Results 21 to 30 of about 293,764 (287)
Oscillation of linear Hamiltonian systems
Computers & Mathematics with Applications, 2002 The authors investigate oscillatory properties of the linear Hamiltonian system \[ x'=A(t)x+B(t)u,\quad u'=C(t)x-A^T(t)u, \tag{*} \] where \(A,B,C\) are \(n\times n\)-matrices with continuous entries for \(t\in [t_0,\infty)\), \(B,C\) are symmetric and the matrix \(B\) is supposed to be positive definite.
Meng, Fanwei, Sun, Yuangong
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Linear port-Hamiltonian DAE systems revisited
Systems & Control Letters, 2022 13 ...
Arjan van der Schaft, Volker Mehrmann
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Passive robust control for uncertain Hamiltonian systems by using operator theory
CAAI Transactions on Intelligence Technology, 2022 In this study, the passivity‐based robust control and tracking for Hamiltonian systems with unknown perturbations by using the operator‐based robust right coprime factorisation method is concerned.
Ni Bu +4 more
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Lax Pairs for Linear Hamiltonian Systems [PDF]
Siberian Mathematical Journal, 2019 In the paper Lax pairs for linear Hamiltonian systems of differential equations are constructed. In particular, Gr bner bases are used for the computations. It is proved that the maps which appear in the construction of Lax pairs are Poisson. Various properties of first integrals of the system which are obtained from the Lax pairs are investigated.
Zheglov, A. B., Osipov, D. V.
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A Lax Equation for the Non-Linear Sigma Model [PDF]
, 2002 We propose a Lax equation for the non-linear sigma model which leads directly to the conserved local charges of the system. We show that the system has two infinite sets of such conserved charges following from the Lax equation, much like dispersionless ...
A Constandache +36 more
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A DIFFERENTIAL INTEGRABILITY CONDITION FOR TWO-DIMENSIONAL HAMILTONIAN SYSTEMS
Acta Polytechnica, 2014 We review, restate, and prove a result due to Kaushal and Korsch [Phys. Lett. A 276, 47 (2000)] on the complete integrability of two-dimensional Hamiltonian systems whose Hamiltonian satisfies a set of four linear second order partial differential ...
Ali Mostafazadeh
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Dissipative Linear Stochastic Hamiltonian Systems [PDF]
2018 Australian & New Zealand Control Conference (ANZCC), 2018 This paper is concerned with stochastic Hamiltonian systems which model a class of open dynamical systems subject to random external forces. Their dynamics are governed by Ito stochastic differential equations whose structure is specified by a Hamiltonian, viscous damping parameters and system-environment coupling functions.
Vladimirov, Igor G., Petersen, Ian R.
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Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System
Abstract and Applied Analysis, 2013 This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits.
Yanqin Xiong, Maoan Han
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New results for time reversed symplectic dynamic systems and quadratic functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we examine time scale symplectic (or Hamiltonian) systems and the associated quadratic functionals which contain a forward shift in the time variable.
Roman Simon Hilscher, Petr Zemanek
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Structural identifiability of linear Port Hamiltonian systems
Systems & Control Letters, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Medianu, Silviu, Lefèvre, Laurent
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