# RAMI KATZ

ramikatz AT mail DOT tau DOT ac DOT il

School of Electrical Engineering, Tel-Aviv University.

I have a Ph.D from the school of Electrical Engineering in Tel-Aviv University. I was privileged to be mentored by Prof. Emilia Fridman (https://www.eng.tau.ac.il/~emilia/).

Before that, I completed my B.Sc and M.Sc in Applied Mathematics at the School of Mathematical Sciences in Tel-Aviv University.

My work lies in Control Theory of PDEs, but I am also interested in general areas of mathematical analysis, such as: dynamical systems, functional analysis, operator theory, measure theory and numerical analysis.

My Ph.D. supervisor, Prof. Emilia Fridman, recently received the prestigious Kadar family award. Check out this video to see what Time-Delay Systems are all about!!!

## PUBLICATIONS

### JOURNAL PAPERS - ACCEPTED:

1. R. Katz and Y. Shkolnisky – Sampling and Approximation of Bandlimited Volumetric Data. Applied and Computational Harmonic Analysis, 2018.

2. A. Ditkowski and R. Katz - Spectral Approximations With Non-Standard Weight Functions and Their Implementations to Generalized Chaos Expansions. Journal of Scientific Computing, 2019.

3. R. Katz and E. Fridman - Constructive Method for Finite-Dimensional Observer-Based Control of 1-D Parabolic PDEs. Automatica, 2020.

4. R. Katz, M. Margaliot and E. Fridman - Entrainment to Subharmonic Trajectories in Oscillatory Discrete-Time Systems. Automatica, 2020. Selected as Editor's Choice for June 2020 (link)

5. R. Katz, E. Fridman and A. Selivanov - Boundary Delayed Observer-Controller Design for Reaction-Diffusion Systems. IEEE TAC, 2021

6. R. Katz, E. Fridman - Delayed Finite-Dimensional Observer-Based Control of 1-D Parabolic PDEs. Automatica, 2021.

7. R. Katz, E. Fridman - Sub-Predictors and Classical Predictors for Finite-Dimensional Observer-Based Control of Parabolic PDEs. IEEE Control System Letters, 2022.

8. R. Katz, E. Fridman - Finite-Dimensional Control of The Heat Equation: Dirichlet Actuation and Point Measurement. The European Journal of Control, 2021.

9. R. Katz, E. Fridman - Sampled-data finite-dimensional boundary control of 1D parabolic PDEs under point measurement via a novel ISS Halanay's inequality. Automatica, 2021.

10. R. Katz and E. Fridman - Finite-dimensional boundary control of the linear Kuramoto-Sivashinsky equation under point measurement with guaranteed L2-gain. IEEE Transactions on Automatic Control, 2022

11. R. Katz and E. Fridman – Regional stabilization of the nonlinear 1D Kuramoto-Sivashinsky equation via modal decomposition. IEEE Control System Letters, 2022.

12. R. Katz and E. Fridman - Global finite-dimensional observer-based stabilization of a semilinear heat equation with large input delay. Systems & Control Letters, 2022.

13. R. Katz and E. Fridman - Delayed finite-dimensional observer-based control of 1D parabolic PDEs via reduced-order LMIs. Automatica, 2023.

14. P. Wang, R. Katz, and E. Fridman - Constructive finite-dimensional boundary control of stochastic 1D parabolic PDEs. Automatica. Accepted.

15. R. Katz and E. Fridman – Global stabilization of a 1D semilinear heat equation via modal decomposition and direct Lyapunov approach. Automatica. Accepted.

16. R. Katz, E. Attias, T.Tuller and M. Margaliot - Translation in the cell under fierce competition for shared resources: A mathematical model. Journal of the Royal Society Interface. Accepted.

### JOURNAL PAPERS - SUBMITTED \ IN PREPARATION:

1. R. Katz, N. Diab and D. Batenkov - On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents. Submitted.

2. R. Katz, N. Diab and D. Batenkov- Decimated Prony's method for stable super-resolution. Submitted.

3. R. Katz, F. Mazenc and E. Fridman – Constructive method for averaging-based stability via a delay free transformation. Submitted.

