output
20102025
most citedInput-to-state stability of infinite-dimensional control systems

192 citations

13 papers

cs.CY2025★ 1 cited

Generative AI in Training and Coaching: Redefining the Design Process of Learning Materials

Alexander Komar, Marc-André Heidelmann, Kristina Schaaff

Generative artificial intelligence (GenAI) is transforming education, redefining the role of trainers and coaches in learning environments. In our study, we explore how AI integrat…

cs.AI2023★ 29 cited

Exploring ChatGPT's Empathic Abilities

Kristina Schaaff, Caroline Reinig, Tim Schlippe

Empathy is often understood as the ability to share and understand another individual's state of mind or emotion. With the increasing use of chatbots in various domains, e.g., chil…

cs.CL2023★ 61 cited

Classification of Human- and AI-Generated Texts: Investigating Features for ChatGPT

Lorenz Mindner, Tim Schlippe, Kristina Schaaff

Recently, generative AIs like ChatGPT have become available to the wide public. These tools can for instance be used by students to generate essays or whole theses. But how does a…

cs.CY2022★ 7 cited

(Meta) Competences for Digital Practice: Educational Scenarios for the Workplace of the Future Exemplified by Building Information Modeling Work Processes

Sebastian Damek, Heinrich Söbke, Franziska Weise +1

Workplaces of the future require advanced competence profiles from employees, not least due to new options for teleworking and new complex digital tools. The acquisition of advance…

cs.HC2017★ 1 cited

Classification of Smart Environment Scenarios in combination with a Human-Wearable-Environment-Communication using wireless connectivity

Kristof Friess, H. C. Volker Herwig

The development of computer technology has been rapid. Not so long ago, the first computer was developed which was large and bulky. Now, the latest generation of smartphones has a…

math.DS2016

Almost ISS property for feedback connected systems

Petro Feketa, Humberto Stein Shiromoto, Sergey Dashkovskiy

Small-gain conditions used in analysis of feedback interconnections are contraction conditions which imply certain stability properties. Such conditions are applied to a finite or…

eess.SY2016★ 1 cited

Example Demonstrating the Application of Small-gain and Density Propagation Conditions for Interconnections

Humberto Stein Shiromoto, Petro Feketa, Sergey Dashkovskiy

This work provides an example that motivates and illustrates theoretical results related to a combination of small-gain and density propagation conditions. Namely, in case the smal…

eess.SY2016

Input-to-state Stability of Impulsive Systems with Different Jump Maps

Sergey Dashkovskiy, Petro Feketa

The paper introduces sufficient conditions for input-to-state stability (ISS) of a class of impulsive systems with jump maps that depend on time. Such systems can naturally represe…

math.DS2015★ 2 cited

Prolongation and stability of Zeno solutions to hybrid dynamical systems

Sergey Dashkovskiy, Petro Feketa

The paper proposes a framework for the construction of solutions to a hybrid dynamical system that exhibit Zeno behavior. A new approach that enables solution to be prolonged after…

math.DS2012

Reduction of the small gain condition for large-scale interconnections

S. Dashkovskiy, M. Kosmykov

The small gain condition is sufficient for input-to-state stability (ISS) of interconnected systems. However, verification of the small gain condition requires large amount of comp…

math.OC2012★ 192 cited

Input-to-state stability of infinite-dimensional control systems

Sergey Dashkovskiy, Andrii Mironchenko

We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of…

math.DS2010★ 1 cited

Input-to-state stability of interconnected hybrid systems

Sergey Dashkovskiy, Michael Kosmykov

We consider the interconnections of arbitrary topology of a finite number of ISS hybrid systems and study whether the ISS property is maintained for the overall system. We show tha…

math.DS2010★ 1 cited

Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods

Sergey Dashkovskiy, Michael Kosmykov, Andrii Mironchenko +1

In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay system possesses an exponential…