Results 221 to 230 of about 114,098 (264)
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Mathematics of Control, Signals, and Systems, 1991
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The Quadratic Criterion for Distributed Systems
SIAM Journal on Control, 1969Abstract : The article explores the applicability of the quadratic criterion of optimality to the control of distributed parameter systems or, alternatively, to differential equations in a Hilbert space. It is shown that such application is indeed possible and, perhaps more important from the engineering point of view, that the optimal controls thus ...
Lukes, D. L., Russell, D. L.
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Linear systems with quadratic outputs
2017 American Control Conference (ACC), 2017We study linear systems with quadratic outputs. Our goal is to analyze and control the evolution of such quadratic outputs under a given linear control system. In this spirit, we first attempt to find a differential equation governing the evolution of the outputs in order to consequently be able to control this evolution.
Jan Maximilian Montenbruck +2 more
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On the stabilization of quadratic nonlinear systems
European Journal of Control, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oumoun, Mohamed +2 more
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Geometry of cycles in quadratic systems
Qualitative Theory of Dynamical Systems, 2002The paper is devoted to study of the affine and Euclidean differential geometric properties of cycles occurring in the phase plane of a quadratic system of differential equations. It is shown that every quadratic cycle has exactly six affine vertices and the number of Euclidean vertices can vary, not just from cycle to cycle, but for the same cycle ...
Shafer, Douglas S., Zegeling, André
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Stability Analysis of Quadratic Systems
IFAC Proceedings Volumes, 1989A n-order quadratic system is considered and an analysis of the domain of attraction of its origin is developed in the paper. The presented method selects a quadratic Lyapunov function V on the basis of the linear part of the system under study and of possible information about the field where such a system holds.
R. Genesio, A. Tesi
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Quadratic stabilization of switched systems
International Journal of Systems Science, 2005We consider quadratic stabilization of uncertain switched systems when a switching rule is imposed on state feedback controllers of subsystems. A method is proposed to constructively design switching rules for continuous and discrete-time switched systems with norm-bounded time-varying uncertainties.
Zhijian Ji +2 more
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QUADRATIC PERTURBATIONS OF A CLASS OF QUADRATIC REVERSIBLE LOTKA–VOLTERRA SYSTEMS
International Journal of Bifurcation and Chaos, 2013This paper is concerned with the bifurcation of limit cycles of a class of quadratic reversible Lotka–Volterra system [Formula: see text] with b = -1/3. By using the Chebyshev criterion to study the number of zeros of Abelian integrals, we prove that this system has at most two limit cycles produced from the period annulus around the center under ...
Yi Shao, A. Chunxiang
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A RIKITAKE TYPE SYSTEM WITH QUADRATIC CONTROL
International Journal of Bifurcation and Chaos, 2012A Rikitake type system with quadratic control having a negative tuning parameter is considered and some of the geometrical and dynamical properties are analyzed.
Cristian Lazureanu, Tudor Bînzar
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Deformations of quadratic Diophantine systems
Izvestiya: Mathematics, 2001Consider the matrix equation \(Q[X] = {^tX}QX = A\), where \(Q\) and \(A\) are positive definite symmetric integral matrices of order \(n\) and \(m\), respectively, and \(X\) ranges over the set of \(n\times m\) integer matrices. The author studies the relationship between solutions to this equation and corresponding equations \(K'[Y]=A''\) obtained by
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