Sentence examples for exists a control from inspiring English sources

Theorem 1.1 For each T > 0, controlled system (1.4) is exactly controllable in time T. Namely, there exists a control function v h ∈ L 2 ( 0, + ∞ ; V ˜ h ) such that the solution of (1.4) satisfies ( y h ( T ), y h ′ ( T ) ) = ( 0, 0,).

System (1.1) is said to be controllable on the interval if for every there exists a control such that of (1.1) satisfies.

We say that system (1.1 - 1.2 1.1 - 1.2ly controllable is thexactlyif for any there exists a controllable that a solutinn of (1.1)-(1.2) sathefies Of course, we specify below timespace of solutifns and controls.

In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps.

Simultaneously, it says that, for every point, there exists a control such that the solution of (3.1) satisfies (3.2)–(3.2).

First of all, the explicit feedback controller is developed for a nonlinear multiple-input affine system by assuming that there exists a control Lyapunov function.

Then the pair ( T, S ) is called a generalized ( ϕ, L ) -weak contraction if there exist a control function ϕ and some L ≥ 0 such that p ( T x, S y ) ≤ ϕ ( max { p ( x, y ), p ( x, T x ), p ( y, S y ), 1 2 ( p ( T x, y ) + p ( x, S y ) ) } ) + L min { p w ( x, S y ), p w ( T x, y ) } (2.2). for all x, y ∈ X.

Thus, system (5.1) has a unique -periodic -mild solution which is globally asymptotically stable and there exists a periodic control such that for all.

From the proof of Lemma 1, there exists a feasible control (tilde {boldsymbol {u}}in {mathcal {U}}_{boldsymbol {xi }}) that satisfies (|tilde {boldsymbol {u}}|_{0} leq n); see (6).

For every subset ω⊂[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in L2 0,T L2 steering the system exactly to zero. In this article we consider two optimal design problems. Let L∈ 0,1).

Whether there exists a derivative control action and whether it relates to a specific type of regulation in a metabolic pathway will not be investigated in this paper.