Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems [PDF]
Abstract and Applied Analysis, 2012 This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates.
Rajagounder Ravi Kumar +2 more
doaj +5 more sources
Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach [PDF]
Abstract and Applied Analysis, 2018 In the theory control systems, there are many various qualitative control problems that can be considered. In our previous work, we have analyzed the approximate controllability and observability of the nonautonomous Riesz-spectral systems including the ...
Sutrima Sutrima +2 more
doaj +5 more sources
Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System [PDF]
Journal of Applied Mathematics, 2012 We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a ...
Amar Debbouche, Dumitru Baleanu
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On exact null controllability of Black-Scholes equation [PDF]
Kybernetika, 2008 Summary: In this paper we discuss the exact null controllability of linear as well as nonlinear Black-Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate
Kumarasamy Sakthivel +3 more
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Exact Null Controllability of String Equations with Neumann Boundaries
Journal of MathematicsThis article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the
Lizhi Cui, Jing Lu
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Null controllability of a nonlinear heat equation
Abstract and Applied Analysis, 2002 We study the internal exact null controllability of a nonlinear heat equation with homogeneous Dirichlet boundary condition. The method used combines the Kakutani fixed-point theorem and the Carleman estimates for the backward adjoint linearized system ...
G. Aniculăesei, S. Aniţa
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Null-controllability of linear hyperbolic systems in one dimensional space [PDF]
, 2021 This paper is devoted to the controllability of a general linear hyperbolic system in one space dimension using boundary controls on one side. Under precise and generic assumptions on the boundary conditions on the other side, we previously established ...
Coron, Jean-Michel, Nguyên, Hoài-Minh
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Conditions of Exact Null Controllability and the Problem of Complete Stabilizability for Time-Delay Systems [PDF]
, 2021 For a class of linear time-delay control systems satisfying the property of completability of the generalized eigenvectors we prove that the problems of complete stabilizability and exact null controllability are equivalent.
Barkhayev, Pavel +2 more
openaire +2 more sources
Linear Operator Inequality and Null Controllability with Vanishing Energy for Unbounded Control Systems [PDF]
, 2013 We consider a linear boundary or point control system on a Hilbert space $H$ which is null controllable at some time $T_0 >0$. To every initial state $ y_0 \in H$ we associate the minimal ``energy'' needed to transfer $ y_0 $ to $ 0 $ in a time $ T \ge ...
Zabczyk, J. +7 more
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Boundary Controllability and Observability of a Viscoelastic String [PDF]
, 2012 In this paper we consider an integrodifferential system, which governs the vibration of a viscoelastic one-dimensional object. We assume that we can act on the system at the boundary and we prove that it is possible to control both the position and the ...
Avdonin S. +8 more
core +1 more source