polytopic

polytopic

(of a subspecies) having geographically separate but phenotypically similar populations.
Collins Dictionary of Biology, 3rd ed. © W. G. Hale, V. A. Saunders, J. P. Margham 2005
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In this case, the stability and performance are preserved, yet potential conservatism is introduced in the full-block S-procedure [11].The third approach to LPV controller synthesis is based on the properties of convex sets, in which it requires the LPV system to admit an affine or polytopic representation.
Less conservative estimation results on the reachable set for delayed systems with polytopic uncertainties were established in [22, 23] by choosing point-wise maximum Lyapunov functional corresponding to a vertex of the polytope.
The main contributions of this paper are (1) the derivation of sufficient conditions for the existence of an [H.sub.[infinity]] output-feedback controller for linear systems with polytopic uncertainties regarding input and output constraints and (2) the design of an [H.sub.[infinity]] robust yaw controller that can achieve both robust stability and performance for EVs in the presence of uncertainties considering both input and output constraints.
where x (t) [member of] [R.sup.2n] is the state vector, w (t) [member of] [R.sup.r] is the disturbance vector, u (t) [member of] [R.sup.m] is the control input, Z (t) [member of] [R.sup.p1] is the controlled output, y (t) [member of] [R.sup.p2] is the output vector, [rho](t) is the time-varying parameter, A([rho](t)) [member of] [R.sup.(nxn)], [B.sub.1] ([rho](t)) [member of] [R.sup.(nxr)], [B.sub.2]([rho](t)) [member of] [R.sup.(nxm)], [C.sub.1]([rho](t)) [member of] [R.sup.(p1xn)], [D.sub.11]([rho](t)) [member of] [R.sup.(p1xr)], [D.sub.12] ([rho](t)) [member of] [R.sup.(p1xm)], [C.sub.2] ([rho](t)) [member of] [R.sup.(p2xn)], [D.sub.21](p(t)) [member of] [R.sup.(p2xr)], [D.sub.22]([rho](t)) [member of] [R.sup.(p2xm)] are the time varying matrices written under polytopic system given by
The roles of the polytopic membrane proteins, NarK, NarU and NirC in Escherichia coli K-12: two nitrate and three nitrite transporters.
On the other hand, because the time-varying linearized model used in this work is non-affine in the time-varying parameters, it is not possible to obtain, for instance, a polytopic representation for the linearized model and, then, use some well-know techniques to improve the MPC robustness.
On the other hand, very interesting approaches have represented actual physical systems under linear parameter varying (LPV) representation expressed in polytopic structure where its parameters evolve in the hypercube domain.
Zhang, "A reduced-order fault detection filtering approach for continuous-time markovian jump systems with polytopic uncertainties," Complexity, vol.
Cole, "The roles of the polytopic membrane proteins NarK, NarU and NirC in Escherichia coli K-12: two nitrate and three nitrite transporters," Molecular Microbiology, vol.
Russell, "cDNA cloning of mouse and human cholesterol 25-hydroxylases, polytopic membrane proteins that synthesize a potent oxysterol regulator of lipid metabolism," The Journal of Biological Chemistry, vol.