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- Antonis Papachristodoulou

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D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Electronics and Electrical Engineering
D-index
40
Citations
7,580
201
World Ranking
2770
National Ranking
156

2019 - IEEE Fellow For contributions to analysis and design of networked control systems

- Statistics
- Mathematical analysis
- Control theory

His scientific interests lie mostly in Mathematical optimization, Explained sum of squares, Control theory, Nonlinear system and Polynomial. His Mathematical optimization research is multidisciplinary, relying on both Differential algebraic equation, Lyapunov function and Decomposition. His biological study spans a wide range of topics, including Stability, Semidefinite programming, Hybrid system, Applied mathematics and Sum-of-squares optimization.

Antonis Papachristodoulou has included themes like Telecommunications network, Network topology, Multi-agent system and Decentralised system in his Control theory study. In the subject of general Nonlinear system, his work in Lyapunov redesign is often linked to Invariance principle, thereby combining diverse domains of study. The concepts of his Polynomial study are interwoven with issues in Optimization problem, Combinatorial optimization and Convex optimization.

- Introducing SOSTOOLS: a general purpose sum of squares programming solver (422 citations)
- On the construction of Lyapunov functions using the sum of squares decomposition (401 citations)
- Nonlinear control synthesis by sum of squares optimization: a Lyapunov-based approach (348 citations)

Mathematical optimization, Control theory, Nonlinear system, Applied mathematics and Explained sum of squares are his primary areas of study. His Mathematical optimization research is multidisciplinary, incorporating perspectives in Stability, Polynomial and Convex optimization. His Control theory study combines topics from a wide range of disciplines, such as Network topology and Multi-agent system.

Antonis Papachristodoulou interconnects Control system and Differential equation in the investigation of issues within Nonlinear system. His Applied mathematics research focuses on subjects like Lyapunov function, which are linked to Stability and Block matrix. His Explained sum of squares research incorporates elements of Decomposition, Hybrid system, Sum-of-squares optimization and Parametric statistics.

- Mathematical optimization (28.46%)
- Control theory (23.22%)
- Nonlinear system (19.85%)

- Chordal graph (7.87%)
- Matrix (7.49%)
- Optimization problem (9.74%)

His primary scientific interests are in Chordal graph, Matrix, Optimization problem, Control theory and Lyapunov function. His work deals with themes such as Linear programming and Explained sum of squares, which intersect with Matrix. His research brings together the fields of Host and Control theory.

His work on Sum of squares programming as part of general Lyapunov function study is frequently linked to Diagonal, bridging the gap between disciplines. The Positive-definite matrix study combines topics in areas such as Matrix decomposition and Semidefinite programming. His Mathematical optimization study combines topics in areas such as Random field, Probabilistic logic and Linear dynamical system.

- Chordal decomposition in operator-splitting methods for sparse semidefinite programs (38 citations)
- Synthetic negative feedback circuits using engineered small RNAs (31 citations)
- Scalable Design of Structured Controllers Using Chordal Decomposition (28 citations)

- Statistics
- Mathematical analysis
- Artificial intelligence

His primary areas of investigation include Linear system, Chordal graph, Control theory, Applied mathematics and Lyapunov function. The concepts of his Applied mathematics study are interwoven with issues in Optimization problem, Explained sum of squares and Affine transformation. His Explained sum of squares research is multidisciplinary, incorporating perspectives in Set, Cone, Diagonally dominant matrix and Nonlinear system.

His Lyapunov function study incorporates themes from Class and Simple. The various areas that Antonis Papachristodoulou examines in his Theoretical computer science study include Matrix and Mathematical optimization. His work on Linear-quadratic-Gaussian control is typically connected to Electric power system as part of general Mathematical optimization study, connecting several disciplines of science.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Introducing SOSTOOLS: a general purpose sum of squares programming solver

S. Prajna;A. Papachristodoulou;P.A. Parrilo.

conference on decision and control **(2002)**

608 Citations

On the construction of Lyapunov functions using the sum of squares decomposition

A. Papachristodoulou;S. Prajna.

conference on decision and control **(2002)**

508 Citations

Nonlinear control synthesis by sum of squares optimization: a Lyapunov-based approach

S. Prajna;A. Papachristodoulou;Fen Wu.

asian control conference **(2004)**

480 Citations

New developments in sum of squares optimization and SOSTOOLS

S. Prajna;A. Papachristodoulou;P. Seiler;P.A. Parrilo.

american control conference **(2004)**

397 Citations

Delay robustness in consensus problems

Ulrich Münz;Antonis Papachristodoulou;Frank Allgöwer.

Automatica **(2010)**

281 Citations

A tutorial on sum of squares techniques for systems analysis

A. Papachristodoulou;S. Prajna.

american control conference **(2005)**

268 Citations

Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization

Antonis Papachristodoulou;Ali Jadbabaie;Ulrich Münz.

IEEE Transactions on Automatic Control **(2010)**

221 Citations

Consensus in Multi-Agent Systems With Coupling Delays and Switching Topology

U. Munz;A. Papachristodoulou;F. Allgower.

IEEE Transactions on Automatic Control **(2011)**

217 Citations

Analysis of Non-polynomial Systems using the Sum of Squares Decomposition

Antonis Papachristodoulou;Stephen Prajna.

**(2005)**

198 Citations

Analysis of switched and hybrid systems - beyond piecewise quadratic methods

S. Prajna;A. Papachristodoulou.

american control conference **(2003)**

195 Citations

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