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Additional resources for Differential Equations Volume 43, Number 6 June, 2007

Sample text

One has the energy estimate ∞ 2 uh L2,∞ (Q) + Dt L η h 2 h L2 (Q) + E e L1,∞ (Q) Sr s0 , eh + 2 0 Proof. For m = 1, we set uhΓ = 1 − (τ ) uhΓ x=X = uX , 0 ≤ h ≤ 1, and Dt uhΓ = 1 − ) Dt u(τ 0 + h h h (τ ) h (τ ) uX , u0 + ≤ K(N ). 2) L1,∞ (Q) h (τ ) = Ih η h /V h . Note that uhΓ ) h h Dt u(τ X + dV u − uΓ , x=0 = u0 , Dˆ uhΓ = dV η h , where dV = uX − u0 /V h . We set uhΓ = uX for m = 2 and uhΓ = 0 for m = 3. Let us introduce the functions v h = uh − uhΓ and σΓ = (1 − x/X)σ0 + (x/X)σX . By taking the inner product of Eq.

6 2007 STABILIZATION OF PROGRAMMED MOTIONS BY THE VIRTUAL OUTPUT . . 769 The structure of system (3) is similar to that of system (2) with output y = z. Following [7], we say that the nonautonomous system (3) is represented in normal form, and the system of equations ψ˙ = q¯(0, ψ, t), (5) where q¯(0, 0, t) = 0, is referred to as the zero dynamics of the nonstationary system (3). If the equilibrium point ψ = 0 of the zero dynamics is (uniformly) asymptotically stable, then the aﬃne system (3) with output y = e is referred to as a (uniformly) minimal-phase system.

I. , Optimizatsiya garantii v zadachakh upravleniya (Guaranteed Optimization in Control Problems), Moscow: Nauka, 1981. 2. , Dokl. Akad. Nauk , 1975, vol. 224, no. 6, pp. 1272–1275. 3. , Mat. , 1976, vol. 99, no. 3, pp. 394–420. 4. V. , Vestnik Leningr. Univ. Ser. , 1977, vol. 1, pp. 77–82. 5. , Prikl. Mat. , 1977, vol. 41, no. 5, pp. 825–832. 6. , Prikl. Mat. , 1982, vol. 46, no. 5, pp. 874–877. 7. , Dokl. Akad. Nauk , 1991, vol. 319, no. 6, pp. 1333–1335. 8. , Operatory znacheniya antagonisticheskikh diﬀerentsial’nykh igr (Value Operators in Two-Person Zero-Sum Diﬀerential Games), St.