Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction–diffusion systems
In this paper, the problem of fixed-time stabilization of constant-parameter reaction–diffusion
partial differential equations by means of continuous boundary time-varying feedbacks is …
partial differential equations by means of continuous boundary time-varying feedbacks is …
Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
This paper is devoted to a simple and new proof on the optimal finite control time for general
linear coupled hyperbolic system by using boundary feedback on one side. The feedback …
linear coupled hyperbolic system by using boundary feedback on one side. The feedback …
Sensor delay-compensated prescribed-time observer for LTI systems
We present an observer for linear time-invariant (LTI) systems with measurement delay. Our
design ensures that the observer error converges to zero within a prescribed terminal time …
design ensures that the observer error converges to zero within a prescribed terminal time …
Predictor-feedback prescribed-time stabilization of LTI systems with input delay
N Espitia, W Perruquetti - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
This article first deals with the problem of prescribed-time stability of linear systems without
delay. The analysis and design involve the Bell polynomials, the generalized Laguerre …
delay. The analysis and design involve the Bell polynomials, the generalized Laguerre …
Delay-robust control design for two heterodirectional linear coupled hyperbolic PDEs
We detail in this paper the importance of a change of strategy for the delay robust control of
systems composed of two linear first-order hyperbolic equations. One must go back to the …
systems composed of two linear first-order hyperbolic equations. One must go back to the …
Boundary stabilization of 1D hyperbolic systems
A Hayat - Annual Reviews in Control, 2021 - Elsevier
Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …
present in many fields of science and, consequently, in many human applications. For these …
Control of shallow waves of two unmixed fluids by backstepping
Among the existing global challenges, water system management is becoming more and
more important as the consumption patterns are continually growing. The implication of …
more important as the consumption patterns are continually growing. The implication of …
Delay-robust stabilization of a hyperbolic PDE–ODE system
We detail in this article the development of a delay-robust stabilizing feedback control law for
a linear ordinary differential equation coupled with two linear first order hyperbolic equations …
a linear ordinary differential equation coupled with two linear first order hyperbolic equations …
A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
A Hayat, P Shang - Automatica, 2019 - Elsevier
The exponential stability problem of the nonlinear Saint-Venant equations is addressed in
this paper. We consider the general case where an arbitrary friction and space-varying slope …
this paper. We consider the general case where an arbitrary friction and space-varying slope …