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192. A generalised proportional-derivative force/vision controller for torque-driven planar robotic manipulators
- Creator:
- Vidrios-Serrano, Carlos, Mendoza, Marco, Bonilla, Isela, and Maldonado-Fregoso, Berenice
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- stability, control, robot manipulator, force, and vision
- Language:
- English
- Description:
- In this paper, a family of hybrid control algorithms is presented; where it is merged a free camera-calibration image-based control scheme and a direct force controller, both with the same priority level. The aim of this generalised hybrid controller is to regulate the robot-environment interaction into a two-dimensional task-space. The design of the proposed control structure takes into account most of the dynamic effects present in robot manipulators whose inputs are torque signals. As examples of this generalised structure of hybrid force/vision controllers, a linear proportional-derivative structure and a nonlinear proportional-derivative one (based on the hyperbolic tangent function) are presented. The corresponding stability analysis, using Lyapunov's direct method and invariance theory, is performed to proof the asymptotic stability of the equilibrium vector of the closed-loop system. Experimental tests of the control scheme are presented and a suitable performance is observed in all the cases. Unlike most of the previously presented hybrid schemes, the control structure proposed herein achieves soft contact forces without overshoots, fast convergence of force and position error signals, robustness of the controller in the face of some uncertainties (such as camera rotation), and safe operation of the robot actuators when saturating functions (non-linear case) are used in the mathematical structure. This is one of the first works to propose a generalized structure of hybrid force/vision control that includes a closed loop stability analysis for torque-driven robot manipulators.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
193. A generalization of amenability and inner amenability of groups
- Creator:
- Ghaffari, Ali
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- amenability, Banach algebra, inner amenability, and locally compact group
- Language:
- English
- Description:
- Let $G$ be a locally compact group. We continue our work [A. Ghaffari: $\Gamma $-amenability of locally compact groups, Acta Math. Sinica, English Series, 26 (2010), 2313–2324] in the study of $\Gamma $-amenability of a locally compact group $G$ defined with respect to a closed subgroup $\Gamma $ of $G\times G$. In this paper, among other things, we introduce and study a closed subspace $A_\Gamma ^p(G)$ of $L^\infty (\Gamma )$ and then characterize the $\Gamma $-amenability of $G$ using $A_\Gamma ^p(G)$. Various necessary and sufficient conditions are found for a locally compact group to possess a $\Gamma $-invariant mean.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
194. A Generalization of Baer's Lemma.
- Creator:
- Dunkum, Molly
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Baer's Lemma, injective, representations of quivers, and torsion free covers
- Language:
- English
- Description:
- There is a classical result known as Baer's Lemma that states that an $R$-module $E$ is injective if it is injective for $R$. This means that if a map from a submodule of $R$, that is, from a left ideal $L$ of $R$ to $E$ can always be extended to $R$, then a map to $E$ from a submodule $A$ of any $R$-module $B$ can be extended to $B$; in other words, $E$ is injective. In this paper, we generalize this result to the category $q_{\omega }$ consisting of the representations of an infinite line quiver. This generalization of Baer's Lemma is useful in proving that torsion free covers exist for $q_{\omega }$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
195. A generalization of Lerch’s formula
- Creator:
- Kurokawa, Nobushide and Wakayama, Masato
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Lerch’s formula, Hurwitz zeta function, and zeta regularized product
- Language:
- English
- Description:
- We give higher-power generalizations of the classical Lerch formula for the gamma function.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
196. A generalization of semiflows on monomials
- Creator:
- Kulosman, Hamid and Miller, Alica
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- monomial ideal, term ideal, Dickson's lemma, and semiflow
- Language:
- English
- Description:
