Control of port-Hamiltonian differential-algebraic systems and applications
From MaRDI portal
Publication:6047502
DOI10.1017/s0962492922000083arXiv2201.06590OpenAlexW4376137587MaRDI QIDQ6047502
Benjamin Unger, Volker Mehrmann
Publication date: 12 September 2023
Published in: Acta Numerica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.06590
Numerical methods for differential-algebraic equations (65L80) Numerical analysis (65-XX) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
Related Items
Differential-algebraic systems with dissipative Hamiltonian structure, Optimization-based model order reduction of port-Hamiltonian descriptor systems, Linear port-Hamiltonian DAE systems revisited, Structure-preserving discretization of the Cahn-Hilliard equations recast as a port-Hamiltonian system, Modelling and structure-preserving discretization of the Schrödinger as a port-Hamiltonian system, and simulation of a controlled quantum box
Cites Work
- Stability of a class of delayed port-Hamiltonian systems with application to microgrids with distributed rotational and electronic generation
- A class of damping models preserving eigenspaces for linear conservative port-Hamiltonian systems
- Linear port-Hamiltonian systems on infinite-dimensional spaces.
- Differential-algebraic equations. A projector based analysis
- Effort- and flow-constraint reduction methods for structure preserving model reduction of port-Hamiltonian systems
- Interpolatory weighted-\(\mathcal{H}_2\) model reduction
- A port-Hamiltonian formulation of the Navier-Stokes equations for reactive flows
- Passivity and structure preserving order reduction of linear port-Hamiltonian systems using Krylov subspaces
- \(QR\) methods and error analysis for computing Lyapunov and Sacker--Sell spectral intervals for linear differential-algebraic equations
- The Kalman-Yakubovich-Popov inequality for differential-algebraic systems
- Stability by Liapunov's direct method. With applications
- A survey of bond graphs: Theory, applications and programs
- Stability properties of differential-algebraic equations and Spin-stabilized discretizations
- Numerical solution of hybrid systems of differential-algebraic equations
- Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems
- Dirac structures in Lagrangian mechanics. II: Variational structures
- A structured staircase algorithm for skew-symmetric/symmetric pencils
- Partial realization of descriptor systems
- The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: existence of nonpositive solutions
- Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index
- Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
- Dirac structures and their composition on Hilbert spaces
- A framework for the solution of the generalized realization problem
- Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations
- Numerical computation of an analytic singular value decomposition of a matrix valued function
- Smooth factorizations of matrix valued functions and their derivatives
- Singular control systems
- The autonomous linear quadratic control problem. Theory and numerical solution
- Regular solutions of nonlinear differential-algebraic equations and their numerical determination
- Numerical methods in control
- Krylov-subspace methods for reduced-order modeling in circuit simulation
- Hamiltonian formulation of distributed-parameter systems with boundary energy flow
- Linear port-Hamiltonian descriptor systems
- Reduced order LQG control design for port Hamiltonian systems
- Regular solutions of DAE hybrid systems and regularization techniques
- Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems
- Operator differential-algebraic equations arising in fluid dynamics
- Data-driven structured realization
- On computing the distance to stability for matrices using linear dissipative Hamiltonian systems
- Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
- Generalized port-Hamiltonian DAE systems
- Robust port-Hamiltonian representations of passive systems
- Damped wave systems on networks: exponential stability and uniform approximations
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- L\(_2\) gain and passivity techniques in nonlinear control.
