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1.
This paper addresses the design of H
∞ state feedback controllers for a class of nonlinear time-varying delay systems. The interesting features here are that the
system in consideration is nonautonomous with fast-varying delays, the delay is also involved in the observation output, and
the controllers to be designed satisfy some exponential stability constraints on the closed-loop poles. By using the proposed
Lyapunov functional approach, neither a controllability assumption nor a bound restriction on nonlinear perturbations is required
to obtain new sufficient conditions for the H
∞ control. The conditions are derived in terms of a solution to the standard Riccati differential equations, which allows for
simultaneous computation of the two bounds that characterize the stability rate of the solution.
This work was supported by the National Foundation for Science and Technology Development, Vietnam and the Center of Excellence
for Autonnomous Systems funded by the Australian Research Council, Australia. 相似文献
2.
This paper addresses the robust stabilization and H
∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to
design a robust H
∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent
Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H
∞ control are established in terms of linear matrix inequalities. 相似文献
3.
Quentin F. Stout 《Journal of Optimization Theory and Applications》2012,152(1):121-135
Given a function f and weights w on the vertices of a directed acyclic graph G, an isotonic regression of (f,w) is an order-preserving real-valued function that minimizes the weighted distance to f among all order-preserving functions. When the distance is given via the supremum norm there may be many isotonic regressions.
One of special interest is the strict isotonic regression, which is the limit of p-norm isotonic regression as p approaches infinity. Algorithms for determining it are given. We also examine previous isotonic regression algorithms in
terms of their behavior as mappings from weighted functions over G to isotonic functions over G, showing that the fastest algorithms are not monotonic mappings. In contrast, the strict isotonic regression is monotonic. 相似文献
4.
T. Senthilkumar P. Balasubramaniam 《Journal of Optimization Theory and Applications》2011,151(1):100-120
This paper considers the problems of delay-dependent robust stabilization and H
∞ control for nonlinear stochastic systems with Markovian jump parameters and interval time-varying delays. Based on the Lyapunov
method and introducing some appropriate free-weighting matrices, sufficient conditions for the solvability of above problems
have been investigated in terms of linear matrix inequalities (LMIs). Furthermore, the desired state feedback controller has
also been designed by solving these LMIs. Finally, a numerical example is provided to demonstrate the potential of the proposed
techniques. 相似文献
5.
Homology and cohomology of <Emphasis Type="Italic">E</Emphasis><Subscript>∞</Subscript> ring spectra
Every homology or cohomology theory on a category of E ring spectra is Topological André–Quillen homology or cohomology with appropriate coefficients. Analogous results hold more generally for categories of algebras over operads.Mathematics Subject Classification (2000): 55P43, 55P48, 55U35The second author was supported in part by NSF grant DMS-0203980. 相似文献
6.
Akira Hiraki 《Graphs and Combinatorics》2009,25(1):65-79
Let Γ be a distance-regular graph of diameter d ≥ 3 with c
2 > 1. Let m be an integer with 1 ≤ m ≤ d − 1. We consider the following conditions:
In [12] we have shown that the condition (SC)
m
holds if and only if both of the conditions (BB)
i
and (CA)
i
hold for i = 1,...,m. In this paper we show that if a
1 = 0 < a
2 and the condition (BB)
i
holds for i = 1,...,m, then the condition (CA)
i
holds for i = 1,...,m. In particular, the condition (SC)
m
holds. Applying this result we prove that a distance-regular graph with classical parameters (d, b, α, β) such that c
2 > 1 and a
1 = 0 < a
2 satisfies the condition (SC)
i
for i = 1,...,d − 1. In particular, either (b, α, β) = (− 2, −3, −1 − (−2)
d
) or holds. 相似文献
(SC) m : For any pair of vertices at distance m there exists a strongly closed subgraph of diameter m containing them. | |
(BB) m : Let (x, y, z) be a triple of vertices with ∂Γ(x, y) = 1 and ∂Γ(x, z) = ∂Γ(y, z) = m. Then B(x, z) = B(y, z). | |
(CA) m : Let (x, y, z) be a triple of vertices with and |C(z, x) ∩ C(z, y)| ≥ 2. Then C(x, z) ∪ A(x, z) = C(y, z) ∪ A(y, z). |
7.
A. A. Osinovskaya 《Siberian Mathematical Journal》2010,51(5):892-898
We study the restrictions of infinitesimally irreducible modular representations of algebraic groups of type An to subsystem subgroups of type A1 × A1. Under some restrictions on the highest weight of a representation we find their composition factors. 相似文献
8.
A. A. Korneev E. V. Shchepin 《Proceedings of the Steklov Institute of Mathematics》2018,302(1):217-249
A theory and corresponding algorithms are developed for fast and exact calculation of the L∞-locality (i.e., the greatest cube-to-linear ratio in the maximum metric) for polyfractal three-dimensional Peano curves. 相似文献
9.
