M. Sc.

# Tobias Holicki

Research Assistant

Dep. of Mathematics/IMNG

Mathematical Systems Theory

## Contact

+49 711 685-60027

+49 711 685-60028

Email

Pfaffenwaldring 5a

70569
Stuttgart

Deutschland

Room: PWR 5a, R. 2.007

## Office Hours

On appointment

## Subject

**Control of hybrid and switched systems**

Combining continuous- and discrete time analysis and design techniques for systems that evolve continuously but also undergo instantaneous changes.

**Distributed control**

Scalable analysis and design approaches for large networks of systems.

**Robust control**

Analysis and synthesis techniques for linear systems affected by uncertainties.

**Linear matrix inequalities and integral quadratic constraints**

Exploring the applicability of linear matrix inequalities and dynamic integral quadratic constraints in control oriented problems.

### 2019

**T. Holicki and C. W. Scherer**, A Homotopy Approach for Robust Output-Feedback Synthesis, in*Proc. 27th. Med. Conf. Control Autom.*, 2019, pp. 87–93.**T. Holicki and C. W. Scherer**, Stability Analysis and Output-Feedback Synthesis of Hybrid Systems Affected by Piecewise Constant Parameters via Dynamic Resetting Scalings,*Nonlinear Anal. Hybri.*, vol. 34, pp. 179–208, 2019.**T. Holicki and C. W. Scherer**, Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems, in*arXiv:1910.03486 math.OC*, 2019.

### 2018

**T. Holicki and C. W. Scherer**, Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting $D$-Scalings, in*57th IEEE Conf. Decision and Control*, 2018, pp. 6440–6445.**T. Holicki and C. W. Scherer**, A Swapping Lemma for Switched Systems,*IFAC-PapersOnLine*, vol. 51, no. 25, pp. 346–352, 2018.**C. W. Scherer and T. Holicki**, An IQC theorem for relations: Towards stability analysis of data-integrated systems,*IFAC-PapersOnLine*, vol. 51, no. 25, pp. 390–395, 2018.

### 2016

**T. Holicki and C. W. Scherer**, Controller Synthesis for Distributed Systems over Undirected Graphs, in*55th IEEE Conf. Decision and Control*, 2016, pp. 5238–5244.

**Current semester**

- Teaching assistant: Optimization
- SimTech B.Sc.-project supervision: Iterative learning control

**Previous semesters**

*Summer term 2019*

- Teaching assistant: Robust Control
- SimTech B.Sc.-seminar supervision: Feedback stabilization of positive systems

*Winter term 2018/2019*

*Teaching assistant: Optimization*

*Summer term 2018*

- Teaching assistant: Robust control
- SimTech B.Sc.-seminar supervision: Matrix sign function

*Summer term 2017*

- Teaching assistant: Linear algebra 2
- SimTech B. Sc.-seminar supervision: Stochastic matrices and markov chains
- B. Sc. thesis supervision: Modeling and control of a double inverted pendulum

*Winter term 2016/2017*

- Teaching assistant: Linear algebra 1

Tobias Holicki was born in Ludwigsburg, Germany, in 1990. He received the B.Sc. and M.Sc. degree in mathematics from the University of Stuttgart, Germany in 2013 and 2016, respectively. He is currently affiliated with the chair of Mathematical Systems Theory (Department of Mathematics, University of Stuttgart, Germany) and working towards his Ph.D. degree.