On Monday, May 12, at 15:00 hrs, Sandra Díaz Seoane (Department of Systems Engineering & Control, Universidade de Vigo, Spain) will present research results on the following topic:

"Symmetries for the computation of observability and controllability of dynamical systems"

Abstract: "In this talk, we will explore the role of symmetries in the analysis and computation of observability and controllability in dynamical systems. Observability and controllability are fundamental properties that determine the ability to infer the internal state of a system from external outputs and to drive the system to a desired state using external inputs, respectively. Symmetries in this context refer to transformations that leave the system's structure or behaviour unchanged. These can include rotational, translational, or reflective symmetries, among others.

We will discuss how the existence of symmetries can be related to the lack of observability. Specifically, symmetrical structures within a system can obscure certain internal states, making them unobservable from external outputs. By understanding and exploiting these symmetries, we can develop methods to calculate observability more effectively.
While the relationship between symmetries and observability has been extensively studied, there are few references to their connection with controllability. On this topic, we will briefly review the most relevant results and provide a short introduction to the lines of research we hope to explore in the near future."

In case of interest in attending the talk, please contact the secretary of the group Control and System Theory.
 

On Monday, May 12, at 15:00 hrs, Sandra Díaz Seoane (Department of Systems Engineering & Control, Universidade de Vigo, Spain) will present research results on the following topic:

"Symmetries for the computation of observability and controllability of dynamical systems"

Abstract: "In this talk, we will explore the role of symmetries in the analysis and computation of observability and controllability in dynamical systems. Observability and controllability are fundamental properties that determine the ability to infer the internal state of a system from external outputs and to drive the system to a desired state using external inputs, respectively. Symmetries in this context refer to transformations that leave the system's structure or behaviour unchanged. These can include rotational, translational, or reflective symmetries, among others.

We will discuss how the existence of symmetries can be related to the lack of observability. Specifically, symmetrical structures within a system can obscure certain internal states, making them unobservable from external outputs. By understanding and exploiting these symmetries, we can develop methods to calculate observability more effectively.
While the relationship between symmetries and observability has been extensively studied, there are few references to their connection with controllability. On this topic, we will briefly review the most relevant results and provide a short introduction to the lines of research we hope to explore in the near future."

In case of interest in attending the talk, please contact the secretary of the group Control and System Theory.