Controllability of semilinear integrodifferential equations with nonlocal conditions.
Controllability of semilinear stochastic evolution equations in Hilbert space.
Controllability of semilinear stochastic integrodifferential systems
In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique.
Controllability of semilinearstochastic delay evolution equations in Hilbert spaces.
Controllability of series connections.
Controllability of systems of Stokes equations with one control force : existence of insensitizing controls
Controllability of systems on a nilpotent Lie group
Controllability of the Benjamin-Bona-Mahony equation.
Controllability of the discrete-spectrum Schrödinger equation driven by an external field
Controllability of the Semilinear Heat Equation with Impulses and Delay on the State
In this paper we prove the interior approximate controllability of the following Semilinear Heat Equation with Impulses and Delay [...] where Ω is a bounded domain in RN(N ≥ 1), φ : [−r, 0] × Ω → ℝ is a continuous function, ! is an open nonempty subset of Ω, 1ω denotes the characteristic function of the set ! and the distributed control u be- longs to L2([0, τ]; L2(Ω; )). Here r ≥ 0 is the delay and the nonlinear functions f , Ik : [0, τ] × ℝ × ℝ → ℝ are smooth enough, such that [...] Under this...
Controllability of three-dimensional Navier–Stokes equations and applications
We formulate two results on controllability properties of the 3D Navier–Stokes (NS) system. They concern the approximate controllability and exact controllability in finite-dimensional projections of the problem in question. As a consequence, we obtain the existence of a strong solution of the Cauchy problem for the 3D NS system with an arbitrary initial function and a large class of right-hand sides. We also discuss some qualitative properties of admissible weak solutions for randomly forced NS...
Controllability of time-varying cellular neural networks.
Controllability of Urysohn integral inclusions of Volterra type.
Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces
In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
Controllability on real reductive Lie groups.
Controllability on the group of diffeomorphisms
Controllability, penalty and stiffness
Controllability problems for the 1-D wave equation on a half-axis with the Dirichlet boundary control
In this paper necessary and sufficient conditions of L∞-controllability and approximate L∞-controllability are obtained for the control system wtt = wxx − q2w, w(0,t) = u(t), x > 0, t ∈ (0,T), where q ≥ 0, T > 0, u ∈ L∞(0,T) is a control. This system is considered in the Sobolev spaces.
Controllability problems for the 1-D wave equation on a half-axis with the Dirichlet boundary control
In this paper necessary and sufficient conditions of L∞-controllability and approximate L∞-controllability are obtained for the control system wtt = wxx − q2w, w(0,t) = u(t), x > 0, t ∈ (0,T), where q ≥ 0, T > 0, u ∈ L∞(0,T) is a control. This system is considered in the Sobolev spaces.
Controllability problems for the 1-D wave equation on a half-axis with the Dirichlet boundary control
In this paper necessary and sufficient conditions of L∞-controllability and approximate L∞-controllability are obtained for the control system wtt = wxx − q2w, w(0,t) = u(t), x > 0, t ∈ (0,T), where q ≥ 0, T > 0, u ∈ L∞(0,T) is a control. This system is considered in the Sobolev spaces.