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nonlinear control design; sliding mode control; heat equation

References:

[1] Ackermann J., Utkin V.: **Sliding mode control based on Ackermann’s formula**. IEEE Trans. Automat. Control 43 (1998), 2, 234–237 DOI 10.1109/9.661072 | MR 1605958

[2] Barbieri E., Drakunov S.: **Manifold control and observation of Jordan forms with application to distributed parameter systems**. In: Proceedings of the 1998 Conference on Decision and Control (CDC), Tampa, Fl

[3] Barbieri E., Özgüner Ü.: **Unconstrained and constrained mode expansions for a flexible slewing link**. ASME J. Dynamic Systems, Measurement and Control 110 (1988), 4, 416–421 DOI 10.1115/1.3152705

[4] DeCarlo R., Zak S., Drakunov S.: **Variable structure and sliding mode control**. In: The Control Handbook (W. S. Levine, ed.), CRC Press, Boca Raton, Fl. 1996, pp. 941–950

[5] Drakunov S., Ozguner U.: **Generalized sliding modes for manifold control of distributed parameter systems**. In: Variable Structure and Lyapunov Control (Lecture Notes in Control and Information Sciences Series 193, A. S. I. Zinober, ed.), Springer–Verlag, Berlin 1994, pp. 109–132

[6] S. S. Drakunov, Barbieri E.: **Sliding surfaces design for distributed parameter systems**. In: Proceedings of the 1997 American Control Conference (ACC), Albuquerque 1997, pp. 3023–3027

[7] Drakunov S., Barbieri E., Silver D.: **Sliding mode control of a heat equation with application to arc welding**. In: Proceedings of the 1996 IEEE International Conference on Control Applications, Dearborn 1996, pp. 668–672

[8] Drakunov S., Utkin V.: **Sliding mode control in dynamic systems**. Internat. J. Control 55 (1992), 4, 1029–1037 DOI 10.1080/00207179208934270 | MR 1154664 | Zbl 0745.93031

[9] Meirovitch L.: **Analytical Methods in Vibrations**. MacMillan, New York 1967 Zbl 0166.43803

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[11] Russell D.: **Observability of linear distributed–parameter systems**. In: The Control Handbook (W. S. Levine, ed.), CRC Press, Boca Raton, Fl. 1996, pp. 1169–1175

[12] Segel L. A.: **Mathematics Applied to Continuum Mechanics**. MacMillan, New York 1977 MR 0502508 | Zbl 1142.74001