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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

Successful appointment to the 2026 National System of Researchers.


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
OAAguirre-Hernández, B., Loredo-Villalobos, C.A., Castillo-Fernández, D. and 3 more (...) (2026).Polynomial approaches in control theory. Boletin de la Sociedad Matematica Mexicana,32(3)
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,202115
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
26P
Transformada de Laplace y Análisis de FourierLicenciatura
2
26P
Ecuaciones Diferenciales OrdinariasLicenciatura
3
26P
Temas Selectos Inter y Multidisciplinares ILicenciatura
4
26I
Calculo IntegralLicenciatura
5
26I
Calculo IntegralLicenciatura
6
25O
Programación no LinealPosgrado
7
25O
Calculo IntegralLicenciatura
8
25O
Ecuaciones Diferenciales OrdinariasLicenciatura
9
25P
Calculo IntegralLicenciatura
10
25P
Ecuaciones Diferenciales OrdinariasLicenciatura
11
25I
Temas Selectos de Ingeniería Física IIILicenciatura
12
24O
Ecuaciones Diferenciales OrdinariasLicenciatura
13
24O
Calculo IntegralLicenciatura
14
24P
Ecuaciones Diferenciales OrdinariasLicenciatura
15
24P
Ecuaciones Diferenciales OrdinariasLicenciatura
16
24I
Ecuaciones Diferenciales OrdinariasLicenciatura
17
23O
Ecuaciones Diferenciales OrdinariasLicenciatura
18
23P
Calculo de Varias VariablesLicenciatura
19
23P
Ecuaciones Diferenciales OrdinariasLicenciatura
20
23I
Ecuaciones Diferenciales OrdinariasLicenciatura
21
22O
Calculo IntegralLicenciatura
22
22O
Ecuaciones Diferenciales OrdinariasLicenciatura
23
22P
Calculo IntegralLicenciatura
24
22P
Ecuaciones Diferenciales OrdinariasLicenciatura
25
22I
Ecuaciones Diferenciales OrdinariasLicenciatura
26
22I
Ecuaciones Diferenciales OrdinariasLicenciatura
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Universidad Autónoma Metropolitana, 2026.