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Relevant bibliographies by topics / Differential Algebraic Inequality

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Academic literature on the topic 'Differential Algebraic Inequality'

Author: Grafiati

Published: 6 September 2023

Last updated: 31 July 2025

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Journal articles on the topic "Differential Algebraic Inequality"

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Reis, Timo, and Matthias Voigt. "The Dissipation Inequality for Differential-Algebraic Systems." PAMM 14, no. 1 (2014): 11–14. http://dx.doi.org/10.1002/pamm.201410004.

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Reis, Timo, Olaf Rendel, and Matthias Voigt. "The Kalman–Yakubovich–Popov inequality for differential-algebraic systems." Linear Algebra and its Applications 485 (November 2015): 153–93. http://dx.doi.org/10.1016/j.laa.2015.06.021.

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Allouche, Benyamine, Antoine Dequidt, Laurent Vermeiren, and Michel Dambrine. "Modeling and PDC fuzzy control of planar parallel robot." International Journal of Advanced Robotic Systems 14, no. 1 (2017): 172988141668711. http://dx.doi.org/10.1177/1729881416687112.

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Many works in the literature have studied the kinematical and dynamical issues of parallel robots. But it is still difficult to extend the vast control strategies to parallel mechanisms due to the complexity of the model-based control. This complexity is mainly caused by the presence of multiple closed kinematic chains, making the system naturally described by a set of differential–algebraic equations. The aim of this work is to control a two-degree-of-freedom parallel manipulator. A mechanical model based on differential–algebraic equations is given. The goal is to use the structural characte

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Uppal, Tarun, Soumyendu Raha, and Suresh Srivastava. "Inverse Simulation for Gas Turbine Engine Control through Differential Algebraic Inequality Formulation." International Journal of Turbo & Jet-Engines 35, no. 4 (2018): 373–83. http://dx.doi.org/10.1515/tjj-2016-0057.

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Abstract Modern day gas turbines are prime movers in land, air and sea. They have stringent performance requirements to meet the complex mission objectives. Optimal control strategies can help them meet their performance objectives more efficiently. A novel inverse simulation method for optimal control and system analysis studies using Differential Algebraic Equality/Inequality (DAE/DAI) technique is brought out in this paper with a case study. The gas turbine model together with safety constraints and performance specifications is represented as a high index DAI/DAE system. The solution for t

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Evangelos, Fountas, and Milioris Konstantinos. "Marshallian and Hicksian demand functions without calculus." Journal of Information and Optimization Sciences 46, no. 3 (2025): 579–90. https://doi.org/10.47974/jios-1316.

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This study introduces an innovative method for deriving the Marshallian and Hicksian demand functions without the need of calculus, thus enhancing the accessibility of these fundamental economic models for audiences with less mathematical expertise. Conventional derivations of these demand functions employ calculus to optimize utility and expenditure within restrictions, potentially restricting accessibility in educational contexts and practical implementations. We utilize algebraic methods, such as Cauchy’s inequality and the Arithmetic Mean-Geometric Mean [1], [3] (AM-GM) inequality, to deri

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Qingfei, Pan, Zhang Zifang, and Huang Jingchang. "Stability of the Stochastic Reaction-Diffusion Neural Network with Time-Varying Delays andp-Laplacian." Journal of Applied Mathematics 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/405939.

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The main aim of this paper is to discuss moment exponential stability for a stochastic reaction-diffusion neural network with time-varying delays andp-Laplacian. Using the Itô formula, a delay differential inequality and the characteristics of the neural network, the algebraic conditions for the moment exponential stability of the nonconstant equilibrium solution are derived. An example is also given for illustration.

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Pop, Nicolae. "Generalized Newton’s method for solving nonlinear and nondifferentiable algebraic systems." Journal of Numerical Analysis and Approximation Theory 44, no. 1 (2015): 93–99. http://dx.doi.org/10.33993/jnaat441-1058.

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In this paper a model based on non-smooth equations is proposed for solving a non-linear and non-differential equation obtained by discretization of a quasi-variational inequality that models the frictional contact problem. The main aim of this paper is to show that the Newton method based on the plenary hull of the Clarke generalized Jacobians (the non-smooth damped Newton method) can be implemented for solving Lipschitz non-smooth equation.

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Lê, Công-Trình, and Tien-Son Phạm. "On tangent cones at infinity of algebraic varieties." Journal of Algebra and Its Applications 17, no. 08 (2018): 1850143. http://dx.doi.org/10.1142/s0219498818501438.

