Optimal Control of Port-Hamiltonian Descriptor Systems with Minimal Energy Supply
DOI10.1137/21M1427723zbMath1497.93080arXiv2106.06571OpenAlexW3173005041WikidataQ114074018 ScholiaQ114074018MaRDI QIDQ5096049
Karl Worthmann, Timm Faulwasser, Friedrich Philipp, M. Schaller, Bernhard Maschke
Publication date: 12 August 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.06571
Linear systems in control theory (93C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Existence theories for optimal control problems involving ordinary differential equations (49J15) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Networked control (93B70)
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- On the relation between strict dissipativity and turnpike properties
- Linear port-Hamiltonian systems on infinite-dimensional spaces.
- The quasi-Weierstrass form for regular matrix pencils
- The turnpike property in finite-dimensional nonlinear optimal control
- On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems
- Linear port-Hamiltonian descriptor systems
- Integral and measure-turnpike properties for infinite-dimensional optimal control systems
- Generalized port-Hamiltonian DAE systems
- CasADi: a software framework for nonlinear optimization and optimal control
- L\(_2\) gain and passivity techniques in nonlinear control.
- 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
- Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations
- Symmetry and motion primitives in model predictive control
- On turnpike and dissipativity properties of continuous-time optimal control problems
- Inertia theorems for matrices: the semidefinite case
- Functional analysis and time optimal control
- Dissipative dynamical systems. I: General theory
- An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems
- Modeling and Control of Complex Physical Systems
- Solvability, controllability, and observability of continuous descriptor systems
- Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces
- Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems
- Controllability of Linear Differential-Algebraic Systems—A Survey
- Port-Hamiltonian Differential-Algebraic Systems
- Control by Interconnection and Standard Passivity-Based Control of Port-Hamiltonian Systems
- Port-Hamiltonian Systems Theory: An Introductory Overview
- Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems
- Optimal control of differential‐algebraic equations from an ordinary differential equation perspective
- Long Time versus Steady State Optimal Control
- Dissipative systems analysis and control. Theory and applications
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