Some characterizations of boundary time-varying feedbacks for fixed-time stabilization of reaction-diffusion systems

[1]  David Colton,et al.  The solution of initial-boundary value problems for parabolic equations by the method of integral operators☆ , 1977 .

[2]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[3]  Miroslav Krstic,et al.  Closed-form boundary State feedbacks for a class of 1-D partial integro-differential equations , 2004, IEEE Transactions on Automatic Control.

[4]  Miroslav Krstic,et al.  On control design for PDEs with space-dependent diffusivity or time-dependent reactivity , 2005, Autom..

[5]  Emmanuel Trélat,et al.  CONTROL FOR FAST AND STABLE LAMINAR-TO-HIGH-REYNOLDS-NUMBERS TRANSFER IN A 2D NAVIER-STOKES CHANNEL FLOW , 2008 .

[6]  Andreas Kugi,et al.  Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness , 2009, Autom..

[7]  Yury Orlov,et al.  Tracking Control of the Uncertain Heat and Wave Equation via Power-Fractional and Sliding-Mode Techniques , 2011, SIAM J. Control. Optim..

[8]  M. Coffey.  On finite sums of Laguerre polynomials , 2011 .

[9]  Lionel Rosier,et al.  Finite-Time Stabilization of 2˟2 Hyperbolic Systems on Tree-Shaped Networks , 2014, SIAM J. Control. Optim..

[10]  Andrey Polyakov,et al.  Finite-time and fixed-time stabilization: Implicit Lyapunov function approach , 2015, Autom..

[11]  Jean-Michel Coron,et al.  Null Controllability and Finite Time Stabilization for the Heat Equations with Variable Coefficients in Space in One Dimension via Backstepping Approach , 2017 .

[12]  Yongduan Song,et al.  Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time , 2017, Autom..

[13]  Long Hu,et al.  Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation , 2017, Autom..

[14]  Feng Qi (祁锋),et al.  On the sum of the Lah numbers and zeros of the Kummer confluent hypergeometric function , 2018, Acta Universitatis Sapientiae, Mathematica.

[15]  Denis V. Efimov,et al.  Finite-time and fixed-time observer design: Implicit Lyapunov function approach , 2018, Autom..

[16]  Andrey Polyakov,et al.  On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space , 2018, IEEE Transactions on Automatic Control.

[17]  Andrey Polyakov,et al.  On continuous boundary time-varying feedbacks for fixed-time stabilization of coupled reaction-diffusion systems , 2018, 2018 IEEE Conference on Decision and Control (CDC).

[18]  Andrey Polyakov,et al.  Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems , 2019, Autom..