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Balancing for unstable nonlinear systems [PDF]
, 1993 A previously obtained method of balancing for stable nonlinear systems is extended to unstable nonlinear systems. The similarity invariants obtained by the concept of LQG balancing for an unstable linear system can also be obtained by considering a past ...
Scherpen, J.M.A.
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Dynamics of Nonlinear Systems [PDF]
The Scientific World Journal, 2014 In the last few decades, theory of dynamical systems has become a rapidly growing area of mathematics and attracted many researchers. This theory is an important and well-established branch of the modern mathematics. The reason lies in the fact that the study of dynamical systems not only has an important theoretical interest, but also is motivated by ...
Maoan Han +3 more
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On the Approximation of Moments for Nonlinear Systems [PDF]
IEEE Transactions on Automatic Control, 2021 Model reduction by moment-matching relies upon the availability of the so-called moment . If the system is nonlinear, the computation of moments depends on an underlying specific invariance equation, which can be difficult or impossible to solve. This article presents four technical contributions related to the theory of moment matching: first, we ...
Nicolas Faedo +3 more
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A principle of similarity for nonlinear vibration absorbers [PDF]
, 2015 This paper develops a principle of similarity for the design of a nonlinear absorber, the nonlinear tuned vibration absorber (NLTVA), attached to a nonlinear primary system.
Habib, Giuseppe, Kerschen, Gaetan
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Metric nonlinear connections [PDF]
, 2004 For a system of second order differential equations we determine a nonlinear connection that is compatible with a given generalized Lagrange metric. Using this nonlinear connection, we can find the whole family of metric nonlinear connections that can be
Anastasiei +19 more
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Balanced truncation of perturbative representations of nonlinear systems [PDF]
, 2007 The paper presents a novel approach for a balanced truncation style of model reduction of a perturbative representation of a nonlinear system. Empirical controllability and observability gramians for nonlinear systems are employed to define a projection ...
Condon, Marissa, Grahovski, Georgi G.
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Identification of Nonlinear Systems Using Radial Basis Function Neural Network [PDF]
, 2014 This paper uses the radial basis function neural network (RBFNN) for system identification of nonlinear systems. Five nonlinear systems are used to examine the activity of RBFNN in system modeling of nonlinear systems; the five nonlinear systems are ...
Pislaru, Crinela, Shebani, Amer
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Singularities and Moments of Nonlinear Systems [PDF]
IEEE Transactions on Automatic Control, 2020 The notions of eigenvalue, pole and moment at a pole of a continuous-time, nonlinear, time-invariant system are studied. Eigenvalues and poles are first characterized in terms of invariant subspaces. Tools from geometric control theory are used to define nonlinear enhancements of these notions and to study their relationship with the solution of ...
Alberto Padoan, Alessandro Astolfi
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Nonlinear elliptic systems [PDF]
Anais da Academia Brasileira de Ciências, 2000 In this paper we treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form - deltau = f (x, u, v,Ñu,Ñv), - deltav = g(x, u, v, Ñu, Ñv), in omega, We discuss several classes of such systems using both variational and topological methods.
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Nonlinear Generalization of Den Hartog's Equal-Peak Method [PDF]
, 2015 This study addresses the mitigation of a nonlinear resonance of a mechanical system. In view of the narrow bandwidth of the classical linear tuned vibration absorber, a nonlinear absorber, termed the nonlinear tuned vibration absorber (NLTVA), is ...
Detroux, Thibaut +3 more
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