Live briefing
Everything about Distributed parameter system
System with an infinite-dimensional state-space
In control theory, a distributed-parameter system is a system whose state space is infinite-dimensional. Such systems are therefore also known as infinite-dimensional systems. Typical examples are systems described by partial differential equations or by delay differential equations. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Distributed parameter systemA 5-minute orientation
- Skim a recent paper: Backstepping-based distributed abnormality localization for linear parabolic distributed parameter systemsInfluential work since 2022
- Pick up a classic book: Control and estimation of distributed parameter systemsThe most-reprinted book on the subject
- Read the landmark paper: Distributed parameter system indentification A survey†Cited 136 times
- Go sideways: Infinitesimal generator (stochastic processes)A closely related topic
- Go sideways: Nonlinear Schrödinger equationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Distributed parameter system indentification A survey†
Optimal sensor location problem for a linear distributed parameter system
System identification and model-based control for distributed parameter systems
Distributed parameter system identification via Walsh functions
Direct parameter identification of distributed parameter systems
System identification of distributed-parameter marine riser models
Distributed parameter system identification using finite element differential neural networks
Spatiotemporal Modeling for Distributed Parameter System under Sparse Sensing
🆕 Influential since 2022
Backstepping-based distributed abnormality localization for linear parabolic distributed parameter systems
Optimizing multi-parameter distributed fiber sensors: a hybrid Rayleigh-Brillouin-Raman System approach
Physical Informed Sparse Learning for Robust Modeling of Distributed Parameter System and Its Industrial Applications
Distributed simultaneous state and parameter estimation of nonlinear systems
Flatness-Based Output Feedback Tracking Control of a Hyperbolic Distributed-Parameter System
📚 Books worth reading
Control and estimation of distributed parameter systemsF. Kappel, K. Kunisch · 1994- 📕Control of nonlinear distributed parameter systemsGoong Chen, I. Lasiecka · 2001
- 📕Finite-dimensional approximation for optimal fixed-order compensation of distributed parameter systemsDennis S. Bernstein · 1988
Characteristics of distributed-parameter systemsA. G. Butkovskiĭ, A.G. Butkovskiy · 1993
Control and optimal design of distributed parameter systemsJ. Lagnese, Russell, David L. · 1995
Control of distributed parameter systemsBanks, Stephen P., A. J. Pritchard · 1978
Distributed parameter systemsS. Ōmatu, Sigeru Omatu · 1989
Optimal control of nonsmooth distributed parameter systemsDan Tiba · 1990
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Infinitesimal generator (stochastic processes) In mathematics — specifically, in stochastic analysis — the infinitesimal generator of a Feller process (i.e. a continuous-time Markov process satisfying…
- Nonlinear Schrödinger equation In theoretical physics, the (one-dimensional) nonlinear Schrödinger equation (NLSE) is a nonlinear variation of the Schrödinger equation. It is a classical…
- Oscillatory integral In mathematical analysis an oscillatory integral is a type of distribution. Oscillatory integrals make rigorous many arguments that, on a naive level,…
- Floquet theory Given a system in which the forces are periodic—such as a pendulum under a periodic driving force, or an oscillating circuit driven by alternating current—the…
- Prolate spheroidal wave function In mathematics, prolate spheroidal wave functions (PSWFs) are eigenfunctions of the Laplacian in prolate spheroidal coordinates, adapted to boundary conditions…
- First-order partial differential equation In mathematics, a first-order partial differential equation is a partial differential equation that involves the first derivatives of an unknown function…
- Seiberg–Witten theory In theoretical physics, Seiberg–Witten theory is an N = 2 {\displaystyle {\mathcal {N}}=2} supersymmetric gauge theory with an exact low-energy effective…
- Carleman linearization In mathematics, Carleman linearization (also called Carleman embedding) is a method that formally represents a finite-dimensional nonlinear system of ordinary…