Spline approximation for systems of linear neutral delay-differential equations

RH Fabiano, C Payne - Applied Mathematics and Computation, 2018 - Elsevier
We derive a new finite dimensional semidiscrete approximation scheme for systems of linear
neutral delay-differential equations and prove convergence results. Our construction …

Controlled variable analysis of counter flow heat exchangers based on thermodynamic derivation

Y **, N Gao, T Zhu - Applied Thermal Engineering, 2018 - Elsevier
To optimize the controlled variable of counter flow heat exchanger, TQ diagram inducing
entropy angle and thermal capacity angle is used to analyze heat exchange process. The …

Control of hyperbolic pde systems with actuator dynamics

JA Burns, EM Cliff - 53rd IEEE conference on decision and …, 2014 - ieeexplore.ieee.org
In this paper we consider a boundary control problem for a class of hyperbolic PDEs that
arise in the design and control of thermal fluid systems. We include the effects of actuator …

Control of a thermal fluid heat exchanger with actuator dynamics

JA Burns, L Zietsman - 2016 IEEE 55th Conference on Decision …, 2016 - ieeexplore.ieee.org
In this paper we consider the problems of modeling and control of counter-flow heat
exchangers when one includes actuator dynamics as part of the model. Most models of heat …

On the approximation of operator-valued Riccati equations in Hilbert spaces

J Cheung - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
In this work, we present an abstract theory for the approximation of operator-valued Riccati
equations posed on Hilbert spaces. It is demonstrated here that, under the assumption of …

Identification of dynamical systems with structured uncertainty

JA Burns, EM Cliff, TL Herdman - Inverse Problems in Science and …, 2018 - Taylor & Francis
In this paper, we consider the problem of parameter identification for models defined by
dynamical systems with structured uncertainty. This type of problem often occurs in science …

Stabilization and Synchronization Control of Multi Coupled Hyperbolic-Parabolic Partial Differential Systems Based on Backstep** Method

L Li, X Chen, J Liang, H Pan - IEEE Transactions on Circuits …, 2024 - ieeexplore.ieee.org
Currently, scholars typically investigate the dynamics of two coupled partial differential
systems. However, in practical engineering applications, there are often coupled partial …

Control of Reaction-Diffusion Processes Under Communication Delays

L Ballotta, J Arbelaiz, V Gupta… - 2024 European …, 2024 - ieeexplore.ieee.org
In this paper we investigate the design of optimal spatially distributed controllers for a linear
and spatially invariant reaction-diffusion process over the real line. The controller receives …

Control of pde systems with delays

JA Burns, TL Herdman, L Zietsman - IFAC Proceedings Volumes, 2013 - Elsevier
We consider a special class of control systems governed by infinite dimensional neutral
functional differential equations of the form where the linear operator A 0: D (A 0)⊆ Z→ Z …

Infinite dimensional delay differential equations in control and sensitivity analysis.

JA Burns, TL Herdman… - … in Engineering, Science & …, 2013 - search.ebscohost.com
In this paper we consider a specific class of infinite dimensional functional differential
equations that are described by functional partial differential equations (FPDEs). These …