Nový přístup k identifikaci diskrétních dynamických soustav
NTGsim: a graphical user interface and a 3D simulator for nonlinear trajectory generation methodology
Nonlinear Trajectory Generation (NTG), developed by Mark Milam, is a software algorithm used to generate trajectories of constrained nonlinear systems in real-time. The goal of this paper is to present an approach to make NTG more userfriendly. To accomplish this, we have programmed a Graphical User Interface (GUI) in Java, using object oriented design, which wraps the NTG software and allows the user to quickly and efficiently alter the parameters of NTG. This new program, called NTGsim, eliminates...
Null and approximate controllability for weakly blowing up semilinear heat equations
Null controllability of a nonlinear diffusion system in reactor dynamics
In this paper, we prove the exact null controllability of certain diffusion system by rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in a bounded interval of with a distributed control acting on a subinterval. We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a suitable observability estimate for adjoint system with appropriate assumptions on the coefficients. Then...
Null controllability of Grushin-type operators in dimension two
We study the null controllability of the parabolic equation associated with the Grushin-type operator , in the rectangle , under an additive control supported in an open subset of . We prove that the equation is null controllable in any positive time for and that there is no time for which it is null controllable for . In the transition regime and when is a strip ), a positive minimal time is required for null controllability. Our approach is based on the fact that, thanks to the particular...
Null controllability of nonlinear convective heat equations
Null controllability of nonlinear convective heat equations
The internal and boundary exact null controllability of nonlinear convective heat equations with homogeneous Dirichlet boundary conditions are studied. The methods we use combine Kakutani fixed point theorem, Carleman estimates for the backward adjoint linearized system, interpolation inequalities and some estimates in the theory of parabolic boundary value problems in Lk.
Null controllability of nonlinear infinite neutral system
Null controllability of some impulsive evolution equation in a Hilbert space.
Null controllability of the heat equation in unbounded domains by a finite measure control region
Motivated by two recent works of Micu and Zuazua and Cabanillas, De Menezes and Zuazua, we study the null controllability of the heat equation in unbounded domains, typically or . Considering an unbounded and disconnected control region of the form , we prove two null controllability results: under some technical assumption on the control parts , we prove that every initial datum in some weighted space can be controlled to zero by usual control functions, and every initial datum in can...
Null controllability of the heat equation in unbounded domains by a finite measure control region
Motivated by two recent works of Micu and Zuazua and Cabanillas, De Menezes and Zuazua, we study the null controllability of the heat equation in unbounded domains, typically or . Considering an unbounded and disconnected control region of the form , we prove two null controllability results: under some technical assumption on the control parts , we prove that every initial datum in some weighted L2 space can be controlled to zero by usual control functions, and every initial datum in L2(Ω)...
Null controllability of the semilinear heat equation
Null controllability of the semilinear heat equation
This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control is exerted either on a small subdomain or on a portion of the boundary. We prove that the system is null controllable when the nonlinear term f(s) grows slower than s . log|s| as |s| → ∞.
Null-controllability of some systems of parabolic type by one control force
We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.
Null-controllability of some systems of parabolic type by one control force
We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.
Numerical algorithm for nonsmooth stabilization of triangular form systems
Numerical solution of the pressing devices shape optimization problem in the glass industry
In this contribution, we present the problem of shape optimization of the plunger cooling which comes from the forming process in the glass industry. We look for a shape of the inner surface of the insulation barrier located in the plunger cavity so as to achieve a constant predetermined temperature on the outward surface of the plunger. A rotationally symmetric system, composed of the mould, the glass piece, the plunger, the insulation barrier and the plunger cavity, is considered. The state problem...
Numerical stability analysis in respiratory control system models.
Numerically robust synthesis of discrete-time H∞ estimators based on dual J-lossless factorizations
Numerically stable algorithm for pole assignment of linear single-input systems