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Legacy of Mohammed Dahleh

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Multidisciplinary Research in Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 289))

Abstract

Mohammed led a broad research program that manifested itself in: key publications within and outside the control community, in a number of students with superb multidisciplinary training, a number of organized workshops that attracted researchers from all over the world, and friendships within the control community that became an integral part of Mohammed’s life. In this article, I will attempt to describe aspects of Mohammed’s broad and diverse legacy in our community.

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References

  1. M. Dahleh, R. Nevels, L. Tsang, “Plane-Wave Diffraction by a Dielectric-Coated Corrugated Surface,” J. Applied Physics, Vol. 58, No. 2, pp. 646–650, 15 July, 1985.

    Article  Google Scholar 

  2. M. Dahleh, W. E. Hopkins, Jr., “Adaptive Stabilization of Single-Input Single-Output Delay Systems,” IEEE Trans. Automat. Contr., Vol. AC-31, No.6, pp. 577–579, June, 1986.

    Article  MathSciNet  Google Scholar 

  3. A. P. Peirce, M. Dahleh and H. Rabitz, “Optimal Control of Quantum Mechanical Systems: Existence, Numerical Approximations and Applications,” Physical Review A, Vol. 37, No. 12, pp. 4950–4964, 15 June, 1988.

    Article  MathSciNet  Google Scholar 

  4. M. Dahleh, “Sufficient Information for the Adaptive Stabilization of Delay Systems,” Systems and Control Letters, Vol. 11, No. 5, pp. 357–363, November, 1988.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Dahleh, “Generalization of Tychonov’s Theorem with Application to Adaptive Control of SISO Delay Systems,” Systems and Control Letters, Vol. 13, No. 5, pp. 421–427, December, 1989.

    Article  MATH  MathSciNet  Google Scholar 

  6. M. Dahleh, M. A. Dahleh, “Optimal Rejection of Persistent and Bounded Disturbances: Continuity Properties and Adaptation,” IEEE Trans. on Automat. Contr., Vol. AC-35, No. 6, pp. 687–696, June, 1990.

    Article  MathSciNet  Google Scholar 

  7. H. Chapellat, S. P. Bhattacharyya, and M. Dahleh, “Robust Stability of a Family of Disc Polynomials,” International Journal of Control, Vol. 51, No. 6, pp. 1353–1362, June, 1990.

    Article  MATH  MathSciNet  Google Scholar 

  8. M. Dahleh, A. Peirce, and H. Rabitz, “Optimal Control of Uncertain Quantum Systems,” Physical Review A, Vol. 42, No. 3, pp. 1065–1079, August, 1990.

    Article  Google Scholar 

  9. H. Chapellat, M. Dahleh, and S. P. Bhattacharyya, “Robust Stability Under Structured and Unstructured Perturbations,” IEEE Trans. Automat. Contr., Vol. AC-35, No. 10, pp. 1100–1108, October, 1990.

    Article  MathSciNet  Google Scholar 

  10. H. Chapellat, M. Dahleh, and S. P. Bhattacharyya, “On Robust Nonlinear Stability of Interval Control Systems,” IEEE Trans. Automat. Contr., Vol. AC-36, No. 1, pp. 59–67, January, 1991.

    Article  MathSciNet  Google Scholar 

  11. M. Dahleh, and M. A. Dahleh, “On Slowly Time Varying Systems,” Automatica, Vol. 27, No. 1, pp. 201–205, January, 1991.

    Article  MATH  MathSciNet  Google Scholar 

  12. M. Dahleh, and A. P. Peirce, “Numerical Solution of a Class of Parabolic Partial Differential Equations Arising in Optimal Control Problems with Uncertainty,” Numerical Methods for Partial Differential Equations: An International Journal, Vol. 8, No. 1, pp. 77–95, January, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  13. M. Dahleh, A. P. Peirce, H. Rabitz, “Design Challenges for Control of Molecular Dynamics,” IEEE Control Systems Magazine, Vol. 12, No. 2, pp. 93–94, April, 1992.