- Let K be a field, A = K[X1, . . . , Xn] and M the set of monomials of A. It is well known that the set of monomial ideals of A is in a bijective correspondence with the set of all subsemiflows of the M-semiflow M. We generalize this to the case of term ideals of A = R[X1, . . . , Xn], where R is a commutative Noetherian ring. A term ideal of A is an ideal of A generated by a family of terms cXµ1 1 . . . Xµn n , where c ∈ R and µ1, . . . , µn are integers ≥ 0.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
197. A generalization of the Auslander transpose and the generalized Gorenstein dimension
- Creator:
- Geng, Yuxian
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- transpose, semidualizing module, generalized Gorenstein dimension, depth, and Auslander-Bridger formula
- Language:
- English
- Description:
- Let $R$ be a left and right Noetherian ring and $C$ a semidualizing $R$-bimodule. We introduce a transpose ${\rm Tr_{c}}M$ of an $R$-module $M$ with respect to $C$ which unifies the Auslander transpose and Huang's transpose, see Z. Y. Huang, On a generalization of the Auslander-Bridger transpose, Comm. Algebra 27 (1999), 5791–5812, in the two-sided Noetherian setting, and use ${\rm Tr_{c}}M$ to develop further the generalized Gorenstein dimension with respect to $C$. Especially, we generalize the Auslander-Bridger formula to the generalized Gorenstein dimension case. These results extend the corresponding ones on the Gorenstein dimension obtained by Auslander in M. Auslander, M. Bridger, Stable Module Theory, Mem. Amer. Math. Soc. vol. 94, Amer. Math. Soc., Providence, RI, 1969.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
198. A generalization of the finiteness problem of the local cohomology modules
- Creator:
- Abbasi, Ahmad and Roshan-Shekalgourabi, Hajar
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- local cohomology module, weakly Laskerian module, ${\mathfrak a}$-weakly Laskerian module, and associated prime
- Language:
- English
- Description:
- Let $R$ be a commutative Noetherian ring and ${\mathfrak a}$ an ideal of $R$. We introduce the concept of ${\mathfrak a}$-weakly Laskerian $R$-modules, and we show that if $M$ is an ${\mathfrak a}$-weakly Laskerian $R$-module and $s$ is a non-negative integer such that ${\rm Ext}^j_R(R/{\mathfrak a}, H^i_{{\mathfrak a}}(M))$ is ${\mathfrak a}$-weakly Laskerian for all $i<s$ and all $j$, then for any ${\mathfrak a}$-weakly Laskerian submodule $X$ of $H^s_{{\mathfrak a}}(M)$, the $R$-module ${\rm Hom}_R(R/{\mathfrak a},H^s_{{\mathfrak a}}(M)/X)$ is ${\mathfrak a}$-weakly Laskerian. In particular, the set of associated primes of $H^s_{\mathfrak a}(M)/X$ is finite. As a consequence, it follows that if $M$ is a finitely generated $R$-module and $N$ is an ${\mathfrak a}$-weakly Laskerian $R$-module such that $ H^i_{{\mathfrak a}}(N)$ is ${\mathfrak a}$-weakly Laskerian for all $i<s$, then the set of associated primes of $H^s_{\mathfrak a}(M, N)$ is finite. This generalizes the main result of S. Sohrabi Laleh, M. Y. Sadeghi, and M. Hanifi Mostaghim (2012).
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
199. A generalization of the Gauss-Lucas theorem
- Creator:
- Díaz-Barrero, J. L. and Egozcue, J. J.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- polynomials, location of zeros, convex hull of the zeros, and Gauss-Lucas theorem
- Language:
- English
- Description:
- Given a set of points in the complex plane, an incomplete polynomial is defined as the one which has these points as zeros except one of them. The classical result known as Gauss-Lucas theorem on the location of zeros of polynomials and their derivatives is extended to convex linear combinations of incomplete polynomials. An integral representation of convex linear combinations of incomplete polynomials is also given.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
200. A generalized bivariate lifetime distribution based on parallel-series structures
- Creator:
- Mohtashami-Borzadaran, Vahideh , Amini , Mohammad , and Ahmadi, Jafar
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- copula, distortion, extreme-value copula, dependence measures, and competing risks
- Language:
- English
- Description:
- In this paper, a generalized bivariate lifetime distribution is introduced. This new model is constructed based on a dependent model consisting of two parallel-series systems which have a random number of parallel subsystems with fixed components connected in series. The probability that one system fails before the other one is measured by using competing risks. Using the extreme-value copulas, the dependence structure of the proposed model is studied. Kendall's tau, Spearman's rho and tail dependences are investigated for some special cases. Simulation results are given to examine the effectiveness of the proposed model.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public