Key discoveries

and launches of new topics

in control theory

PhD: 1991-1995
1992-94	adaptive nonlinear control: · tuning functions[1] design · nonlinear swapping[2] · passivity-based identifiers[3] · adaptive CLFs[4] · ISS-CLFs for modular designs[5] · output-feedback nonlinear controllers with K-filters · transient performance improvement[6] · proof of parameter estimate convergence to destabilizing parameters without PE[7]
Assistant professor (1995-1997) and associate professor (1997-2000)
1997	stochastic backstepping[8]
1997	proof of stability of extremum seeking[9]
Full Professor (2000-)
2001	noise-to-state stability (NSS) and inverse optimal stochastic differential games with unknown noise covariance[10]
2001	PDE backstepping for parabolic PDEs[11][12][13]
2003	fluid mixing by optimal de-stabilization[14]
2006	non-overshooting (“safe”) control for high relative degree CBFs and ISSf gain assignment under disturbances[15]
2007	turbulent Navier-Stokes[16] and magnetohydrodynamics[17] stabilization
2008	PDE backstepping for hyperbolic PDEs[18]
2008	adaptive PDE backstepping[19]
2009	delay-adaptive control[20]
2009	backstepping for PDE-ODE[21] and PDE-PDE[22] cascades
2009	source seeking[23]
2010	stochastic extremum seeking[24]
2010	nonlinear predictors for long delays in nonlinear ODEs[25]
2012	Nash equilibrium seeking[26]
2012	Newton extremum seeking[27]
2013	model-free stabilization by extremum seeking[28]
Distinguished professor (2015-)
2016	ISS for PDEs (with boundary inputs)[29]
2017	extremum seeking under delays,[30] followed by ES for PDEs[31]
2017	prescribed-time stabilization,[32] observers,[33][34] and stochastic control[35]
2019	traffic stop-and-go stabilization[36]
2019	control of Stefan PDEs for additive manufacturing[37]
2021	safe/non-overshooting stochastic control[38]
2024	prescribed-time safety and safety filters[39]
2024	inverse optimal safety filters[40]
2024	safety filters and CBFs for PDEs[41]
2024	deep learning-based PDE control[42][43]

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[1] M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, “Adaptive nonlinear control without overparametrization,” Systems Control Letters, vol. 19, pp. 177--185, 1992.

[2] M. Krstic and P. V. Kokotovic, “Adaptive nonlinear design with controller-identifier separation and swapping,” IEEE Transactions on Automatic Control, vol. 40, pp. 426--441, 1995.

[3] M. Krstic and P. V. Kokotovic, “Observer-based schemes for adaptive nonlinear state-feedback control,” International Journal of Control, vol. 59, pp. 1373--1381, 1994.

[4] M. Krstic and P. V. Kokotovic, “Control Lyapunov functions for adaptive nonlinear stabilization,” Systems Control Letters, vol. 26, pp. 17--23, 1995.

[5] M. Krstic and P. V. Kokotovic, “Modular approach to adaptive nonlinear stabilization,” Automatica, vol. 32, pp. 625--629, 1996.

[6] M. Krstic, P. V. Kokotovic and I. Kanellakopoulos, “Transient performance improvement with a new class of adaptive controllers,” Systems Control Letters, vol. 21, pp. 451--461, 1993.

[7] M. Krstic, “Invariant manifolds and asymptotic properties of adaptive nonlinear stabilizers,” IEEE Transactions on Automatic Control, vol. 41, pp. 817--829, 1996.

[8] H. Deng and M. Krstic, “Stochastic nonlinear stabilization---Part I: A backstepping design,” Systems and Control Letters, vol. 32, pp. 143-150, 1997.

[9] M. Krstic and H. H. Wang, “Design and stability analysis of extremum seeking feedback for general nonlinear systems,” 1997 IEEE Conference on Decision and Control.

[10] H. Deng, M. Krstic, and R. Williams, “Stabilization of stochastic nonlinear systems driven by noise of unknown covariance,” IEEE Transactions on Automatic Control, vol. 46, pp. 1237-1253, 2001.

[11] D. Boskovic, M. Krstic, and W.-J. Liu, “Boundary control of an unstable heat equation via measurement of domain-averaged temperature,” IEEE Transactions on Automatic Control, vol. 46, pp. 2022-2028, 2001.

[12] Balogh and M. Krstic, “Infinite-dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability,”  European Journal of Control, vol. 8, pp. 165-177, 2002.

[13] Smyshlyaev and M. Krstic, “Closed form boundary state feedbacks for a class of 1-D partial integro-differential equations,” IEEE Transactions on Automatic Control, vol. 49, pp. 2185-2202, 2004.

[14] O. M. Aamo, M. Krstic, and T. R. Bewley, “Control of mixing by boundary feedback in 2D channel flow,” Automatica, vol. 39, pp. 1597-1606, 2003.

[15] M. Krstic and M. Bement, “Non-overshooting control of strict-feedback nonlinear systems,” IEEE Transactions on Automatic Control, vol. 51, pp. 1938-1943, 2006.

[16] R. Vazquez and M. Krstic, “A closed-form feedback controller for stabilization of the linearized 2D Navier-Stokes Poiseuille flow,” IEEE Transactions on Automatic Control, vol. 52, pp. 2298-2312, 2007.

