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Second Order Hamiltonian Systems
2020We consider the system $$\displaystyle -\ddot x(t)=\; B(t)x(t) +\nabla _xV(t,x(t)), $$ where $$\displaystyle x(t)=(x_1(t),\cdots ,x_n(t)) $$ is a map from I = [0, T] to \(\mathbb R^n\) such that each component xj(t) is a periodic function in H1 with period T, and the function V (t, x) = V (t, x1, ⋯ , xn) is continuous from \(\mathbb R^{n ...
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Constrained Controllability of Second Order Systems
2022 26th International Conference on Methods and Models in Automation and Robotics (MMAR), 2022openaire +1 more source
Adaptive Fuzzy Control for Fractional-Order Interconnected Systems With Unknown Control Directions
IEEE Transactions on Fuzzy Systems, 2022Shiqi Zheng, Choon Ki Ahn, Feng Liu
exaly
Symmetric Second-Order Systems
1994For the approximation problem it is practical to use the general first-order formulation. However, for the coupled system it is desirable to have a symmetric second-order formulation because this is the form of the finite element model. This allows us to use the standard finite element matrix formulation for the whole system.
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Controlling systems with a second-order dynamics
Nonlinear Analysis: Theory, Methods & Applications, 2001Marco, Luis, Murillo, José Alberto
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Lyapunov functions for fractional order systems
Communications in Nonlinear Science and Numerical Simulation, 2014Norelys Aguila-Camacho +2 more
exaly
Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
IEEE Transactions on Automatic Control, 1999Igor Podlubny
exaly