Definition 22.5 A function u(t),t0≤t≤T, is said to be (a) a feasible control if it is measurable and u(t)∈U for all t∈[0,T]. Denote the set of all feasible controls by (22.48)u[0,T]:={u(⋅):[0,T]→U|u(t)is measurable} (b) an admissible or realizing the term...
First, abstractions of a state-space problem are generated by dropping information from the problem definition. Each resulting abstracted problem gives a lower bound on the true distance to the goal. This bound can be used as an admissible evaluation function for guiding the base-level search. ...
Definition 2 [21] An admissible order⪯onRnis a total order that refines the lattice order, i.e., is a total order, such that if(a1,…,an)⪯Lo(a¯1,…,a¯n), then also(a1,…,an)⪯(a¯1,…,a¯n). Two classical examples of admissible orders inR2are the first and...
If the (randomized) decision procedure 6 is admissible then for almost all y [2] the decision procedure 6 (', ", y) is admissible for the loss function W and family of density functions {f~ (., y), coe (2}. In the case the measure 2,0do not depend on co,then introduction of...
Rachik et al Definition 3.1 The set X∞M is finitely determined if there exists an integer k such that X∞M is nonempty and X∞M = XkM . Remark 3.1 (i) Obviously, the set XkM satisfies the following condition: for k1, k2 ∈ IN such that k1 ≤ k2, we have. X∞M ⊂ XkM2 ...
Definition 2.1 A solution of the NLS in the quarter plane is a smooth function q:[0,∞)×[0,∞)→C such that q(⋅,t)∈S([0,∞)) for each t≥0, and such that (2.1) is satisfied for x>0 and t>0. Definition 2.2 A pair of functions {g0b(t),g1b(t)}, defined for t≥...
Definition 1 [1]: A discrete-time switched system MCLF approach Specifically, to construct an MCLF, the decisive matrix Pi,l > 0 is introduced for subsystem i, l∈Z[1,wi], where wi∈ℤ≥1 is the number of decisive matrices for subsystem i. For ∀k∈[ks, ks+1), the MCLF...
Define Unadmissible. Unadmissible synonyms, Unadmissible pronunciation, Unadmissible translation, English dictionary definition of Unadmissible. a. 1. Inadmissible. Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co
Consideringq= 0,λ1=λ2=λ3=λ4= 1/4andλ5= 0and taking into account the definition of functionα, we remark that the only interesting case is forx=bandy=d. We have in this case:α(b,d)d(fb,fd) =d(a,b) = 1<√2 =4√︁34·21/4·1·21/4·(43)1/4=4√︁34[d(...
Definition 1.A subsetS0ofGis called an admissible subset ofG(with respect toN),or said to be admissible inG, if the following conditions hold.(i) For anysAS0,s2¼1GandNðsÞ0q(sosis an involution).(ii) Letr,sbe distinct elements ofS0andmr;s¼jhrsijANd2Ufyg. Then the ex-...