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This paper proposes a simple method for disturbance decoupling in multivariable linear systems via dynamical output compensators based on complete parametric eigenstructure assignment. By establishing a sufficient and necessary condition for disturbance decoupling in linear systems via dynamical compensators in terms of the closed-loop eigenvalues and the two groups of design parameters provided by...
This paper treats the problem of partial eigenstructure assignment by state feedback in controllable, time-invariant, multivariable linear systems. The aim is to assign only a subset of the closed-loop eigenvalues with arbitrary multiplicities, together with their right eigenvectors and eigenvector chains, while leaving the rest unchanged from the open-loop. With the help of a complete parametric...
Based on the Lyapunov Stability Theorem for linear systems, a very simple sufficient stability condition is derived for second-order linear systems in terms of the positive definiteness of the system coefficient matrices. This condition generalizes some known result and may have important applications in robust stability analysis and robust stabilization of uncertain second-order linear systems.
The problem of eigenvalue assignment with minimum sensitivity in multivariable descriptor linear systems via state feedback is considered. Based on the perturbation theory of generalized eigenvalues of matrix pairs, the sensitivity measures of the closed-loop finite eigenvalues are established in terms of the closed-loop normalized right and left eigenvectors. By combining these measures with a recently...
This study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability...
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