Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations
Journal of Function Spaces, 2022 The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi +2 more
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The Composite Theorem of Ternary Quadratic Inequalities and its Applications [PDF]
, 2008 In this paper, we establish the composite theorem of ternary quadratic inequalities by using the Decision Theorem and Hölder inequality. Its applications in triangle inequalities are discussed, and several problems and conjectures are put ...
Liu, Jian
core +6 more sources
The Quadratic-Quadratic Regulator Problem: Approximating feedback controls for quadratic-in-state nonlinear systems [PDF]
2020 American Control Conference (ACC), 2020 Feedback control problems involving autonomous quadratic systems are prevalent, yet there are only a limited number of software tools available for approximating their solution due to the complexity of the problem. This paper represents a step forward in the special case where both the state equation and the control costs are quadratic.
Jeff Borggaard, Lizette Zietsman
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The stability analysis of systems with nonlinear feedback expressed by a quadratic program [PDF]
, 2006 We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP).
Lennox, B +5 more
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A new chaotic hyperjerk system with four quadratic nonlinearities, its bifurcation analysis, multistability, circuit design and complete synchronization design via active backstepping control [PDF]
Archives of Control SciencesIn this research work, we propose a new four-dimensional chaotic hyperjerk system with four quadratic nonlinearities. We carry out a detailed bifurcation analysis and derive conditions for the existence of a Hopf bifurcation for the new hyperjerk system.
Sundarapandian Vaidyanathan +5 more
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Gearshift Control in Engagement Process of Dual-Motor Coaxial Propulsion System for Electric Bus
IEEE Access, 2022 Considering single-motor drive system cannot meet the requirements of high-performance electric buses for Beijing Winter Olympics, a dual-motor coaxial propulsion system based on single planet gear set is developed.
Cheng Lin, Jiang Yi, Xiao Yu, Huimin Liu
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Solubility of Systems of Quadratic Forms [PDF]
Bulletin of the London Mathematical Society, 1997 We derive an upper bound for the least number of variables needed to guarantee that a system of t quadratic forms (t>=2) over a field F has a nontrivial zero. In particular, if F is a local field, then 2t^2+3 variables insure the existence of a nontrivial zero (2t^2+1 if t is even), while if F=Q_p with p>=11, then 2t^2-2t+5 variables suffice (2t ...
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Fundamental response in the vibration control of buildings subject to seismic excitation with ATMD
Selecciones Matemáticas, 2023 The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients.
Fidel Jara Huanca +2 more
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Quadratic Dynamical Systems and Algebras
Journal of Differential Equations, 1995 It was observed by \textit{L. Markus} [Ann. Math. Stud. 45, 185-213 (1960; Zbl 0119.298)] that one can assign to every differential equation \(\dot x = Q(x)\) in \(\mathbb{R}^n\) with homogeneous quadratic \(Q\) a commutative, nonassociative algebra whose product is defined by \(xy = {1\over 2} (Q(x + y) - Q(x) - Q(y))\).
Kinyon, M.K., Sagle, A.A.
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Advances in Mechanical Engineering, 2015 From the perspective of vehicle dynamics, the four-wheel independent steering vehicle dynamics stability control method is studied, and a four-wheel independent steering varying parameter linear quadratic regulator control system is proposed with the ...
Linlin Gao +4 more
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