[PDF] Top 20 Minimal controllability time for the heat equation under unilateral state or control constraints

... of the heat equation satisfies ( 2 ) while satisfying the state constraint ( 3 ...positive minimal time, or waiting time. In the absence of ... Voir le document complet

... of state constraints. In the case when K = R n and ϕ is continuous, it is known that the value function ϑ is the unique continuous viscosity solution of a Hamilton-Jacobi ... Voir le document complet

... In the case where there is no minimal time of control and under appropriate conditions on the f k that should not decrease too fast (what we will call “the usual case” ... Voir le document complet

... that for every y 0 ∈ L 2 (0, π), there exists some control u driving y 0 to 0 at time T with ||u|| L 2 (0,T ) 6 C||y 0 || L 2 (0,π) ...In the case where there is no minimal time ... Voir le document complet

... Finite-time control and estimation problems for plants de- scribed by ordinary differential equations are well-known in the literature (see, for example, Haimo (1986), Coron and Praly ... Voir le document complet

... use the alternative formulation of the optimality conditions, introduced in Jacobson, Lele and Speyer [25], rigorously obtained in Maurer [31] and generalized in Bonnans and Hermant [14] to the case ... Voir le document complet

... Once the control property has been achieved with nonnegative controls, the clas- sical comparison or maximum principle for parabolic equations allows proving that the same ... Voir le document complet

... paper, the state feedback H ∞ -control problem for orbital stabilization of n-DOF, fully actuated mechani- cal systems subject to unilateral constraints is ...conditions ... Voir le document complet

... consider the controllability problem for finite-dimensional linear autonomous control systems, under state constraints but without imposing any control ...that, ... Voir le document complet

... D. State Feedback H ∞ Synthesis Using Trajectory Adapta- tion To respect Condition C1 of Theorem ...2.1 for the error system (1)-(4), the controlled output (21) is specified with ρ p = 3500 ... Voir le document complet

... Unite´ de recherche INRIA Lorraine, Technopoˆle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LE`S NANCY Unite´ de recherche INRIA Rennes, Iri[r] ... Voir le document complet

... ± or u = Q up to the symmetries of the ...of the flow near the solitary in a situation where blow up is ...in the dispersive setting for the Non Linear Schrödinger ... Voir le document complet

... in the present paper are based on proving that some properties of the considered system are uniform with respect to the ...control. For example, in the finite-dimensional case we ... Voir le document complet

... that the problem is equivalent to the standard “Newsboy” ...which the actual procurement and processing times may be stochastic and demand is deterministic and a lot-for-lot policy is ...used. ... Voir le document complet

... determines the non-homogeneous data set of each problem: source term, boundary conditions, initial and/or final condition, ...etc. The subspace H is the subset of the ambient Hilbert ... Voir le document complet

... C for all t ≥ 0 o . We shall always assume that the following natural condition holds ∃ ν > 0 , ∀x ∈ ∂Ω , ∃ a ∈ A , g(x, a) · n(x) < −ν < 0 (2) where n denotes the unit outward ...see ... Voir le document complet

... illustrate the computational savings of planning with equivalence class ...results. The experiments were done in the ICAPS 2004 blocks-world domain, varying the number of blocks and the ... Voir le document complet

... Optimal time control problem · null controllability · bang-bang property · heat equation, · scaling ...optimal time control problem, one searches the minimum ... Voir le document complet

... consider the kinematics of the robot. On a humanoid robot, many constraints arise from the dynamics of the multibody ...system. The formulation by task can be extended to compute ... Voir le document complet

... [1], for which the controllability problem is posed in the half line with null initial ...condition. The set of attainable states is completely described. We recall that for ... Voir le document complet