Boundary Stabilization of Quasi-linear Hyperbolic Systems with Varying Time-Delay: Boundary stabilization of quasi-linear hyperbolic systems with varying time-delay

Authors: Martin Gugat

Source: SIAM Journal on Control and Optimization. 63:452-471

Subject Terms: boundary control, Control/observation systems governed by partial differential equations, Stabilization of systems by feedback, quasi-linear hyperbolic systems, varying delay, boundary stabilization, Exponential stability, Stability in context of PDEs, feedback law

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Access URL: https://zbmath.org/7986006
https://doi.org/10.1137/24m1648570

Robust Sliding Mode Control for a Class of Gantry Crane System With Time‐Varying Disturbances: Robust sliding mode control for a class of gantry crane system with time-varying disturbances

Authors: Zhang, Jiayang, Wu, Wei

Source: International Journal of Robust and Nonlinear Control. 35:3055-3070

Subject Terms: boundary control, distributed parameter system, gantry crane system, Control/observation systems governed by partial differential equations, Perturbations in control/observation systems, well-posedness, Sensitivity (robustness), Variable structure systems, sliding mode controller

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Access URL: https://zbmath.org/8034886
https://doi.org/10.1002/rnc.7825

Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge, and Reaction-Diffusion PDEs: Probabilistic Lambert problem: connections with optimal mass transport, Schrödinger bridge, and reaction-diffusion PDEs

Authors: Teter, Alexis M. H., Nodozi, Iman, Halder, Abhishek

Source: SIAM Journal on Applied Dynamical Systems. 24:16-43

Subject Terms: optimal mass transport, Schrödinger bridge, Control/observation systems governed by partial differential equations, Reaction-diffusion equations, Optimal stochastic control, Orbital mechanics, Lambert problem, Stochastic ordinary differential equations (aspects of stochastic analysis)

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Access URL: https://zbmath.org/7971540
https://doi.org/10.1137/24m1646145

The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach: The ADMM-PINNs algorithmic framework for nonsmooth PDE-constrained optimization: a deep learning approach

Authors: Yongcun Song, Xiaoming Yuan, Hangrui Yue

Source: SIAM Journal on Scientific Computing. 46:C659-C687

Subject Terms: PDEs in connection with control and optimization, FOS: Computer and information sciences, Numerical optimization and variational techniques, Inverse problems for PDEs, Computer Science - Machine Learning, Control/observation systems governed by partial differential equations, Numerical methods based on nonlinear programming, Smoothness and regularity of solutions to PDEs, Nonsmooth analysis, deep learning, PDE constrained optimization (numerical aspects), 01 natural sciences, nonsmooth optimization, Machine Learning (cs.LG), physics-informed neural networks, Optimization and Control (math.OC), FOS: Mathematics, PDE-constrained optimization, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, ADMM, Mathematics - Optimization and Control, Artificial neural networks and deep learning

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Access URL: http://arxiv.org/abs/2302.08309
https://zbmath.org/7955192
https://doi.org/10.1137/23m1566935

Uniform boundary observability for the spectral collocation of the linear elasticity system

Authors: Boumimez, Somia^{Aff1, IDs1316302500516w_cor1}, Castro, Carlos

Source: Revista Matemática Complutense. :1-12

Null Internal Controllability for a Kirchhoff–Love Plate with a Comb-Like Shaped Structure: Null internal controllability for a Kirchhoff-Love plate with a comb-like shaped structure

Authors: Umberto De Maio, Antonio Gaudiello, Catalin-George Lefter

Source: SIAM Journal on Control and Optimization. 62:2456-2474

Subject Terms: Hilbert uniqueness method, rough boundary, weak formulation, Control/observation systems governed by partial differential equations, limit control function, a priori control norm-estimate, asymptotic homogenization, Plates, Homogenization and oscillations in dynamical problems of solid mechanics, PDEs in connection with mechanics of deformable solids, Homogenization in context of PDEs, PDEs in media with periodic structure

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Access URL: https://hdl.handle.net/11588/971403
https://doi.org/10.1137/24M1647825
https://hdl.handle.net/11591/543851
https://doi.org/10.1137/24M1647825

Robin coefficient determination problem in a fractional parabolic differential equation

Authors: Maawiya Ould Sidi, Hamed Ould Sidi, Moataz Alosaimi, Sid Ahmed Ould Ahmed Mahmoud, Sid Ahmed Ould Beinane, Hadi Obaid Alshammari

Source: Mathematical Methods in the Applied Sciences. 48:52-64

Subject Terms: Control problems for functional-differential equations, gradient method, fractional equation, Control/observation systems governed by partial differential equations, Robin problem, Second-order hyperbolic equations, Application models in control theory, 0101 mathematics, variational problem, 01 natural sciences, conjugate method