    Article  Google Scholar 

  14. M. Khammash, and M. Dahleh, “Time-Varying Control and the Robust Performance of Systems with Structured Norm-Bounded Perturbations,” Automatica, Vol. 28, No. 4, pp. 819–821, July, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  15. K. L. Moore, M. Dahleh, S. P. Bhattacharyya, “Iterative Learning Control: A Survey and New Results,” Journal of Robotic Systems, Vol.9, No. 5, pp. 563–594, July, 1992.

    Article  MATH  Google Scholar 

  16. H. Chapellat, M. Dahleh, “Analysis of Time-Varying Control Strategies for Optimal Disturbance Rejection and Robustness,” IEEE Trans. on Automatic Control, Vol. 37, No. 11, pp. 1734–1745, November, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  17. H. Chapellat, M. Dahleh, and S. P. Bhattacharyya, “Robust Stability Manifolds for Multilinear Interval Systems,” IEEE Trans. on Automatic Control, Vol. 38, No. 2, pp. 314–318, February, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  18. W. S. Warren, H. Rabitz, and M. Dahleh, “Coherent Control of Quantum Dynamics: The Dream is Alive,” Science, Vol. 259, No. 5101, pp. 1581–1589, March 1993.

    Article  MathSciNet  Google Scholar 

  19. M. Dahleh, A. Tesi, and A. Vicino, “Robust Stability and Performance of Interval Plants,” Systems and Control Letters, Vol. 19, No. 4., pp. 353–363, November, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  20. M. Dahleh, A. Tesi, and A. Vicino, “An Overview of Extremal Properties for Robust Control of Interval Plants,” Automatica, Vol. 29, No. 3, pp. 707–721, May, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  21. M. Dahleh, A. Tesi, and A. Vicino, “On the Robust Popov Criterion for Interval Lur’e Systems,” IEEE Trans. on Automatic Control, Vol. 38, No. 9, pp. 1400–1405, September, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  22. K. L. Moore, S. P. Bhattacharyya, M. Dahleh, “Capabilities and Limitations of Multirate Control Schemes,” Automatica, Vol. 29, No. 4, pp. 941–951, July 1993.

    Article  MATH  MathSciNet  Google Scholar 

  23. H. Chapellat, M. Dahleh, and S. P. Bhattacharyya, “Structure and Optimality of Multivariable Periodic Controllers,” IEEE Trans. on Automatic Control, Vol. 38, No. 8, pp. 1300–1303, August 1993.

    Article  MATH  MathSciNet  Google Scholar 

  24. B. Bamieh, and M. Dahleh, “On Robust Stability with Structured Time-Invariant Perturbations,” Systems and Control Letters, Vol. 21, No. 2, pp. 103–108, August 1993.

    Article  MATH  MathSciNet  Google Scholar 

  25. M. Dahleh, M. Ricci, “On the SPR Condition in Output Error Estimation Schemes,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 115, No. 4, pp. 704–708, December, 1993.

    Article  MATH  Google Scholar 

  26. V. Ramakrishna, M. Salapaka, M. Dahleh, H. Rabitz, and A. Peirce, “Control-lability of Molecular Systems,” Physical Review A, Vol. 51, No. 2, pp. 960–966, February, 1995.

    Article  Google Scholar 

  27. M. Dahleh, A. Peirce, H. Rabitz, and V. Ramakrishna, “Control of Molecular Motion,” Proceedings of the IEEE, Vol. 84, No. 1, pp. 7–15, January 1996.

    Article  Google Scholar 

  28. M. Dahleh, “On Robust Stability and Performance with Time-Varying Control,” ASME Journal of Dynamic Systems Measurement and Control, Vol. 117, No. 4, pp. 635–637, December 1995.

