Integral quadratic constraint approach vs. multiplier approach

DOI10.1016/j.automatica.2004.10.005zbMath1116.93373OpenAlexW2016895812MaRDI QIDQ1764047

Soura Dasgupta, Yeng Chai Soh, Fu, Minyue

Publication date: 23 February 2005

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.10.005

zbMATH Keywords

Nonlinear systemsRobust stabilityMultipliersIntegral quadratic constrains

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Popov-type stability of feedback systems (93D10) Robust stability (93D09)

Related Items (9)

Robustness analysis of uncertain discrete‐time systems with dissipation inequalities and integral quadratic constraints ⋮ Linear matrix inequalities for analysis and control of linear vector second‐order systems ⋮ Robust stability and performance analysis based on integral quadratic constraints ⋮ Robust static and fixed-order dynamic output feedback control of discrete-time parametric uncertain Luré systems: Sequential SDP relaxation approaches ⋮ Factorization of multipliers in passivity and IQC analysis ⋮ Feedback Control for Distributed Massive MIMO Communication ⋮ Stability analysis by dynamic dissipation inequalities: on merging frequency-domain techniques with time-domain conditions ⋮ From distributed coordination to field calculus and aggregate computing ⋮ Robust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints

Cites Work

• Absolute stability of nonlinear systems of automatic control
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• Linear Matrix Inequalities in System and Control Theory
• System analysis via integral quadratic constraints
• Improved upper bounds for the mixed structured singular value
• Some properties of an upper bound for μ
• Lyapunov functions for uncertain systems with applications to the stability of time varying systems
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty
• Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
• Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
• A System Theory Criterion for Positive Real Matrices
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