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Andriy Viktorovich Goncharenko. Some Identities of Subjective Analysis Derived on the Basis of the Subjective Entropy Extremization Principle by Professor V.A. Kasianov.

*Automatic Control and Information Sciences*. 2014; 2(1):20-25. doi: 10.12691/acis-2-1-4.

Correspondence to: Andriy Viktorovich Goncharenko, Mechanics Department, Mechanical-Energetical Faculty, Aero-Space Institute, National Aviation University, Kyiv, Ukraine. Email: andygoncharenco@yahoo.com

## Abstract

## Keywords

## References

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[7] | Kasianov, V., Subjective entropy of preferences. Subjective analysis: monograph, Institute of aviation, Warsaw, Poland, 2013, 644. | ||

[8] | Kasianov, V.A., Elements of subjective analysis: monograph, National Aviation University, Kyiv, Ukraine, 2003, 224. | ||

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[17] | Ufimtsev, R., “Prologue 61. Information and Weber-Fechner law”, Cognitivist.ru. [Online]. Available: http://www.cognitivist.ru/er/kernel/prologi_61_weber_fechner.xml. [Accessed Apr. 8, 2013]. | ||

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## Article

# Further Results on Stability of Singular Time Delay Systems in the Sense of Non-Lyapunov: A New Delay Dependent Conditions

^{1}Department of Control Eng., University of Belgrade, School of Mechanical Engineering, Belgrade, Serbia

^{2}Faculty of Technology, University of Nis, Serbia

^{3}University of Belgrade, School of Mechanical Engineering, Innovation Centre, Belgrade, Serbia

*Automatic Control and Information Sciences*.

**2014**, 2(1), 13-19

**DOI:**10.12691/acis-2-1-3

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Dragutin Lj. Debeljkovic, Sreten B. Stojanovic, Goran V. Simeunovic, Nebojsa J. Dimitrijevic. Further Results on Stability of Singular Time Delay Systems in the Sense of Non-Lyapunov: A New Delay Dependent Conditions.

*Automatic Control and Information Sciences*. 2014; 2(1):13-19. doi: 10.12691/acis-2-1-3.

Correspondence to: Dragutin Lj. Debeljkovic, Department of Control Eng., University of Belgrade, School of Mechanical Engineering, Belgrade, Serbia. Email: ddebeljkovic@yahoo.com

## Abstract

## Keywords

## References

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[11] | Kablar, N.A., Debeljkovic, D.Lj., “Non - Lyapunov stability of linear singular systems: Matrix measure approach”, MNTS - Mathematical Theory of Networks and Systems, Presented lecture, also in Proc. of Ext. Abstracts, TM7, Padova, Italy, July 6-10, 1998. | ||

[12] | Kablar, N.A., Debeljkovic, D.Lj., “Non - Lyapunov stability of linear singular systems: Matrix measure approach”, Preprints 5th IFAC Symposium on Low Cost Automation, Shenyang, China, September 8-10, TS13. 16-20, 1998. | ||

[13] | Kablar, N.A., Debeljkovic, D.Lj., “Finite time stability of time varying singular systems”, Proc. IEEE CDC 98, Florida, USA, pp.3831-3836, December 10-12, 1998. | ||

[14] | Debeljkovic, D.Lj., Kablar, N.A., “On necessary and sufficient conditions of linear singular systems stability operating on finite time interval”, Proc. XII CBA, Uberlandia, Brazil, IV. 1241-1246. September 14 -18. 1998. | ||

[15] | Kablar, N.A., Debeljkovic, D.Lj., “Finite time instability of time varying linear singular systems”, Proc. IEEE ACC 99, San Diego, USA, 1796-1800. June 2-4. 1999. | ||

[16] | Debeljkovic, D.Lj., Kablar, N.A., “Finite time stability of linear singular systems: Bellman-Gronwall approach”, Proc. ACC 99, San Diego, USA, 1803-1806. June 2-4. 1999. | ||

[17] | Yang, C.Y., Zhang, Q.L., Lin, Y.P., “Practical Stability of Descriptor Systems“, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: 12.b. 44-57. 2005. | ||

[18] | Nie, Y.Y., Debeljkovic, D.Lj., “Non–Lyapunov Stability of Linear Singular Systems: A Quite new Approach in Time Domain”, Dynamics of Continuous, Discrete and Impulsive Systems, Vol.11, Series A: Math. Analysis, No. 5-6, pp.751-760., 2004. | ||

