Nonlinear systems analysis (2nd ed.)
Nonlinear systems analysis (2nd ed.)
Linear matrix inequalities in robustness analysis with multipliers
Systems & Control Letters
Analysis of Robust H2 Performance Using Multiplier Theory
SIAM Journal on Control and Optimization
Stability analysis with Popov multipliers and integral quadratic constraints
Systems & Control Letters
Stability and Robustness of Multivariable Feedback Systems
Stability and Robustness of Multivariable Feedback Systems
L2-Gain and Passivity Techniques in Nonlinear Control
L2-Gain and Passivity Techniques in Nonlinear Control
Feedback Systems: Input-Output Properties
Feedback Systems: Input-Output Properties
Automatica (Journal of IFAC)
Less conservative absolute stability criteria using integral quadratic constraints
ACC'09 Proceedings of the 2009 conference on American Control Conference
Brief paper: Multipliers for model predictive control with structured input constraints
Automatica (Journal of IFAC)
Paper: Stability results for nonlinear feedback systems
Automatica (Journal of IFAC)
Brief New results for analysis of systems with repeated nonlinearities
Automatica (Journal of IFAC)
Integral quadratic constraint approach vs. multiplier approach
Automatica (Journal of IFAC)
Equivalence between classes of multipliers for slope-restricted nonlinearities
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization.