Non-minimal factorization approach to the \(\ell_\infty\)-gain of discrete-time linear systems

DOI10.1016/j.automatica.2013.06.003zbMath1364.93436OpenAlexW2052502703MaRDI QIDQ2628503

Bruno Picasso, Colaneri, Patrizio

Publication date: 2 June 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2013.06.003

zbMATH Keywords

factorizationpositive systemsstatic output feedback\(\ell_\infty\)-gain

Mathematics Subject Classification ID

Feedback control (93B52) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (1)

Adaptive optimal ℓ∞‐induced robust stabilization of minimum phase SISO plant under bounded disturbance and coprime factor perturbations

Cites Work

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• Hypercubes are minimal controlled invariants for discrete-time linear systems with quantized scalar input
• Robust stabilization of nonlinear interconnected systems by decentralized dynamic output feedback
• On computing the worst-case peak gain of linear systems
• Solution of a problem in the optimal control of a discrete linear system
• Static output feedback -- a survey
• Optimization-based design of fixed-order controllers for command following
• Optimization of linear systems subject to bounded exogenous disturbances: the invariant ellipsoid technique
• Chain-scattering approach to \(H^ \infty\) control
• Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
• Optimal rejection of persistent bounded disturbances
• MIMO l 1 optimal control problems via the polynomial equations approach
• A new approach to the solution of the l/sub 1/ control problem: the scaled-Q method
• A convex optimization approach to fixed-order controller design for disturbance rejection in SISO systems
• Robust Stability Analysis of Nonlinear Discrete-Time Systems With Application to MPC
• <formula formulatype="inline"> <tex Notation="TeX">${\cal L}_{1}$</tex></formula> Adaptive Controller for Uncertain Nonlinear Multi-Input Multi-Output Systems With Input Quantization
• Decentralized MPC of nonlinear systems: An input‐to‐state stability approach
• Input-to-state stability for discrete-time nonlinear systems

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