Results 151 to 160 of about 282 (182)

A multiple convex Lyapunov function for asynchronous control of discrete-time switched systems

Transactions of the Institute of Measurement and Control, 2021
In this paper, the problem of asynchronous control for a class of discrete-time switched systems is investigated under mode-dependent integrated dwell time (MDIDT) switching. By constructing a time-dependent convex function, a multiple convex Lyapunov function (MCLF) is firstly proposed for the asynchronous control of the switched systems.
Jiahao Cui, Ruihua Wang, Shumin Fei
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Schur convexity and Schur multiplicative convexity for a class of symmetric functions with applications

Ukrainian Mathematical Journal, 2009
For x = (x 1, x 2, …, x n ) ∈ (0, 1 ] n and r ∈ { 1, 2, … , n}, a symmetric function F n (x, r) is defined by the relation $$ {F_n ...
Wei-Feng Xia, Yu-Ming Chu
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Ranking multiple criteria alternatives with half-space, convex, and non-convex dominating cones: quasi-concave and quasi-convex multiple attribute utility functions

Computers & Operations Research, 1989
It is demonstrated how a multiple attribute utility function (MAUF) can be expressed as a quasi-concave or quasi-convex function using non-unique weights. The author discusses three types of local information on weights: unique (half-space), partial information on unique (convex- cone), and non-unique (nonconvex cone).
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The Schur multiplicative and harmonic convexities of the complete symmetric function

Mathematische Nachrichten, 2011
AbstractThis paper investigates the Schur multiplicative and harmonic convexities of the complete symmetric function \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$F_n(x,r)=\sum _{i_1+i_2+\cdots +i_n=r}x_1^{i_1}x_2^{i_2}\ldots x_n^{i_n}$\end{document} and the function \documentclass{article}\usepackage{amssymb}\pagestyle ...
Chu, Y.-M., Wang, G.-D., Zhang, X.-H.
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On multiplicative Hermite–Hadamard- and Newton-type inequalities for multiplicatively (P,m)-convex functions

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lulu Zhang, Yu Peng, Tingsong Du
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Minimization Technique for a Convex Function with Application to Multiple Regression Model

Optimization, 1988
This paper develops an algorithm for estimating the parameters in a general multiple regression model, The estimator coincides with the maximum likelihood estimator when the errors have a probability density function of the type f(t) = C 1 exp ( −φ(t)), where φ is a convex and symmetric function but not necessarily differentiable.
Wansoo T. Rhee, K. Anthony Rhee
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Stability and stabilization of continuous‐time switched systems: A multiple discontinuous convex Lyapunov function approach

International Journal of Robust and Nonlinear Control, 2018
SummaryIn this paper, the problems of stability and stabilization are considered for a class of switched linear systems with slow switching and fast switching. A multiple convex Lyapunov function and a multiple discontinuous convex Lyapunov function are first introduced, under which the extended stability and stabilization results are derived with a ...
Ruihua Wang, Linlin Hou, Guangdeng Zong, Shumin Fei, Dong Yang   +4 more
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Improved stability results for discrete-time switched systems: A multiple piecewise convex Lyapunov function approach

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruihua Wang, Ticao Jiao, Tao Zhang, Shumin Fei   +3 more
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On the convexity of the multiplicative version of Karmarkar's potential function

Mathematical Programming, 1988
The author shows that the multiplicative version of the potential function is strictly convex on the feasible region of the corresponding linear programming problem when the region is bounded, as is the case in the multiplicative version of Karmarkar's potential function.
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Multiplication Operators and Dynamical Systems on Weighted Locally Convex Spaces of Holomorphic Functions

gmj, 2004
Abstract Let 𝐺 be an open subset of ℂ and let 𝑉 be an arbitrary system of weights on 𝐺. Let 𝐻𝑉𝑏(𝐺) and 𝐻𝑉0(𝐺) be the weighted locally convex spaces of holomorphic functions with a topology generated by seminorms which are weighted analogues of the supremum norm.
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