Results 41 to 50 of about 403 (50)
Stabilization of Dispersion Generalized Benjamin Ono [PDF]
arXiv, 2017 In this article, we examine $L^2$ well-posedness and stabilization property of the dispersion-generalized Benjamin-Ono equation with periodic boundary conditions. The main ingredient of our proof is a development of dissipation-normalized Bourgain space, which gains smoothing properties simultaneously from dissipation and dispersion within the equation.
arxiv
Stability and stabilization of linear positive systems on time scales [PDF]
arXiv, 2019 It is shown that a positive linear system on a time scale with a bounded graininess is uniformly exponentially stable if and only if the characteristic polynomial of the matrix defining the system has all its coefficients positive. Then this fact is used to find necessary and sufficient conditions of positive stabilizability of a positive control ...
arxiv
Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay [PDF]
arXiv, 2019 We consider the KdV-Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay estimates under appropriate conditions on the damping coefficients. Our arguments rely on a Lyapunov functional approach combined with a step by step procedure and semigroup theory.
arxiv
Feedback stabilization for a bilinear control system under weak observability inequalities [PDF]
arXiv, 2019 In this paper, we discuss the feedback stabilization of bilinear systems under weak observation properties. In this case, the uniform stability is not guaranteed. Thus we provide an explicit weak decay rate for all regular initial data. Applications to Schr\"odinger and wave equations are provided.
arxiv
Necessary and sufficient conditions for exponential stabilization of systems affine in controls [PDF]
arXiv, 2017 This paper provides necessary and sufficient conditions for exponential stabilization of distributed systems affine in control, evolving in a Banach state space, by means of constant controls. An explicit estimate of the convergence speed is obtained under the given constant control. Various applications are provided.
arxiv
Quantitative unique continuation for the linear coupled heat equations. [PDF]
J Inequal Appl, 2017 Zheng G, Li K, Li J.
europepmc +1 more source
Boundedness, persistence and stability for classes of forced difference equations arising in population ecology. [PDF]
J Math Biol, 2019 Franco D +3 more
europepmc +1 more source
Robust set-point regulation for ecological models with multiple management goals. [PDF]
J Math Biol, 2016 Guiver C +3 more
europepmc +1 more source