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Showing 1 to 5 of 5 for “"Lyapunov equation"”.
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Robust stabilization of linear time-invariant uncertain systems via Lyapunov theory
… consideration are described by linear state equations with uncertainties. I.e. x(t) = A̅(γ)x(t) +B̅(γ)u(t), where A̅(γ) is an n x n matrix and B̅(γ) is an n x m matrix. Lyapunov theory is exploited to establish the conditions for stabilizability of the closed loop system. We consider a …
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Topology optimization of structures subjected to stochastic dynamic excitation
… the structural response is obtained by solving a Lyapunov equation. The objective function is defined in terms of the response covariance. For the stationary problem, a fast large-scale solver of the Lyapunov equation is implemented for sparse matrices; and an efficient adjoint method is proposed …
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Dynamics and control of spacecraft with retargeting flexible antennas
… The dissertation contains the derivation of the equations of motion by a Lagrangian approach using quasi-coordinates, as well as a procedure for designing the feedback controls. Assuming that antennas are flexible, distributed parameter members, the state equations of motion are hybrid. Moreover, …
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Numerical solutions of matrix equations arising in model reduction of large-scale linear -time -invariant systems
… presents and analyzes new algorithms for matrix equations arising from model reduction of linear-time-invariant (LTI) systems. Such systems arise in a variety of areas, especially in circuit simulation. When an integrated circuit has millions of devices, performing a full-system simulation can be …
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Homotopy algorithms for H²/H<sup>∞</sup> control analysis and synthesis
… on Hyland and Bernstein's optimal projection equations. Both the input normal form and Ly form are very efficient compared to the over parametrization formulation and the optimal projection equations approach, since they utilize the minimal number of possible degrees of freedom. However, they …