Progress in Differential-Algebraic Equations II

Part 1 Analysis and Decoupling.- A Projector Based Decoupling of Daes Obtained from the Derivative Array.- Basic Characteristics of Differential-Algebraic Operators.- Part 2 Numerical Methods and Model Order Reduction.- Inter/Extrapolation-Based Multirate Schemes: A Dynamic-Iteration Perspective.- Least-Squares Collocation for Higher-Index DAEs: Global Approach and Attempts Towards a Time-Stepping Version.- Exponential Integrators for Semi-Linear Parabolic Problems with Linear Constraints.- Improvement of Rosenbrock-Wanner Method RODASP.- Data-Driven Model Reduction for a Class of Semi-Explicit DAEs
Using the Loewner Framework.- Part 3 Closed-Loop and Optimal Control.- Vector Relative Degree and Funnel Control for Differential-Algebraic Systems.- Observers for Differential-Algebraic Systems with Lipschitz or Monotone Nonlinearities.- Error Analysis for the Implicit Euler Discretization of Linear-Quadratic Control Problems with Higher Index DAEs and Bang-Bang Solutions.- Part 4 Applications.- Port-Hamiltonian Modeling of District Heating Networks.- Coupled Systems of Linear Differential-Algebraic and Kinetic Equations with Application to the Mathematical Modelling of Muscle Tissue.- Generalized Circuit Elements.- Singularities of the Robotic Arm DAE.