Sentence examples for bounded by a positive from inspiring English sources

By employing the backstepping design technique, a state-feedback adaptive controller is constructed such that a meaningful risk sensitive cost remains bounded by a positive definite function of the initial conditions.

The inter-sampling intervals can be proved to be lower bounded by a positive constant, which is independent on the magnitudes of the unmeasurable state and the external disturbance.

Without loss of generality, we assume that they are bounded by a positive constant M 1.

Choose a sequence that is bounded by a positive constant in and converges to zero uniformly on compact subsets of.

(2.9) If (N=2), the right hand side of (2.9) is bounded by a positive constant independent of R.

(2.5) If (N=2), since u is a bounded solution, the right hand side of (2.5) is bounded by a positive constant independent of R.

The inter event execution time is shown to be lower bounded by a finite positive quantity to exclude Zeno behavior.

Namely, for any initial, the interevent times ({ tau _{i + 1} - tau_{i} }) defined by equation (8) are lower bounded by a strictly positive time τ.

The proposed POA algorithm to find an ξ-optimal solution for (31) is summarized in Algorithm 2. A key requirement for provable convergence is that z is lower bounded by a strictly positive vector [34].

Let α∈ 0,2), letE u,u)="∫Rd∫Rd u y)−u(x 2A x,y)|x−y|d+αdydx be the Dirichlet form for a stable-like operator, letΓu(x)="(∫Rd u y)−u(x 2A x,y)|x−y|d+αdy)1/2, let L be the associated infinitesimal generator, and suppose A x,y) is jointly measurable, symmetric, bounded, and bounded below by a positive constant.

It is obvious that the left side of (18) is positive and bounded by a finite number K. Here, we assume that the left side is always smaller than a finite number under all the constraints.