A new approach for the robust stability of perturbed systems with a class of noncommensurate time delays

New lower matrix bounds are derived for the solution of the continuous algebraic Lyapunov equation (CALE). Following each bound derivation, an iterative algorithm is proposed to derive tighter matrix bounds. In comparison to existing results, the presented results are more concise and are always valid when the CALE has a non-negative definite solution. We finally give numerical examples to show the effectiveness of the derived bounds and make comparisons with existing results.

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New lower matrix bounds for the solution of the continuous algebraic lyapunov equation

Davies

Shi

Wiltshire

2008

Asian Journal of Control

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New upper matrix bounds of the solution for perturbed continuous coupled algebraic Riccati matrix equation

Liu

Zhang

2012

Int. J. Control Autom. Syst.

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Lower solution bounds of the continuous coupled algebraic Riccati matrix equation

Zhang

Liu

2012

Int. J. Control Autom. Syst.

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A new approach for the robust stability of perturbed systems with a class of noncommensurate time delays

Cited by 26 publications

References 16 publications

New lower matrix bounds for the solution of the continuous algebraic lyapunov equation

New lower matrix bounds for the solution of the continuous algebraic lyapunov equation

New upper matrix bounds of the solution for perturbed continuous coupled algebraic Riccati matrix equation

Lower solution bounds of the continuous coupled algebraic Riccati matrix equation

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