(PDF) Correction to " Linear Functional Observers for Systems With Delays in State Variables "

In the above paper, 1 some typographical errors appeared that need to be corrected. In (17), the sign = should be dropped. The (2; 2) block of matrix 51 at the bottom of page 494 and the matrix in (28) at the bottom of p. 495 should be 0m(1 + 2) 01 P: The first block of matrices B2 and B3 should be m0 and m, respectively. V (e; t) = ke(t)k 2 P + 0 0 t t+ 01 1 kNe(s)k 2 P ds + t t+0 01 2 kN d e(s)k 2 P ds d where ke(t)k 2 P = e T (t)Pe(t) and inequality (27) should be _ V (e; t) e T (t) (N + N d) T P + P (N + N d) + m (1 + 2)PN d P 01 N T d P + m (01 1)N T PN + m 01 2 N T d PN d e(t)

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 46, NO. 10, OCTOBER 2001 [2] C. A. Desoer and M. Vidyasagar, Feedback Systems: Input–Output Properties. New York: Academic, 1975. [3] M. Vidyasagar, Nonlinear Systems Analysis, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1993. 1677 The Lyapunov–Krasovskii functional on p. 495 before (27) should be V (e; t) = ke(t)kP2 + 0 t 0 t+ 01 1 kNe(s)kP2 ds + where ke(t)kP2 d Correction to “Further Results on Variable Output Feedback Controller” 0m (1 + 2 )01 P: B3 = eT (t)Pe(t) and inequality (27) should be 2 In the above paper,1 some typographical errors appeared that need to be corrected. In (17), the sign = should be dropped. The (2; 2) block of matrix 51 at the bottom of page 494 and the matrix in (28) at the bottom of p. 495 should be and 02 1 kNd e(s)kP2 ds d + m (1 + 2 )P Nd P 01 NdT P + m (01 1 )N T P N + m 01 N T P Nd e(t) M. Darouach B2 0 t+ V_ (e; t) eT (t) (N + Nd )T P + P (N + Nd ) Correction to “Linear Functional Observers for Systems With Delays in State Variables” The first block of matrices respectively. t C. Kwan should be m 0 and m , Manuscript received April 25, 2001 The author is with the CRAN, IUT de Longwy, 54400 COSNES et ROMAIN, France (e-mail: darouach@iut-longwy.u-nancy.fr). Publisher Item Identifier S 0018-9286(01)09543-5. 1M. Darouach, IEEE Trans. Automat. Contr., vol 46, pp. 491–496, Mar. 2001. In the above paper,1 the incorrect title appeared. The corrected title should read as follows: “Further Results on Variable Structure Output Feedback Controllers.” Also, on p. 1506 of the above paper,1 the third line after (8), there was an error in part of the second inline equation. The full corrected inline equations appear as follows: f01 ; 02 ; . . . ; 0n0m g with Refi g > 0; i = 1; 2; . . . ; n 0 m. Manuscript received September 17, 2001. The author is with Intelligent Automation, Inc., Rockville, MD 20855 USA. Publisher Item Identifier S 0018-9286(01)10147-9. 1C. Kwan, IEEE Trans. Automat. Contr., vol 46, pp. 1505–1508, Sept. 2001. 0018-9286/01$10.00 © 2001 IEEE

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Correction to " Linear Functional Observers for Systems With Delays in State Variables "

Correction to " Linear Functional Observers for Systems With Delays in State Variables "

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