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In this paper, we define the geometric and algebraic tangent cones at infinity of algebraic varieties and establish the following version at infinity of Whitney’s theorem [Local properties of analytic varieties, in Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse) (Princeton University Press, Princeton, N. J., 1965), pp. 205–244; Tangents to an analytic variety, Ann. of Math. 81 (1965) 496–549]: The geometric and algebraic tangent cones at infinity of complex algebraic varieties coincide. The proof of this fact is based on a geometric characterization of the geome

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Reis, Timo, and Matthias Voigt. "The Kalman–Yakubovich–Popov inequality for differential-algebraic systems: Existence of nonpositive solutions." Systems & Control Letters 86 (December 2015): 1–8. http://dx.doi.org/10.1016/j.sysconle.2015.09.003.

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Wu, Dongli, Hao Zhang, Yunping Liu, Weihua Fang, and Yan Wang. "Real-Time Trajectory Planning and Control for Constrained UAV Based on Differential Flatness." International Journal of Aerospace Engineering 2022 (June 20, 2022): 1–17. http://dx.doi.org/10.1155/2022/8004478.

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The trajectory planning of UAV with nonholonomic constraints is usually taken as differential algebraic equation to solve the optimal control problem of functional extremum under the condition of inequality constraints. However, it can be challenging to meet the requirements of real-time for the high complexity. A differential flat theory based on B-spline trajectory planning can replace the optimal control problem with nonlinear programming and be a good means to achieve the efficient trajectory planning of an UAV under multiple dynamic constraints. This research verifies the feasibility of t

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Dissertations / Theses on the topic "Differential Algebraic Inequality"

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Spiteri, Raymond J. "Solution methods for differential systems subject to algebraic inequality constraints." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq25165.pdf.

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Dabrowski, Yoann. "Free entropies, free Fisher information, free stochastic differential equations, with applications to Von Neumann algebras." Thesis, Paris Est, 2010. http://www.theses.fr/2010PEST1015.

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Ce travail étend nos connaissances des entropies libres et des équations différentielles stochastiques (EDS) libres dans trois directions. Dans un premier temps, nous montrons que l'algèbre de von Neumann engendrée par au moins deux autoadjoints ayant une information de Fisher finie n'a pas la propriété $Gamma$ de Murray et von Neumann. C'est un analogue d'un résultat de Voiculescu pour l'entropie microcanonique libre. Dans un second temps, nous étudions des EDS libres à coefficients opérateurs non-bornés (autrement dit des sortes d' EDP stochastiques libres ). Nous montrons la stationnarité d

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Uppal, Tarun. "Feasible Path Prescription for Engineering Systems in a High-Index Constrained Dynamics Framework." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4122.

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Constrained dynamic performance and control models of complex engineering systems can be represented in the form of a Differential Algebraic Equation (DAE) system. The high-index of this DAE system poses computational challenges. However, when success-fully solved, this system can be used for prescribed path control, wherein an inverse simulation can be performed to know the system behavior prior to operation for desired output. In this work, high-index DAE regularization challenge is brought out, and its application illustrated with variety of case studies encompassing robotic car, gas turbin

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Books on the topic "Differential Algebraic Inequality"

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Tretkoff, Paula. Algebraic Surfaces and the Miyaoka-Yau Inequality. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0005.

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This chapter discusses complex algebraic surfaces, with particular emphasis on the Miyaoka-Yau inequality and the rough classification of surfaces. Every complex algebraic surface is birationally equivalent to a smooth surface containing no exceptional curves. The latter is known as a minimal surface. Two related birational invariants, the plurigenus and the Kodaira dimension, play an important role in distinguishing between complex surfaces. The chapter first provides an overview of the rough classification of (smooth complex connected compact algebraic) surfaces before presenting two approac

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Optimization of Objective Functions: Analytics. Numerical Methods. Design of Experiments. Fizmatlit Publisher, 2009.

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Book chapters on the topic "Differential Algebraic Inequality"

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Ascher, Uri M. "Numerical Methods for Differential Systems with Algebraic Equality and Inequality Constraints." In Hybrid Systems: Computation and Control. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45873-5_2.

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Conference papers on the topic "Differential Algebraic Inequality"

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Yonchev, Andrey. "Local Perturbation Limits of the Discrete Matrix Inequality Linear Quadratic Regulator Task for Differential-algebraic Systems." In 2023 International Scientific Conference on Computer Science (COMSCI). IEEE, 2023. http://dx.doi.org/10.1109/comsci59259.2023.10315900.

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Fabien, Brian C. "A Simple Continuation Method for the Solution of Optimal Control Problems With State Variable Inequality Constraints." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13617.

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This paper develops a simple continuation method for the approximate solution of optimal control problems with pure state variable inequality constraints. The method is based on transforming the inequality constraints into equality constraints using nonnegative slack variables. The resultant equality constraints are satisfied approximately using a quadratic loss penalty function. The solution of the original problem is obtained by solving the transformed problem with a sequence of penalty weights that tends to zero. The penalty weight is treated as the continuation parameter. The necessary con

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