Extreme-point robust stability of a class of discrete-time polynomials

Electronics Letters

Volumn 32, Issue 15, 1996, Pages 1421-1422

  Shim, K H ^a   Lim, J T ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Discrete time systems; Polynomials; Stability

Indexed keywords

CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); ROOT LOCI; SYSTEM STABILITY; THEOREM PROVING;

DISCRETE TIME POLYNOMIALS; EXTREME POINT STABILITY TEST; KHARITONOV THEOREM; ROBUST STABILITY;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0030189310     PISSN: 00135194     EISSN: None     Source Type: Journal    
DOI: 10.1049/el:19960941     Document Type: Article

References (6)

1. KHARITONOV, V.L.: 'Asymptotic stability of an equilibrium position of family of systems of linear differential equations', Differential Equations, 1979, 14, pp. 1483-1485
2. BARMISH, B.R.: 'New tools for robustness of linear systems'. (Macmillan, 1994)
3. BOSE, N., and ZEHEB, E.: 'Kharitonov's theorem and stability test of multidimensional digital filters', IEE Proc.-G Electron. Circuit Syst., 1986, 133, (4), pp. 187-190
4. BARTLETT, A., HOLLOT, C., and LIN, H.: 'Root locations of an entire polytope of polynomials: It suffices to check the edges', Math. Cont. Sig. Syst., 1987, 1, pp. 61-71
5. HOLLOT, C., and BARLETT, A.: 'Some discrete-time counterparts to Kharitonov's stability theorem for uncertain systems', IEEE Trans. Automat. Contr., 1986, AC-31, pp. 355-356
6. PEREZ, F., DOCAMPO, D., and AABDALLAH, C.: 'Extreme-point robust stability results for discrete-time polynomials', IEEE Trans. Automat. Contr., 1994, 39, (7), pp. 1470-1472