4. R. Katz, T. Kriecherbauer, L. Grune and M. Margaliot - On the gain of entrainment in a class of contractive bilinear control systems. In preparation.

### CONFERENCE PAPERS - ACCEPTED:

1. R. Katz, M. Margaliot and E. Fridman - On Totally Positive Discrete-Time Systems. MED 2019: Mediterranean Conference on Control and Automation. Akko, Israel - July 2019.

2. R. Katz, E. Fridman and A. Selivanov - Network-Based Boundary Observer-Controller Design for 1D Heat Equation. 58th Conference on Decision and Control. Nice, France - December 2019.

3. R. Katz and E. Fridman - Finite-Dimensional Observer-Based Controller for Linear 1-D Heat Equation: An LMI Approach. 21st IFAC World Congress. Berlin, Germany - July 2020.

4. R. Katz and E. Fridman - Finite-Dimensional Observer-Based Control of Kuramoto-Sivashinsky Equation Under Point Measurement and Actuation. 59th Conference on Decision and Control (CDC 2020). Jeju Island, Republic of Korea - December 2020.

5. R. Katz and E. Fridman - Delayed Finite-Dimensional Observer-Based Control of 1-D Linear Heat Equation. 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2021). Cambridge - August 2021.

6. R. Katz and E. Fridman – Sampled Data Finite-Dimensional Boundary Control of the 1-D Heat Equation Under Point Measurement. The European Control Conference (ECC 2021). Rotterdam, Netherlands – June 2021. Best student paper award finalist (one of five) - https://www.eng.tau.ac.il/~emilia/Best%20Student%20Paper%20ECC2021.pdf

7. R. Katz, I. Basre and E. Fridman - Delayed finite-dimensional observer-based control of 1D heat equation under Neumann actuation. The European Control Conference (ECC 2021). Rotterdam, Netherlands – June 2021.

8. R. Katz and E. Fridman – Sub-predictors and classical predictors for ﬁnite-dimensional observer-based control of parabolic PDEs. The 60th conference on decision and control (CDC 2021). Austin, Texas, USA – December 2021

9. P. Wang, R. Katz and E. Fridman – Finite-dimensional observer-based control of 1D stochastic parabolic PDEs. The American Control Conference (ACC 2022). Atlanta, Georgia, USA – June 2022

10. R. Katz and E. Fridman – Global boundary stabilization of a semilinear heat equation via finite-dimensional nonlinear observers. The American Control Conference (ACC 2022). Atlanta, Georgia, USA – June 2022

11. P. Wang, R. Katz, and E. Fridman - Constructive method for boundary control of stochastic 1D parabolic PDEs. The 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022). Bayreuth, Germany - September 2022

12. R. Katz and E. Fridman - Global boundary stabilization of a semilinear heat equation via finite-dimensional nonlinear observers. The 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022). Bayreuth, Germany - September 2022

13. R. Katz and E. Fridman - Network-based deployment of multi-agents without communication of leaders with multiple followers: a PDE approach. The 61st conference on decision and control (CDC 2022). Cancun, Mexico.

14. R. Katz, F. Mazenc and E. Fridman - Stability by averaging via time-varying Lyapunov functions. The IFAC World Congress 2023. Yokohama, Japan.

15. C. Kitsos, R. Katz and E. Fridman - Internal stabilization of three interconnected semilinear reaction-diffusion PDEs with one actuated state. The IFAC World Congress 2023. Yokohama, Japan.

### CONFERENCE PAPERS - SUBMITTED:

1. R. Katz, F. Mazenc and E. Fridman - ISS of rapidly time-varying systems via a novel presentation and delay-free transformation. Submitted to the 2023 62nd IEEE Conference on Decision and Control (CDC). Singapore.

## INVITED TALKS

### • Distributed paramter systems online international seminar. April, 2021

• ISS and applications online seminar. December, 2021. Video, Slides

• Applied mathematics seminar. Tel-Aviv University. December, 2021

• Drakhlin's seminar on functional differential equations. Ariel University. April, 2022

• EE seminar. Ben-Gurion University of The Negev. June, 2022

## GET IN TOUCH

I can be reached via my email address: ramikatz AT mail DOT tau DOT ac DOT il .

My location in Academia: Tel-Aviv University, Maabadot building, room 108.