Stability and Robust Regulation of Passive Linear Systems
From MaRDI portal
Publication:4972758
DOI10.1137/17M1136407;zbMath1429.93078arXiv1706.03224MaRDI QIDQ4972758
Publication date: 27 November 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.03224
linear systemfeedbackstrongly continuous semigroupcontroller designstrong stabilitycoupled systemspolynomial stabilityrobust output regulationimpedance passive
Sensitivity (robustness) (93B35) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) Asymptotic stability in control theory (93D20) Wave equation (35L05)
Related Items
Output Regulation of Infinite-Dimensional Nonlinear Systems: A Forwarding Approach for Contraction Semigroups ⋮ On Polynomial Stability of Coupled Partial Differential Equations in 1D ⋮ Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE ⋮ Optimal decay for a wave-heat system with Coleman-Gurtin thermal law ⋮ Adaptive regulation for minimum phase systems with unknown relative degree and uncertain exosystems
Cites Work
- Unnamed Item
- Rate of decay of some abstract Petrowsky-like dissipative semi-groups
- Resolvent conditions for the control of unitary groups and their approximations
- Well-posed systems -- the LTI case and beyond
- Eventual norm continuity for neutral semigroups on Banach spaces
- Transfer functions of infinite-dimensional systems: positive realness and stabilization
- Stability of abstract thermo-elastic semigroups
- Optimal polynomial decay of functions and operator semigroups
- Non-uniform stability for bounded semi-groups on Banach spaces
- Transfer functions of distributed parameter systems: a tutorial
- The internal model principle for linear multivariable regulators
- Repetitive control of MIMO systems using \(H^\infty\) design
- Regular linear systems with feedback
- Internal model based tracking and disturbance rejection for stable well-posed systems
- Optimal rates of decay for operator semigroups on Hilbert spaces
- Regular linear systems governed by a boundary controlled heat equation
- Passive and conservative continuous-time impedance and scattering systems. I: Well-posed systems.
- Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
- Output regulation problem for a class of SISO infinite dimensional systems via a finite dimensional dynamic control
- Characterization of polynomial decay rate for the solution of linear evolution equation
- Multivariable boundary PI control and regulation of a fluid flow system
- Linear stabilization of the linear oscillator in Hilbert space
- Spectral properties of infinite-dimensional closed-loop systems
- Indirect stabilization of locally coupled wave-type systems
- Controller Design for Robust Output Regulation of Regular Linear Systems
- Exponential Stabilization of Boundary Controlled Port-Hamiltonian Systems With Dynamic Feedback
- Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
- Vector-valued Laplace Transforms and Cauchy Problems
- Internal Model Theory for Distributed Parameter Systems
- Robust Regulation of Distributed Parameter Systems with Infinite-Dimensional Exosystems
- Dynamic stabilization of regular linear systems
- Low-Gain Control of Uncertain Regular Linear Systems
- Conditions for the equivalence of internal and external stability for distributed parameter systems
- Exponential stabilization of well-posed systems by colocated feedback
- Polynomial and analytic stabilization of a wave equation coupled with an Euler-Bernoulli beam
- Asymptotic stability of linear differential equations in Banach spaces
- Tauberian Theorems and Stability of One-Parameter Semigroups
- Relationships between internal and external stability for infinite-dimensional systems with applications to a servo problem
- Repetitive control system: a new type servo system for periodic exogenous signals
- The robust control of a servomechanism problem for linear time-invariant multivariable systems
- A finite-dimensional robust controller for systems in the CD-algebra
- Stability Properties of Coupled Impedance Passive LTI Systems
- Exponential Stability of a Class of Boundary Control Systems
- The Internal Model Principle for Systems with Unbounded Control and Observation
- Output regulation of periodic signals for DPS: an infinite-dimensional signal Generator
- Robust Controllers for Regular Linear Systems with Infinite-Dimensional Exosystems
- On the Internal Model Structure for Infinite‐Dimensional Systems: Two Common Controller Types and Repetitive Control
- On Stability Equivalence between Dynamic Output Feedback and Static Output Feedback for a Class of Second Order Infinite-Dimensional Systems
- Dissipative systems analysis and control. Theory and applications
- Heat-wave interaction in 2-3 dimensions: optimal rational decay rate
