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Perfil investigador
Esp
Dr. Cutberto Salvador Romero Meléndez

Professor
Departament of Basic Sciences

Division of Basic Sciences and Engineering


Level 1
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Azcapotzalco Campus

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Sustainable Development Goals

• 15 Life on Land


Research interests

• Theoretical and experimental research
• Instrumentation and control
• Optimization of energy and other resources
• Sub-Riemannian Geometry and Optimal Control in non-linear evolution systems

Profile

Professor Cutberto Romero Meléndez received a Ph.D. degree in Mathematics with the thesis entitled "Complexité métrique sous-Riemanniene" and the Diplôme d'etudes approfondies in Control Theory at the Université de Bourgogne, in Dijon, France, in 2004 and 2000, respectively. In 1995 he obtained a Master's degree in Mathematics at the Universidad Autónoma Metropolitana (UAM), Iztapalapa Campus with the thesis "Stability of differential equations with periodic coefficients and parametric resonance" and in 1985 he obtained a Bachelor's degree in Mathematics at the Escuela Superior de Física y Matemáticas of the Instituto Politécnito Nacional (IPN) with the thesis entitled "Decidable and undecidable theories". His research area is Geometric Control and its applications to Robotics.

Among the courses he has taught at UAM Azcapotzalco Campus, are: Introduction to Calculus, Complementary Mathematics, Differential Calculus, Integral Calculus, Ordinary Differential Equations, Calculus of Several Variables, and Logic.

His research interests include geometric control theory, optimal and nonlinear control theory, control of quantum mechanical systems, complexity in motion planning, and trajectory planning.

Dr. Romero is a Mexican Mathematical Society member, the President of the Organizing Committee of the Multidisciplinary Congress of Applied Sciences of Latin America, and received the Academic Award for Engineering Teaching in 1994. He is a member of the National System of Researchers, SNI, and PRODEP.



Information provided by the academic staff

Research interests

• Theoretical and experimental research
• Instrumentation and control
• Optimization of energy and other resources
• Sub-Riemannian Geometry and Optimal Control in non-linear evolution systems

Academic Work

On the following pages you can consult the research work:






Some examples of publications

Select the bibliographic reference to consult each publication:


Open Access References UN SDGs
OACastillo-Fernández, D., Romero-Meléndez, C. (2025).TURNPIKE PROPERTY IN A PARTICULAR CLASS OF STOCHASTIC LOTKA-VOLTERRA SYSTEMS. Cybernetics and Physics,14(1) 25-31
OARomero-Meléndez, C., Castillo-Fernández, D., González-Santos, L. (2024).On Stability Properties in a Stochastic Controlled Lotka-Volterra Model. ACM International Conference Proceeding Series,121-125
OARomero-Meléndez, C., Castillo-Fernández, D. (2022).STRONG CONVERGENCE ON A STOCHASTIC CONTROLLED LOTKA-VOLTERRA 3-SPECIES MODEL WITH LÉVY JUMPS. Cybernetics and Physics,11(4) 227-233
OARomero-Meléndez, C., Castillo-Fernández, D., González-Santos, L. (2021).On the Boundedness of the Numerical Solutions' Mean Value in a Stochastic Lotka-Volterra Model and the Turnpike Property. Complexity,2021| 15 |
OARomero-Meléndez, C., Castillo-Fernández, D. (2021).A stochastic controlled schrÖdinger equation: Convergence and robust stability for numerical solutions. Cybernetics and Physics,10(3) 178-184
Romero-Meléndez, C., González-Santos, L., Castillo-Fernández, D. (2020).A numerical approach for the stochastic control of a two-level quantum system. Cybernetics and Physics,9(2) 107-116
OAAguirre-Hernández, B., López-Rentería, J.-A., Hossian, A.A. and 1 more (...) (2020).Geometric and Polynomial Approaches of Complex Systems and Control in Mathematics and Applied Sciences. Complexity,2020

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Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
25O
Ecuaciones Diferenciales OrdinariasLicenciatura
2
25O
Programación no LinealPosgrado
3
25O
Calculo IntegralLicenciatura
4
25P
Calculo IntegralLicenciatura
5
25P
Ecuaciones Diferenciales OrdinariasLicenciatura
6
25I
Temas Selectos de Ingeniería Física IIILicenciatura
7
24O
Calculo IntegralLicenciatura
8
24O
Ecuaciones Diferenciales OrdinariasLicenciatura
9
24P
Ecuaciones Diferenciales OrdinariasLicenciatura
10
24P
Ecuaciones Diferenciales OrdinariasLicenciatura
11
24I
Ecuaciones Diferenciales OrdinariasLicenciatura
12
23O
Ecuaciones Diferenciales OrdinariasLicenciatura
13
23P
Calculo de Varias VariablesLicenciatura
14
23P
Ecuaciones Diferenciales OrdinariasLicenciatura
15
23I
Ecuaciones Diferenciales OrdinariasLicenciatura
16
22O
Calculo IntegralLicenciatura
17
22O
Ecuaciones Diferenciales OrdinariasLicenciatura
18
22P
Calculo IntegralLicenciatura
19
22P
Ecuaciones Diferenciales OrdinariasLicenciatura
20
22I
Ecuaciones Diferenciales OrdinariasLicenciatura
21
22I
Ecuaciones Diferenciales OrdinariasLicenciatura
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