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Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions

Authors: El Mustapha Ait Ben Hassi, Mariem Jakhoukh, Lahcen Maniar, Walid Zouhair

Source: IMA Journal of Mathematical Control and Information. 41:403-424

Subject Terms: Controllability, 0209 industrial biotechnology, Control/observation systems governed by partial differential equations, Heat equation, 02 engineering and technology, Carleman estimate, dynamic boundary conditions, 01 natural sciences, null controllability, Optimization and Control (math.OC), 0103 physical sciences, FOS: Mathematics, Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators, Hilbert Uniqueness Method, one-dimensional heat equation, Mathematics - Optimization and Control

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Access URL: http://arxiv.org/abs/2404.01539

Exponential stability of a coupling thermoelastic swelling porous system with Coleman–Gurtin heat flux: Exponential stability of a coupling thermoelastic swelling porous system with Coleman-Gurtin heat flux

Authors: Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Tijani A. Apalara

Source: SeMA Journal. 82:31-43

Subject Terms: infinite memory, Integro-partial differential equations, Thermal effects in solid mechanics, Control/observation systems governed by partial differential equations, Coleman-Gurtin law, energy method, exponential decay, Initial-boundary value problems for second-order hyperbolic equations, Exponential stability, swelling systems

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Access URL: https://zbmath.org/8015781
https://doi.org/10.1007/s40324-024-00357-5

Parameter error analysis for the 3D modified leray-alpha model: analytical and numerical approaches: Parameter error analysis for the 3D modified Leray-alpha model: analytical and numerical approaches

Authors: Albanez, Débora A. F., Benvenutti, Maicon J., Little, Samuel, Tian, Jing

Source: Computational and Applied Mathematics. 44

Subject Terms: Control/observation systems governed by partial differential equations, 35Q35, 7610, I.6.3, FOS: Physical sciences, Numerical Analysis (math.NA), Mathematical Physics (math-ph), PDEs in connection with fluid mechanics, Mathematics - Analysis of PDEs, numerical simulation, FOS: Mathematics, Mathematics - Numerical Analysis, Navier-Stokes equations, modified Leray-\(\alpha\) model, parameter estimates, data assimilation, Mathematical Physics, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2411.16324
https://zbmath.org/8034199
https://doi.org/10.1007/s40314-025-03166-2

Carleman estimate and null controllability for a degenerate convection–diffusion equation: Carleman estimate and null controllability for a degenerate convection-diffusion equation

Authors: Wei Guo, Mingjun Zhou, Ningning Man

Source: Computational and Applied Mathematics. 44

Subject Terms: Controllability, Control/observation systems governed by partial differential equations, degenerate parabolic equation, Carleman estimate, Degenerate parabolic equations, convection, null controllability

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Access URL: https://zbmath.org/8034186
https://doi.org/10.1007/s40314-025-03165-3

Finite‐dimensional, output‐predictor‐based, adaptive observer for heat PDEs with sensor delay: Finite-dimensional, output-predictor-based, adaptive observer for heat with sensor delay

Authors: Rafia, H., Benabdelhadi, A., Giri, F., Ouadi, H., Chaoui, F. Z.

Source: International Journal of Adaptive Control and Signal Processing. 38:1153-1171

Subject Terms: 0209 industrial biotechnology, Control/observation systems governed by partial differential equations, Heat equation, heat PDEs, observer design, 02 engineering and technology, adaptive observer, output predictor, 0203 mechanical engineering, Adaptive control/observation systems, finite-dimensional observer, Initial value problems for second-order parabolic equations, Observers, delay systems

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Local controllability of the Korteweg-de Vries equation with the right Dirichlet control

Authors: Hoai-Minh Nguyen

Source: Journal of Differential Equations. 435:113235

Subject Terms: Controllability, power series expansion, Observability, Control/observation systems governed by partial differential equations, unreachable space, controllability, 01 natural sciences, Asymptotic expansions of solutions to PDEs, Hilbert uniqueness method, Mathematics - Analysis of PDEs, KdV equations (Korteweg-de Vries equations), Optimization and Control (math.OC), FOS: Mathematics, KdV equations, 0101 mathematics, Mathematics - Optimization and Control, critical lengths, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2302.06237

State estimation for linear time‐delay distributed parameter systems with mobile sensors: State estimation for linear time-delay distributed parameter systems with mobile sensors

Authors: Qian Wang, Zhiyi Lu, Zhijie Liu, Zi‐Peng Wang

Source: International Journal of Adaptive Control and Signal Processing. 38:76-89

Subject Terms: 0209 industrial biotechnology, Observability, Control/observation systems governed by partial differential equations, exponential stability, linear time-delay distributed parameter systems, 0203 mechanical engineering, Linear systems in control theory, mobile sensor guidance, Delay control/observation systems, 02 engineering and technology, Observers, state observer

