On the observability of linear differential-algebraic systems with delays

IEEE Transactions on Automatic Control

Volumn 51, Issue 8, 2006, Pages 1387-1392

  Marchenko, V M ^a,b   Poddubnaya, O N ^b   Zaczkiewicz, Z ^a  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

^b BELARUSIAN STATE TECHNOLOGICAL UNIVERSITY   (Belarus)

Author keywords

Determining equations; Differential algebraic systems; Duality; Observability; Time delay

Indexed keywords

CONTROLLABILITY; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA;

DETERMINING EQUATIONS; DIFFERENTIAL-ALGEBRAIC SYSTEMS; HAMILTON-CAYLEY MATRIX THEOREM;

OBSERVABILITY;

EID: 33747819233     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.876803     Document Type: Article

References (15)

1. F. M. Kirillova and S. Streltsov, "Necessary optimality conditions for hybrid systems (in Russian)," Upravlyaemye Sistemy (Novosibirsk, vol. 14, pp. 24-26, 1975.
2. A. Akhundov, "Controllability of the linear hybrid systems (in Russian)," Upravlyaemye Sistemy (Novosibirsk), vol. 14, pp. 4-10, 1975.
3. R. Mätz, Solvability of Linear Differential Algebraic Systems With Properly Stated Leading Terms, ser. Results in Mathematics. Basel, Germany: Birkhäuser-Verlag, 2004, vol. 45, pp. 88-95.
4. A. A. Scheglova, "Observability of generate linear hybrid systems with constant coefficients (in Russian)," Avtomat. i Telemekh., no. 11, pp. 86-101, 2004.
5. M. de la Sen, "The reachability and observability of hybrid mulitrate sampling linear systems," Comput. Math. Appl., vol. 3, no. 1, pp. 109-122, 1996.
6. N. N. Krasovskii, "Optimal processes in systems with delay (in Russian)," in Proc. 2nd IFAC Congr., 1965, vol. 2, pp. 201-210.
7. F. M. Kirillova and S. V. Churakova, "On the problem of controllability of linear systems with after-effect (in Russian)," Differential'nye Uravneniya, vol. 3, no. 3, pp. 436-445, 1967.
8. L. Weiss, "On the controllability of delay-differential systems," SIAM J. Control, vol. 5, no. 4, pp. 575-587, 1967.
9. P. Gabasov, R. M. Zhevnyak, F. M. Kirillova, and T. B. Kopeikina, "Conditional observability of linear systems (in Russian)," Prob. Control Inform. Theory, vol. 1, no. 3, pp. 217-238, 1972.
10. P. Gabasov and F. M. Kirillova, "Modern state of the theory of optimal processes (in Russian)," Avtomat. i Telemekh., no. 9, pp. 31-62, 1972.
11. P. Gabasov and F. M. Kirillova, The Qualitative Theory of Optimal Processes, ser. Lecture Notes in Control and Systems Theory. New York: Marcel Dekker, 1976, vol. 3.
12. V. M. Marchenko, "On the controllability of systems with time-delay (in Russian)," Izv. Vyssh. Uchebn. Zvaed. Mat., no. 1, pp. 54-65, 1978.
13. H. Górecki, S. Fuksa, P. Grabovski, and A. Korytowski, Analysis and Syntesis of Time Delay systems. Warsaw, Poland: PWN, 1989, 369 p..
14. V. M. Marchenko and O. N. Poddubnaya, "Relative controllability of stationary hybrid systems," in Proc. IEEE Methods and Models in Automation and Robotics (MMAR 2004), Miedzyzdroje, Poland, Aug./Sep. 2004, pp. 267-272.
15. V. M. Marchenko and O. N. Poddubnaya, "Solution expansions of hybrid linear control systems into series of their determining equation solutions (in Russian)," Kibern. Vychisl. Tekhn., vol. 135, pp. 39-49, 2002.