Simple Instability Criterion for a Class of Uncertain Discrete Systems

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 53, Issue 5, 2006, Pages 409-411

  Sun, Yeong Jeu ^a  

^a I SHOU UNIVERSITY   (Taiwan)

Author keywords

Discrete systems; linear algebra; stability; uncertain systems

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; LINEAR ALGEBRA; NUMERICAL METHODS; SYSTEM STABILITY;

INSTABILITY CRITERION; SIMPLE INSTABILITY; SYSTEMS CLASS INSTABILITY; UNCERTAIN DISCRETE SYSTEMS;

UNCERTAIN SYSTEMS;

EID: 33646878283     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2006.869913     Document Type: Article

References (13)

1. G. Chen and S. T. Liu, “Linearization, stability, and oscillation of the discrete delayed logistic system,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 6, pp. 822–826, Jun. 2003.
2. R. S. Gau, Y. J. Sun, and J. G. Hsieh, “Exponential staility criterion for a class of nonlinear discrete systems,” in Proc. 2002 IEEE Int. Conf. Ind. Technol., Bangkok, Thailand, 2002, pp. 1278–1281.
3. J. Gregor, “Stability of nonconvolutional n-D linear discrete systems,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl, vol. 49, no. 11, pp. 1773–1781, Nov. 2002.
4. B. M. Goltsman and Y. I. Ravich, “The thermocouple temperature instability,” in Proc. 1997 Int. Conf. Thermoelect., vol. 1, Dresden, Germany, 1997, p. 748.
5. T. H. Li and J. S. Chiou, “A new D-stability criterion of multiparameter singularly perturbed discrete systems,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 9, pp. 1226–1230, Sep. 2002.
6. N. E. Mastorakis, “A new method for computing the stability margin of 2-D discrete systems,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 11, pp. 1363–1365, Nov. 2001.
7. A. Polanski, “Destabilizing strategies for uncertain linear systems,” IEEE Trans. Autom. Contr., vol. AC-45, no. 12, pp. 2378–2382, Dec. 2000.
8. Y. J. Sun, “Annular bounds for the roots of characteristic equations of uncertain discrete systems,” ASME J. Dyn. Syst., Measur., Contr., vol. 125, pp. 202–204, 2003.
9. Y. J. Sun, “Simple instability criteria for a family of complex-coefficient polynomials,” J. Chin. Inst. Eng., vol. 26, pp. 371–374, 2003.
10. Y. J. Sun and G. J. Yu, “Delay-dependent exponential stability criteria for nonlinear time-varying discrete systems with multiple time delays,” J. Franklin Inst., Eng. Appl. Math., vol. 334B, pp. 659–666, 1997.
11. Y. J. Sun, J. H. Horng, and J. G. Hsieh, “A note on the circular bound of polynomial zeros,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 43, no. 6, pp. 476–478, Jun. 1996.
12. E. Zeheb, “On the largest modulus of polynomial zero,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 38, no. 3, pp. 333–337, Mar. 1991.
13. M. S. Zilovic, L. M. Roytman, P. L. Combettes, and M. N. S. Swamy, “A bound for the zeros of polynomials,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 6, pp. 476–478, Jun. 1992.