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Access URL: https://zbmath.org/7843566
https://doi.org/10.1002/acs.3690

Adaptive event-triggered extended dissipative synchronization of delayed reaction–diffusion neural networks under deception attacks: Adaptive event-triggered extended dissipative synchronization of delayed reaction-diffusion neural networks under deception attacks

Authors: Feng-Liang Zhao, Zi-Peng Wang, Junfei Qiao, Huai-Ning Wu, Tingwen Huang

Source: Neural Networks. 166:366-378

Subject Terms: adaptive event-triggered sampled-data (AETSD) control, Time Factors, Control/observation systems governed by partial differential equations, Delay control/observation systems, delayed reaction-diffusion neural networks (RDNNs), Discrete event control/observation systems, Diffusion, Stability of control systems, Reaction-diffusion equations, Adaptive control/observation systems, extended dissipative performance, spatially averaged measurements (SAMs), Networked control, deception attacks, Neural Networks, Computer

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Access URL: https://pubmed.ncbi.nlm.nih.gov/37544093
https://zbmath.org/7755863
https://doi.org/10.1016/j.neunet.2023.07.024

Regional observability of Caputo semilinear fractional systems

Authors: Zguaid Khalid, El Alaoui Fatima Zahrae, Boutoulout Ali

Source: Asian Journal of Control. 26:518-531

Subject Terms: Hilbert uniqueness method, 0209 industrial biotechnology, Observability, semilinear fractional systems, Control/observation systems governed by partial differential equations, time-fractional systems, 02 engineering and technology, 0101 mathematics, regional observability, Fractional partial differential equations, 01 natural sciences, Caputo derivative

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Iterative learning algorithms for boundary tracing of fractional diffusion equations

Authors: Jungang Wang, Qian Wang, Jun Bao, Qingyang Si

Source: Asian Journal of Control. 26:190-204

Subject Terms: boundary control, fractional diffusion equation, 0209 industrial biotechnology, Control/observation systems governed by partial differential equations, Reaction-diffusion equations, Iterative learning control, 0202 electrical engineering, electronic engineering, information engineering, iterative learning control, 02 engineering and technology, Fractional partial differential equations, convergence analysis

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Finite-Time Stabilization and Impulse Control of Heat Equation with Dynamic Boundary Conditions: Finite-time stabilization and Impulse control of heat equation with dynamic boundary conditions

Authors: Salah-Eddine Chorfi, Ghita El Guermai, Lahcen Maniar, Walid Zouhair

Source: Journal of Dynamical and Control Systems. 29:1585-1615

Subject Terms: Controllability, Impulse control, Control/observation systems governed by partial differential equations, heat equation, Heat equation, Impulsive partial differential equations, dynamic boundary conditions, 01 natural sciences, finite-time stabilization, Optimization and Control (math.OC), Finite-time stability, FOS: Mathematics, Impulsive control/observation systems, 0101 mathematics, Mathematics - Optimization and Control

File Description: application/xml

Access URL: http://arxiv.org/abs/2212.10342
https://zbmath.org/7785811
https://doi.org/10.1007/s10883-023-09646-0

Adaptive neural boundary control for state constrained flexible manipulators

Authors: Xing‐Yu Zhang, Yuan‐Xin Li

Source: International Journal of Adaptive Control and Signal Processing. 37:2184-2203

Subject Terms: boundary control, 0209 industrial biotechnology, Control/observation systems governed by partial differential equations, Adaptive control/observation systems, time-varying barrier Lyapunov function, 0202 electrical engineering, electronic engineering, information engineering, Nonlinear systems in control theory, Sensitivity (robustness), time-varying full-state constraints, flexible manipulator, 02 engineering and technology, neural networks

File Description: application/xml

Access URL: https://zbmath.org/7844288
https://doi.org/10.1002/acs.3633

Output‐feedback fault‐tolerant tracking control for coupled 2 × 2 hyperbolic PDE systems with multiplicative sensor faults: Output-feedback fault-tolerant tracking control for coupled \(2\times 2\) hyperbolic PDE systems with multiplicative sensor faults

Authors: Runsheng Guo, Chenhui Qin, Jianbin Qiu, Kangkang Sun, Tong Wang

Source: International Journal of Robust and Nonlinear Control. 33:7735-7754

Subject Terms: boundary control, 0209 industrial biotechnology, Control/observation systems governed by partial differential equations, sensor faults, tracking control, 0202 electrical engineering, electronic engineering, information engineering, Sensitivity (robustness), 02 engineering and technology, Feedback control, fault-tolerant control, First-order hyperbolic systems, hyperbolic PDE systems

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