    Article  MATH  MathSciNet  Google Scholar 

  29. M. Dahleh, A. Megretski, and B. Bamieh, “On Robust Stability and Performance with 2 and Perturbations,” Systems and Control Letters, Vol. 28, pp. 1–6, 1996.

    Article  MATH  MathSciNet  Google Scholar 

  30. M. Salapaka, P. Voulgaris, and M. Dahleh, “ Controller Design to Optimize a Composite Performance Measure,” Journal of Optimization Theory and Applications, Vol. 91, No. 1, pp. 91–113, October 1996.

    Article  MATH  MathSciNet  Google Scholar 

  31. M. Salapaka, P. Voulgaris, and M. Dahleh, “SISO Controller Design To Minimize A Positive Combination of the 1 and \( \mathcal{H}_2 \) Norms,” Automatica, Vol. 33, No. 3, pp. 387–391, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  32. M. Salapaka, M. Dahleh, and P. Voulgaris, “Mixed Objective Control Synthesis: Optimal 1/ \( \mathcal{H}_2 \) Control,” SIAM Journal on Control and Optimization, Vol. 35, No. 5, pp. 1672–1689, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  33. B. Bamieh, and M. Dahleh, “On Robust Performance in \( \mathcal{H}^\infty \) ”, Systems and Control Letters, Vol. 33, pp. 301–305, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  34. M. Salapaka, M. Dahleh, and P. Voulgaris, “MIMO Optimal Control Design: the Interplay between the \( \mathcal{H}_2 \) and 1 Norms,” IEEE Trans. on Automatic Control, Vol. 43, No. 10, pp. 1374–1388, October, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  35. D. D’Alessandro, M. Dahleh, I. Mezić, “Control of Mixing in Fluid Flow: a Maximum Entropy Appoach, IEEE Trans. Automat. Control, Vol. 44, No. 10, pp. 1852–1863, October, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  36. M. Napoli, B. Bamieh, M. Dahleh, “Optimal control of arrays of microcantilevers”, J DYN SYST-T ASME, 121(4): 686–690, December, 1999.

    Article  Google Scholar 

  37. M. V. Salapaka, M. Khammash, and M. Dahleh, “Solution of MIMO \( \mathcal{H}_2 \) / 1 Problem without Zero Interpolation,” SIAM Journal on Control and Optimization, Vol. 37, No. 6, pp. 1865–1873, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  38. M. Ashhab, M. V. Salapaka, M. Dahleh, and I. Mezić, “Melnikov-based dynamical analysis of microcantilevers in scanning probe microscopy”, Nonlinear Dynamics, 20:(3), pp. 197–220, November 1999.

    Article  MATH  MathSciNet  Google Scholar 

  39. M. Ashhab, M. V. Salapaka, M. Dahleh, and I. Mezić, “Dynamical analysis and control of micro-cantilevers”, Automatica, Vol. 35, no. 10, 1663–1670 October 1999

    Article  MATH  Google Scholar 

  40. M. Basso, L. Giarré, M. Dahleh and I. Mezić, “Complex dynamics in a harmonically excited Lennard-Jones oscillator: Microcantilever-sample interaction in scanning probe microscopes,” ASME Journal of Dynamics Systems, Measurement and Control, vol. 122, pp. 240–245, 2000.

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  41. S. Salapaka, M. Dahleh and I. Mezić, On the dynamics of a harmonic oscillator undergoing impacts with a vibrating platform Nonlinear Dynamics, Vol 24, Pages 333–358, 2001

    MATH  Google Scholar 

  42. Bamieh B, Dahleh M, “Energy amplification in channel flows with stochastic excitation”, Phisics Fluids 13(11): 3258–3269, 2001.

    Article  MathSciNet  Google Scholar 

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Dahleh, M.A. (2003). Legacy of Mohammed Dahleh. In: Giarré, L., Bamieh, B. (eds) Multidisciplinary Research in Control. Lecture Notes in Control and Information Sciences, vol 289. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36589-3_1

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  • DOI: https://doi.org/10.1007/3-540-36589-3_1

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