A general transfer function representation for a class of hyperbolic distributed parameter systems
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Publication:2872862
DOI10.2478/AMCS-2013-0022zbMath1282.93182OpenAlexW1971101115MaRDI QIDQ2872862
Publication date: 16 January 2014
Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/amcs-2013-0022
transfer functionpartial differential equationheat exchangerhyperbolic systemdistributed parameter system
Control/observation systems governed by partial differential equations (93C20) Frequency-response methods in control theory (93C80) First-order hyperbolic systems (35L40)
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The exponential decay rate of generic tree of 1-d wave equations with boundary feedback controls ⋮ Modeling heat distribution with the use of a non-integer order, state space model ⋮ Approximate state-space and transfer function models for \(2 \times 2\) linear hyperbolic systems with collocated boundary inputs ⋮ A non integer order, state space model for one dimensional heat transfer process ⋮ A memory-efficient noninteger-order discrete-time state-space model of a heat transfer process ⋮ Fractional order state space models of the one-dimensional heat transfer process ⋮ Abstract state-space models for a class of linear hyperbolic systems of balance laws
Cites Work
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- Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
- Hankel norm approximation for infinite-dimensional systems
- When is the discretization of a spatially distributed system good enough for control?
- Dissipative operators in a Banach space
- Robust feedforward boundary control of hyperbolic conservation laws
- Transfer functions of distributed parameter systems: a tutorial
- Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
- Improved boundary conditions for viscous, reacting, compressible flows.
- Boundary feedback stabilization and Riesz basis property of a 1D first-order hyperbolic linear system with \(L^{\infty }\)-coefficients
- Boundary control of hyperbolic conservation laws using a frequency domain approach
- Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments
- Transfer functions for infinite-dimensional systems
- A formula for frequency responses of distributed systems with one spatial variable
- Sensor network scheduling for identification of spatially distributed processes
- Time-optimal control of infinite order hyperbolic systems with time delays
- Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain
- Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems
- Dissipative Hyperbolic Systems
- Exponential stabilization of well-posed systems by colocated feedback
- THE EFFECT OF THE DOWNSTREAM BOUNDARY CONDITIONS IN THE LINEARIZED ST VENANT EQUATIONS
- Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
- Equivalence of input-output stability and exponential stability for infinite-dimensional systems
- Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
- Exponential Stability and Transfer Functions of Processes Governed by Symmetric Hyperbolic Systems
- Well-Posedness of Boundary Control Systems
- Transfer functions of regular linear systems Part II: The system operator and the Lax–Phillips semigroup
- Transfer Function Models for Multidimensional Systems with Bounded spatial Domains
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- Distributed scheduling of sensor networks for identification of spatio-temporal processes
- Approximation of Hyperbolic Models for Chemosensitive Movement
- Partial Differential Equations
- Boundary control systems in factor form: Transfer functions and input-output maps
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