Yu. Yu. Kochetkov 《Functional Analysis and Its Applications》2010,44(2):118-124
The cell structure of the spaces ℳ2,1 and ℳ3,1 is considered. These are the spaces of complex curves of genus 2 and 3 with one marked point. For the space ℳ2,1, nine cells of the highest dimension 8 are described and their adjacency is studied. For the space ℳ3,1, a list of all 1726 cells of the highest dimension 14 (with orientation) is obtained. The list of adjacent couples of cells
is also obtained. These lists can be found on the web. 相似文献
10.
We establish a connection between the absolute continuity of elliptic measure associated with a second order divergence form operator with bounded measurable coefficients with the solvability of an end-point BMO Dirichlet problem. We show that these two notions are equivalent. As a consequence we obtain an end-point perturbation result, i.e., the solvability of the BMO Dirichlet problem implies L p solvability for all p>p 0. 相似文献
11.
Motivic Milnor fibre of cyclic <Emphasis Type="Italic">L</Emphasis><Subscript>∞</Subscript>-algebras 下载免费PDF全文
Yun Feng Jiang 《数学学报(英文版)》2017,33(7):933-950
We define the motivic Milnor fiber of cyclic L ∞-algebras of dimension three using the method of Denef and Loeser of motivic integration. It is proved by Nicaise and Sebag that the topological Euler characteristic of the motivic Milnor fiber is equal to the Euler characteristic of the étale cohomology of the analytic Milnor fiber. We prove that the value of Behrend function on the germ moduli space determined by a cyclic L ∞-algebra L is equal to the Euler characteristic of the analytic Milnor fiber. Thus we prove that the Behrend function depends only on the formal neighborhood of the moduli space. 相似文献
12.
Interrelations between mixed fractional moduli of smoothness considered in the metrics of L p and L ∞ are studied on the paper. 相似文献
13.
Belmesnaoui Aqzzouz Faycel Belmahjoub Houssine Snoussi 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2007,42(6):320-326
Some properties of the ? ∞-product defined in [4] are obtained by a study of a kind of isomorphism between the computation of this ? ∞-product and the ordinary ?-product of L. Schwartz [9]. The paper contains several corollaries. 相似文献
14.
Hao Su 《Frontiers of Mathematics in China》2018,13(1):173-185
Let A be a path A∞-algebra over a positively graded quiver Q: We prove that the derived category of A is triangulated equivalent to the derived category of kQ; which is viewed as a DG algebra with trivial differential. The main technique used in the proof is Koszul duality for DG algebras. 相似文献
15.
Interrelation between full moduli of smoothness of natural orders in the metrics L1 and L∞ is considered in the paper. 相似文献
16.
We are interested in minimizing functionals with ℓ2 data and gradient fitting term and ℓ1 regularization term with higher order derivatives in a discrete setting. We examine the structure of the solution in 1D by
reformulating the original problem into a contact problem which can be solved by dual optimization techniques. The solution
turns out to be a ’smooth’ discrete polynomial spline whose knots coincide with the contact points while its counterpart in
the contact problem is a discrete version of a spline with higher defect and contact points as knots. In 2D we modify Chambolle’s
algorithm to solve the minimization problem with the ℓ1 norm of interacting second order partial derivatives as regularization term. We show that the algorithm can be implemented
efficiently by applying the fast cosine transform. We demonstrate by numerical denoising examples that the ℓ2 gradient fitting term can be used to avoid both edge blurring and staircasing effects.
相似文献
17.
We describe an explicit construction of a linear projection of a symmetric conical section of the n-dimensional cube onto a (1+ε)-isomorphic version of the Euclidean ball of proportional dimension, or more generally onto a (1+ε)-isomorphic image of an l
p
m
-ball. Allowing non-linear projections (of logarithmic polynomial nonlinearity) we may even project the full n-dimensional cube onto the same images. This is done by gluing together explicit projections onto two-dimensional spaces,
interpreting and modifying a paper of Ben-Tal and Nemirowski on polynomial reductions of conic quadratic programming problems
to linear programming problems in terms of Banach spaces.
相似文献
18.
We consider an optimal perturbation damping problem taking into account not only an external perturbation with bounded L
2-norm and an initial perturbation caused by unknown initial conditions in the system but also unknown bounded parametric perturbations.
We synthesize a robust generalized H
∞-suboptimal control minimizing the upper bound, expressed in terms of solutions of linear matrix inequalities, for the perturbation
damping level under uncertainty in the closed system. 相似文献
19.
S. V. Lapin 《Journal of Mathematical Sciences》2010,164(1):95-118
In the present paper, the technique of spectral sequences with A
∞
-structures in their terms is developed for differential algebras with filtrations. Applications of this technique to the
multiplicative spectral sequences of fibrations are given. We show that if the base of fibration is connected and simply connected,
then the structure graded A
∞
-algebra in the second term of the spectral sequence of a fibration is the tensor product of the cohomology A
∞
-algebra of the base and the cohomology A
∞
-algebra of the fibre of this fibration. 相似文献
20.
S. V. Lapin 《Mathematical Notes》2016,99(1-2):63-81
The homotopy theory of ∞-simplicial coalgebras is developed; in terms of this theory, an additional structure on the tensor bigraded coalgebra of a graded module is described such that endowing the coalgebra with this structure is equivalent to endowing the given graded module with the structure of a homotopy unital A∞-algebra. 相似文献