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Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction–diffusion systems

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Time‐varying feedback for stabilization in prescribed finite time
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Semigroups of Linear Operators and Applications to Partial Differential Equations
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Discontinuous Systems: Lyapunov Analysis and Robust Synthesis under Uncertainty Conditions
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Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations
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On orthogonal polynomials
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Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach
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The solution of initial-boundary value problems for parabolic equations by the method of integral operators
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Orthogonal Polynomials
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On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
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Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness
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Finite-time multi-agent deployment: A nonlinear PDE motion planning approach
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Finite-time and fixed-time stabilization: Implicit Lyapunov function approach
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Boundary control of coupled reaction–diffusion processes with constant parameters
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Minimum time control of heterodirectional linear coupled hyperbolic PDEs
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On the ISS properties of a class of parabolic DPS’ with discontinuous control using sampled-in-space sensing and actuation
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Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
inferredcites →https://doi.org/10.1016/j.automatica.2017.06.008openalex-snapshot
Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time
inferredcites →https://doi.org/10.1016/j.automatica.2017.09.007openalex-snapshot
Finite-time and fixed-time observer design: Implicit Lyapunov function approach
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On Boundary Finite-Time Feedback Control for Heat Equation
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A new bound for the Laguerre polynomials
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Schwartz′ distributions in nonlinear setting: Applications to differential equations, filtering and optimal control
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Boundary control of an unstable heat equation via measurement of domain-averaged temperature
inferredcites →https://doi.org/10.1109/cdc.2018.8619641openalex-snapshot
On continuous boundary time-varying feedbacks for fixed-time stabilization of coupled reaction-diffusion systems
inferredcites →https://doi.org/10.1109/tac.2004.838495openalex-snapshot
Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
inferredcites →https://doi.org/10.1109/tac.2016.2590506openalex-snapshot
Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients
inferredcites →https://doi.org/10.1109/tac.2018.2797838openalex-snapshot
On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space
inferredcites →https://doi.org/10.1109/tac.2018.2802422openalex-snapshot
Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
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Finite Time Controllers
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Tracking Control of the Uncertain Heat and Wave Equation via Power-Fractional and Sliding-Mode Techniques
inferredcites →https://doi.org/10.1137/130910762openalex-snapshot
Finite-Time Stabilization of $2\times2$ Hyperbolic Systems on Tree-Shaped Networks
inferredcites →https://doi.org/10.1137/15m1034325openalex-snapshot
Output Feedback Stabilization of Coupled Reaction-Diffusion Processes with Constant Parameters
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Finite-Time Stability of Continuous Autonomous Systems
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Control for fast and stable Laminar-to-High-Reynolds-Numbers transfer in a 2D Navier-Stokes channel flow
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Handbook of linear partial differential equations for engineers and scientists

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Cross-diffusion systems in moving-boundary domains
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