Publications

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Journal Article (7)

  1. Journal Article
    Goyal, P. K.; Redmann, M.: Time-Limited H2-Optimal Model Order Reduction. Applied Mathematics and Computation 355, pp. 184 - 197 (2019)
  2. Journal Article
    Pontes Duff, I.; Goyal, P. K.; Benner, P.: Balanced Truncation for a Special Class of Bilinear Descriptor Systems. IEEE Control Systems Letters 3 (3), pp. 535 - 540 (2019)
  3. Journal Article
    Benner, P.; Goyal, P. K.; Gugercin, S.: H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 39 (2), pp. 983 - 1032 (2018)
  4. Journal Article
    Ahmad, M. I.; Benner, P.; Goyal, P. K.: Krylov Subspace-Based Model Reduction for a Class of Bilinear Descriptor Systems. Journal of Computational and Applied Mathematics 315, pp. 303 - 318 (2017)
  5. Journal Article
    Ahmad, M. I.; Benner, P.; Goyal, P. K.; Heiland, J.: Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor Systems. Zeitschrift für Angewandte Mathematik und Mechanik 97 (10), pp. 1252 - 1267 (2017)
  6. Journal Article
    Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor Model. Computers & Chemical Engineering 106, pp. 777 - 784 (2017)
  7. Journal Article
    Benner, P.; Goyal, P. K.: Multipoint Interpolation of Volterra Series and H2-Model Reduction for a Family of Bilinear Descriptor Systems. Systems & Control Letters 97, pp. 1 - 11 (2016)

Book Chapter (2)

  1. Book Chapter
    Benner, P.; Goyal, P. K.: An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations. In: Reduced-Order Modeling for Simulation and Optimization, pp. 1 - 19 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham, Switzerland (2018)
  2. Book Chapter
    Benner, P.; Goyal, P. K.; Redmann, M.: Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction. In: Model Reduction of Parametrized Systems, pp. 285 - 300 (Eds. Benner, P.; Ohlberger, M.; Patera, A.; Rozza, G.; Urban, K.). Springer International Publishing, Cham, Switzerland (2017)

Conference Paper (3)

  1. Conference Paper
    Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Nonlinear Model Order Reduction for Catalytic Tubular Reactors. In: 26th European Symposium on Computer Aided Process Engineering, pp. 2373 - 2378. 26th European Symposium on Computer Aided Process Engineering - ESCAPE 26, Portorož, Slovenia, June 12, 2016 - June 15, 2016. (2016)
  2. Conference Paper
    Goyal, P. K.; Benner, P.: An Iterative Model Order Reduction Scheme for a Special Class of Bilinear Descriptor Systems Appearing in Constraint Circuit Simulation. In: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering: Volume II, pp. 4196 - 4212 (Eds. Papadrakakis, M.; Papadopoulos, V.; Stefanou, G.; Plevris, V.). VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece, June 05, 2016 - June 10, 2016. National Technical University of Athens (NTUA), Athens, Greece (2016)
  3. Conference Paper
    Goyal, P. K.; Ahmad, M. I.; Benner, P.: Model Reduction of Quadratic-Bilinear Descriptor Systems via Carleman Bilinearization. In: Proceedings of 2015 European Control Conference (ECC 2015), pp. 1177 - 1182. 2015 European Control Conference (ECC 2015), Linz, Austria, July 15, 2015 - July 17, 2015. (2015)

Meeting Abstract (1)

  1. Meeting Abstract
    Benner, P.; Goyal, P. K.: Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order Reduction. In Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, pp. 81 - 83. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minnesota, USA, July 12, 2016 - July 15, 2016. (2016)

Talk (14)

  1. Talk
    Benner, P.; Goyal, P. K.: Interpolation-based optimal model reduction for a class of descriptor systems with application to Navier-Stokes equations. 3rd Workshop on Model Reduction of Complex Dynamical Systems (MODRED 2017), Odense, Denmark (2017)
  2. Talk
    Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Towards Fast Optimal Control of CO2Methanation Reactors via POD-DEIM. MODRED 2017, Odense, Denmark (2017)
  3. Talk
    Goyal, P. K.: An iterative model reduction scheme for QB systems. 11. Elgersburg Workshop, Elgersburg, Germany (2017)
  4. Talk
    Benner, P.; Goyal, P. K.: H2-Optimal Model Reduction for Bilinear Descriptor Systems. 7th European Congress of Mathematics (7ECM), Berlin, Germany (2016)
  5. Talk
    Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Reduced Order Modeling and Optimization of CO2 Methanation Reactors. ALOP Workshop: Reduced Order Models in Optimization, Trier, Germany (2016)
  6. Talk
    Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Reduced Order Modeling and Optimization of CO2 Methanation Reactors. Workshop on Optimal and Feedback Control of Differential Equations, Konstanz, Germany (2016)
  7. Talk
    Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Nonlinear Model Order Reduction for Catalytic Tubular Reactors. ESCAPE26, Portorož, Slovenia (2016)
 
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