- The numerical solution of differential-algebraic systems by Runge-Kutta methods
- Stability and inertia theorems for generalized Lyapunov equations
- Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
- The index of general nonlinear DAEs
- Classical and generalized solutions of time-dependent linear differential-algebraic equations
- Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
- Computational flexible multibody dynamics. A differential-algebraic approach
- Feedback design for regularizing descriptor systems
- Approximation of stability radii for large-scale dissipative Hamiltonian systems
- Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis
- Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems
- Distance problems for dissipative Hamiltonian systems and related matrix polynomials
- Control of port-Hamiltonian systems with minimal energy supply
- Error bounds for port-Hamiltonian model and controller reduction based on system balancing
- Passivity preserving model reduction via spectral factorization
- Computation of the nearest structured matrix triplet with common null space
- Identification of port-Hamiltonian systems from frequency response data
- Port-Hamiltonian formulation of two-phase flow models
- Self-adjoint differential-algebraic equations
- Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods
- Spectral analysis for linear differential-algebraic equations
- A partitioned finite element method for the structure-preserving discretization of damped infinite-dimensional port-Hamiltonian systems with boundary control
- Kolmogorov \(n\)-widths for linear dynamical systems
- Structure preserving approximation of dissipative evolution problems
- Structure-preserving model-reduction of dissipative Hamiltonian systems
- Error bounds in the gap metric for dissipative balanced approximations
- Passivity preserving model reduction via interpolation of spectral zeros
- A new result on passivity preserving model reduction
- Time-dependent linear DAEs with discontinuous inputs
- Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems
- On a geometrical interpretation of differential-algebraic equations
- On the structure preserving high-order approximation of quasistatic poroelasticity
- Hamiltonian operator inference: physics-preserving learning of reduced-order models for canonical Hamiltonian systems
- Local and global canonical forms for differential-algebraic equations with symmetries
- Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems
- Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations
- Model Reduction of Descriptor Systems by Interpolatory Projection Methods
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Formal adjoints of linear DAE operators and their role in optimal control
- Cerebral water transport using multiple-network poroelastic theory: application to normal pressure hydrocephalus
- Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks
- On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
- Regularization of Linear Descriptor Systems with Variable Coefficients
- Dirac structures in nonequilibrium thermodynamics
- Mathematical Systems Theory I
- A transformation approach to stochastic model reduction
- Port-based modelling of mass transport phenomena
- Modeling and Control of Complex Physical Systems
- Dirac structures and Boundary Control Systems associated with Skew-Symmetric Differential Operators
- Electrical Transmission System Cascades and Vulnerability
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reservoir Geomechanics
- Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Differential-Algebraic Systems as Differential Equations on Manifolds
- A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
- The Consistent Initialization of Differential-Algebraic Systems
- Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
- A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
- On Smooth Decompositions of Matrices
- Descriptor Systems Without Controllability at Infinity
- Computing the nearest stable matrix pairs
- Model Reduction for Linear Systems with Low-Rank Switching
- Structure Preserving Truncation of Nonlinear Port Hamiltonian Systems
- Structure-Preserving $H^2$ Optimal Model Reduction Based on the Riemannian Trust-Region Method
- Structure Preserving Model Reduction of Parametric Hamiltonian Systems
- Model Reduction and Approximation
- On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks
- A Survey of Model Reduction by Balanced Truncation and Some New Results
- On Linear-Quadratic Optimal Control Problems for Time-Varying Descriptor Systems
- Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems
- A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients
- Bohl exponent for time-varying linear differential-algebraic equations
- Controllability of Linear Differential-Algebraic Systems—A Survey
- Robust Stability of Differential-Algebraic Equations
- Solution Concepts for Linear DAEs: A Survey
- Port-Hamiltonian Differential-Algebraic Systems
- Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
- Stability preserving approximations of a semilinear hyperbolic gas transport model
- Projection-based model reduction with dynamically transformed modes
- A Linear Relation Approach to Port-Hamiltonian Differential-Algebraic Equations
- Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction
- Port-Hamiltonian Systems Theory: An Introductory Overview
- Structure-Preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems
- Port-Hamiltonian formulations of poroelastic network models
- Optimal Control of Port-Hamiltonian Descriptor Systems with Minimal Energy Supply
- An Energy-Based, Always Index $\leq$ 1 and Structurally Amenable Electrical Circuit Model
- On Non-Hermitian Positive (Semi)Definite Linear Algebraic Systems Arising from Dissipative Hamiltonian DAEs
- Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems
- Twenty years of distributed port-Hamiltonian systems: a literature review
- Energy-preserving Runge-Kutta methods
- Optimal Robustness of Port-Hamiltonian Systems
- A Robust Iterative Scheme for Symmetric Indefinite Systems
- On Some Norms for Descriptor Systems
- Structure Preserving Moment Matching for Port-Hamiltonian Systems: Arnoldi and Lanczos
- Condensed Forms for Linear Port-Hamiltonian Descriptor Systems
- Positive Real Balancing for Nonlinear Systems
- A new class of energy-preserving numerical integration methods
- Reduced Basis Methods for Partial Differential Equations
- Chapter 2: Regularization of Linear and Nonlinear Descriptor Systems
- Chapter 4: Spectra and Leading Directions for Linear DAEs
- Systems of Conservation Equations with a Convex Extension
- Approximation of Large-Scale Dynamical Systems
- Well-Posedness of Time-Varying Linear Systems
- Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder
- From variational to bracket formulations in nonequilibrium thermodynamics of simple systems
- Analysis and numerical solution of control problems in descriptor form
- A simple structural analysis method for DAEs
- Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems
- SOBMOR: Structured Optimization-Based Model Order Reduction
- Port-Hamiltonian Dynamic Mode Decomposition
- Extended Balancing of Continuous LTI Systems: A Structure-Preserving Approach
- The hypocoercivity index for the short time behavior of linear time-invariant ODE systems
- Linear port-Hamiltonian DAE systems revisited