[19] | Yang, C.Y., Zhang, Q.L., Zhou, L., “Practical Stabilization and Controllability of Descriptor Systems“, International Journal of Information and System Science, 1 (3-4). 455-466. 2005. | ||

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[23] | Debeljkovic, D.Lj., Nenadic, Z.Lj., Milinkovic, S.A., Jovanovic, M.B. “On the Stability of Linear Systems with Delayed State Defined over Finite Time Interval”, Proc. IEEE CDC 97, San Diego, California, USA, 2771-2772. December 21-23. 1997. | ||

[24] | Nenadic, Z.Lj., Debeljkovic, D.Lj., Milinkovic, S.A., “On Practical Stability of Time Delay Systems”, Proc. IEEE American Control Conference, Albuquerque, USA, 3235-3235. June 4-6. 1997. | ||

[25] | Debeljkovic, D.Lj., Koruga, Đ., Milinkovic, S.A., Jovanovic, M. B., Jacic, Lj. “Further Results on Non-Lyapunov Stability of Time Delay Systems”, Proc. MELECON 98, Tel-Aviv, Israel, 1. 509-512. May 18-20. 1998. | ||

[26] | Debeljkovic, D.Lj., Lazarevic, M.P., Milinkovic, S.A., Jovanovic, M.B., “Finite Time Stability Analysis of Linear Time Delay Systems: Bellman-Gronwall Approach”, Proc. 1st IFAC Workshop on Linear Time Delay Systems, Grenoble, France, 171-175. July 6-7. 1998. | ||

[27] | Debeljkovic, D.Lj., Lazarevic, M.P., Nenadic, Z.Lj., Milinkovic, S.A., “Finite Time Stability of Time Delay Systems” IMA J. Math. Control and Info., 16 (3). 101-109. 1999. | ||

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[29] | Debeljkovic, D.Lj., Lazarevic, M.P., Koruga, Đ., Milinkovic, S.A., Jovanovic, M.B., “Further results on the stability of linear nonautonomous systems with delayed state defined over finite time interval”, Proc. IEEE ACC 2000, Chicago, Illinois, USA, 1450-1451. June 28-30. 2000. | ||

[30] | Yang, C., Zhang, Q., Lin, Y., Zhou, L., “Practical stability of descriptor systems with time-delay in terms of two measurements”, Journal of the Franklin Institute, 343 (6). 635-646. 2006. | ||

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## Article

# Decoding of the Triple-Error-Correcting Binary Quadratic Residue Codes

^{1}Department of Computer Science and Information Engineering, Fortune Institute of Technology, Kaohsiung, ROC

*Automatic Control and Information Sciences*.

**2014**, 2(1), 7-12

**DOI:**10.12691/acis-2-1-2

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Hung-Peng Lee, Hsin-Chiu Chang. Decoding of the Triple-Error-Correcting Binary Quadratic Residue Codes.

*Automatic Control and Information Sciences*. 2014; 2(1):7-12. doi: 10.12691/acis-2-1-2.

Correspondence to: Hung-Peng Lee, Department of Computer Science and Information Engineering, Fortune Institute of Technology, Kaohsiung, ROC. Email: hpl@fotech.edu.tw

## Abstract

## Keywords

## References

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[[2] | Chen, Y.H., Chien, C.H., Huang, C.H., Truong, T.K., and Jing, M.H., “Efficient decoding of systematic (23, 12, 7) and (41, 21, 9) quadratic residue codes,” J. Inform. Sci. and Eng., 26(5). 1831-1843. Sept. 2010. | ||

[[3] | Elia, M., “Algebraic decoding of the (23, 12, 7) Golay codes,” IEEE Trans. Inform. Theory, 33(1). 150-151. Jan. 1987. | ||

[[4] | Golay, M.J.E., “Notes on digital coding,” Proc. IRE, 37, 657. 1949. | ||

[[5] | Lee, C.D., “Weak general error locator polynomials for triple-error-correcting binary Golay code,” IEEE Comm. Letters, 15(8). 857-859. Aug. 2011. | ||

[6] | Lin, T.C., Chang, H.C., Lee, H.P., Chu, S.I, and Truong, T.K., “Decoding of the (31, 16, 7) quadratic residue code,” J. Chinese Institute of Engineers, 33(4). 573-580. June 2010. | ||

