Research Interests
1) Stability Theory of Dynamical Systems with emphasis on Lyapunov stability theory for uncertain nonlinear deterministic systems described by:
a. finite or infinite dimensional difference equations [12, 14, 37, 46, 59],
b. ordinary differential equations [5, 6, 7, 8, 9, 19, 20, 21, 22, 39, 45, 46, 65, 93, 96, 105, 130, S3],
c. delay differential and integral equations [8, 13, 19, 20, 21, 26, 27, 32, 35, 39, 46, 48, 56, 64, 69, 71, 93, 96, 109, 113, 114, 124, BC1, BC4],
d. first-order hyperbolic partial differential equations [32, 56, 69, 83, 86, BC4, BC6],
e. parabolic partial differential equations [63, 67, 72, 76, 79, 93, 94, BC6],
f. coupled retarded functional differential equations and functional difference equations [19, 20, 21, 23, 39, 46],
g. impulsive differential equations (hybrid systems, systems under sampled-data control) [16, 19, 20, 21, 31, 39, 46, 66, 68, 72],
h. coupled partial differential equations and higher-order partial differential equations [74, 97, 102, 105, 107, 115, 116, 118].
2) Mathematical Systems and Control Theory with emphasis on the solution of robust feedback stabilization problems [1, 2, 3, 4, 5, 10, 11, 15, 16, 17, 22, 25, 29, 30, 33, 35, 36, 40, 42, 44, 49, 51, 52, 53, 55, 56, 57, 60, 61, 62, 68, 69, 70, 72, 80, 81, 82, 83, 85, 89, 90, 91, 92, 95, 98, 101, 102, 107, 108, 109, 110, 117, 120, 121, 123, 125, 127, 129, 131, 132, BC2, BC3, BC4, BC5, S1, S2, S3, S4], regulation problems [70, 75, 78, 87, 96, 99, 100, 103, 104, 106, 111, 117, 119, 120, 127, 128, S4], tracking control problems [1, 4, 6, 58, 73] and observer design/existence problems [11, 18, 24, 34, 41, 43, 47, 50, 66, 77, 84, 88, 89, 122] for deterministic control systems of the above classes.
3) Applications of major results of Mathematical Control Theory to Game Theory [37], Fixed Point Theory [37], Nonlinear Programming [54, 65], Mathematical Biology [22, 30, 33, 46, 47, 69, S2], Mathematical Economics [28, 37], Mathematical Physics [86, 97] and Numerical Analysis [38, 116, 126].
4) Applications of major results of Numerical Analysis to Mathematical Systems and Control Theory [12, 25, 40, 57, 58, 61, BC5].
5) Mathematical modeling of traffic systems [59, 60, 62, 70, 80, 81, 83, 101, 104, 105, 108, 118, 126, 128, 129] and modeling of physical, chemical, biological and economic phenomena [22, 28, 33, 37, 69, 73, 74].
6) Applications of major results of Non-Smooth Analysis and Set-Valued Analysis to Mathematical Systems and Control Theory [3, 17].
Participation in Research Programs
February 2013 – February 2018: Member of the research team for the research program “TRAMAN21 (Traffic Management for the 21st Century)”. Funding from the European Union (European Research Council). Website: http://www.traman21.tuc.gr/
October 2019 – Now: Member of the research team for the research program “TrafficFluid: Lane-free Artificial-Fluid Environment for Vehicular Traffic”. Funding from the European Union (European Research Council). Website: https://www.trafficfluid.tuc.gr/index.php?id=11785