[17] Xu, E. Schuster, R. Vazquez, and M. Krstic, “Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control,” Systems & Control Letters, vol. 57 pp. 805-812, 2008.

[18] M. Krstic and A. Smyshlyaev, “Adaptive boundary control for unstable parabolic PDEs - Part I: Lyapunov design,” IEEE Transactions on Automatic Control, vol. 53, pp. 1575-1591, 2008.

[19] M. Krstic and A. Smyshlyaev, “Adaptive boundary control for unstable parabolic PDEs - Part I: Lyapunov design,” IEEE Transactions on Automatic Control, vol. 53, pp. 1575-1591, 2008.

[20] Bresch-Pietri and M. Krstic, “Adaptive trajectory tracking despite unknown input delay and plant parameters,” Automatica, vol. 45, pp. 2075-2081, 2009.

[21] M. Krstic, “Compensating actuator and sensor dynamics governed by diffusion PDEs,” Systems and Control Letters, vol. 58, pp. 372-377, 2009.

[22] M. Krstic, “Control of an unstable reaction-diffusion PDE with long input delay,” Systems and Control Letters, vol. 58, pp 773-782, 2009.

[23] J. Cochran and M. Krstic, “Nonholonomic source seeking with tuning of angular velocity,” IEEE Transactions on Automatic Control, vol. 54, pp. 717-731, 2009.

[24] S.-J. Liu and M. Krstic, “Stochastic averaging in continuous time and its applications to extremum seeking,” IEEE Transactions on Automatic Control, vol. 55, pp. 2235-2250, 2010.

[25] M. Krstic, “Input delay compensation for forward complete and feedforward nonlinear systems,” IEEE Transactions on Automatic Control, vol. 55, pp. 287-303, 2010.

[26] P. Frihauf, M. Krstic, and T. Basar, “Nash equilibrium seeking in non-cooperative games,” IEEE Transactions on Automatic Control, vol. 57, pp. 1192-1207, 2012.

[27] Ghaffari, M. Krstic, and D. Nesic, “Multivariable Newton-based extremum seeking,” Automatica, vol. 48, pp. 1759-1767, 2012.

[28] Scheinker and M. Krstic, “Minimum-seeking for CLFs: Universal semiglobally stabilizing feedback under unknown control directions,” IEEE Transactions on Automatic Control, vol. 58, pp. 1107-1122, 2013.

[29] Karafyllis and M. Krstic, “ISS with respect to boundary disturbances for 1-D parabolic PDEs,” IEEE Transactions on Automatic Control, vol. 61, pp. 3712-3724, 2016.

[30] T. R. Oliveira, M. Krstic, and D. Tsubakino, “Extremum seeking for static maps with delays,” IEEE Transactions on Automatic Control, vol. 62, pp. 1911-1926, 2017.

[31] T. R. Oliveira, J. Feiling, S. Koga, and M. Krstic, “Multivariable extremum seeking for PDE dynamic systems,” IEEE Transactions on Automatic Control, vol. 65, pp. 4949-4956, 2020.

[32] Y.-D. Song, Y.-J. Wang, J. C. Holloway, and M. Krstic, “Time-varying feedback for robust regulation of normal-form nonlinear systems in prescribed finite time,” Automatica, pp. 83, pp. 243-251, 2017.

[33] J. Holloway and M. Krstic, “Prescribed-time observers for linear systems in observer canonical form,” IEEE Transactions on Automatic Control, vol. 64, pp. 3905-3912, 2019.

[34] J. Holloway and M. Krstic, “Prescribed-time output feedback for linear systems in controllable canonical form,” Automatica, vol. 107, pp. 77-85, 2019.

[35] W.-Q. Li and M. Krstic, “Prescribed-time output-feedback control of stochastic nonlinear systems,” IEEE Transactions on Automatic Control, vol. 68, pp. 1431-1446, 2023.

[36] H. Yu and M. Krstic, “Traffic congestion control of Aw-Rascle-Zhang model,” Automatica, vol. 100, pp. 38-51, 2019.

[37] S. Koga, M. Diagne, and M. Krstic, “Control and state estimation of the one-phase Stefan problem via backstepping design,” IEEE Transactions on Automatic Control, vol. 64, pp. 510-525, 2019.

[38] W.-Q. Li and M. Krstic, “Prescribed-time mean-nonovershooting control under finite-time vanishing noise,” SIAM Journal of Control and Optimization, vol. 61, pp. 1187-1212, 2023.

[39] Abel, D. Steeves, M. Krstic, and M. Jankovic, “Prescribed-time safety feedback design for strict-feedback nonlinear systems,” IEEE Transactions on Automatic Control, vol. 69, pp. 1464-1979, 2024.

[40] M. Krstic, “Inverse optimal safety filters,” IEEE Transactions on Automatic Control, vol. 69, pp. 16-31, 2024.

[41] S. Koga and M. Krstic, “Safe PDE backstepping QP control with high relative degree CBFs: Stefan model with actuator dynamics,” IEEE Transactions on Automatic Control, to appear.

[42] L. Bhan, Y. Shi, and M. Krstic, “Neural operators for bypassing gain and control computations in PDE backstepping,” IEEE Transactions on Automatic Control, to appear.

[43] M. Krstic, L. Bhan, Y. Shi, "Neural operators of backstepping controller and observer gain functions for reaction-diffusion PDEs,” Automatica, paper 111649, 2024.