[7] | Lin, T.C., Chang, H.C., Lee, H.P., and Truong, T.K., “On the decoding of the (24, 12, 8) Golay code,” Inform. Sci., 180(23). 4729-4736. Dec. 2010. | ||

[8] | Lin, T.C., Lee, H.P., Chang, H.C., Chu, S.I, and Truong, T.K., “High speed decoding of the binary (47, 24, 11) quadratic residue code,” Inform. Sci., 180(20). 4060-4068. Oct. 2010. | ||

[9] | Lin, T.C., Lee, H.P., Chang, H.C., and Truong, T.K., “A cyclic weight algorithm of decoding the (47, 24, 11) quadratic residue code,” Inform. Sci., 197. 215-222. Aug. 2012. | ||

[10] | Reed, I.S., Shih, M.T., and Truong, T.K., “VLSI design of inverse-free Berlekamp-Massey algorithm,” IEE Proc. Comput. Digit. Tech., 138(5). 295-298. Sept. 1991. | ||

[11] | Reed, I.S., Yin, X., and Truong, T.K., “Algebraic decoding of the (32, 16, 8) quadratic residue code,” IEEE Trans. Inform. Theory, 36 (4). 876-880. July 1990. | ||

[12] | Reed, I.S., Yin, X., Truong, T.K., and Holmes, J.K., “Decoding the (24, 12, 8) Golay code,” IEE Proc. Comput. Digit. Tech., 137(3). 202-206. May 1990. | ||

[13] | Wicker, S.B. Error control systems for digital communication and storage, Prentice Hall, New Jersey, 1995. | ||

## Article

# Evaluating the Partial Derivatives of Four Types of Two-Variables Functions

^{1}Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan

*Automatic Control and Information Sciences*.

**2014**, 2(1), 1-6

**DOI:**10.12691/acis-2-1-1

**Copyright © 2014 Science and Education Publishing**

**Cite this paper:**

Chii-Huei Yu. Evaluating the Partial Derivatives of Four Types of Two-Variables Functions.

*Automatic Control and Information Sciences*. 2014; 2(1):1-6. doi: 10.12691/acis-2-1-1.

Correspondence to: Chii-Huei Yu, Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan. Email: chiihuei@nju.edu.tw

## Abstract

## Keywords

## References

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[[3] | L. E. Fraenkel, “Formulae for high derivatives of composite functions,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 83, pp. 159-165, 1978. | ||

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[[5] | A. Griewank and A. Walther, Evaluating derivatives: principles and techniques of algorithmic differentiation, 2nd ed., SIAM, Philadelphia, 2008. | ||

[6] | C. -H. Yu, “Using Maple to evaluate the partial derivatives of two-variables functions, ” International Journal of Computer Science and Mobile Computing, Vol. 2, Issue. 6, pp. 225-232, 2013. | ||

[7] | C.-H. Yu, “Using Maple to study the partial differential problems,” Applied Mechanics and Materials, in press. | ||

[8] | C. -H. Yu, “Evaluating partial derivatives of two-variables functions by using Maple,” Proceedings of the 6th IEEE/International Conference on Advanced Infocomm Technology, Taiwan, pp. 23-27, 2013. | ||

[9] | C.-H. Yu, “Application of Maple: taking the partial differential problem of some types of two-variables functions as an example,” Proceedings of the International Conference on e-Learning, Taiwan, pp. 337-345, 2013. | ||

[10] | C.-H. Yu, “Application of Maple on the partial differential problem of four types of two-variables functions,” Proceedings of the International Conference on Advanced Information Technologies, Taiwan, No. 87, 2013. | ||

[11] | C.-H., Yu, “Application of Maple: taking the partial differential problem of two-variables functions as an example,” Proceedings of 2013 Business Innovation and Development Symposium, Taiwan, B20130113001, 2013. | ||

[12] | C. -H. Yu and B. -H. Chen, “The partial differential problem,” Computational Research, Vol. 1, No. 3, pp. 53-60, 2013. | ||

[13] | C. -H. Yu, “Partial derivatives of some types of two-variables functions,” Pure and Applied Mathematics Journal, Vol. 2, No. 2, pp. 56-61, 2013. | ||

[14] | R. V. Churchill and J. W. Brown, Complex variables and applications, 4th ed., McGraw-Hill, New York, p 62, 1984. | ||

[15] | T. M. Apostol, Mathematical analysis, 2nd ed., Addison-Wesley, Boston, p 230, 1975. | ||

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