Robust state feedback stabilisation of positive LTI systems with polytopic uncertainty

DOI10.1080/00207179.2022.2135025zbMath1530.93385OpenAlexW4304163349MaRDI QIDQ6089811

Maryam Dehghani, Mahdieh S. Sadabadi, Roozbeh Abolpour

Publication date: 15 December 2023

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2022.2135025

zbMATH Keywords

robust stabilitypolytopic uncertaintypositive systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Robust stability (93D09) Positive control/observation systems (93C28)

Cites Work

• Unnamed Item
• Stability analysis for linear systems with input backlash through sufficient LMI conditions
• On the simultaneous diagonal stability of a pair of positive linear systems
• Designing controller parameters of an LPV system via design space exploration
• Robust stability and stabilization of 2D positive system employing saturation
• Delay-dependent stability criteria of delayed positive systems with uncertain control inputs: application in mosquito-borne morbidities control
• Necessary and sufficient conditions for stabilizability of positive LTI systems
• Robust stability and stabilization of uncertain linear positive systems via integral linear constraints:L₁-gain andL_∞-gain characterization
• Stability analysis of a general family of nonlinear positive discrete time-delay systems
• Positive diagonal solutions to the Lyapunov equations
• Robust stability and stabilization for descriptor systems with uncertainties in all matrices
• L₁ synthesis of a static output controller for positive systems by LMI iteration
• <inline-formula> <tex-math notation="LaTeX">$H_2$</tex-math> </inline-formula> Analysis of LTI Systems via Conversion to Externally Positive Systems
• Stability and performance analysis of linear positive systems with delays using input–output methods
• L₂-based static output feedback controller design for a class of polytopic systems with actuator saturation
• Disturbance rejection for interconnected positive systems and its application to formation control of quadrotors
• Output feedback controller for polytopic systems exploiting the direct searching of the design space
• Stability Analysis for Linear Systems Under State Constraints
• On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems
• Optimal chemotherapy in cancer treatment: state dependent Riccati equation control and extended Kalman filter
• A new bound for Pólya's theorem with applications to polynomials positive on polyhedra.
• On linear parameter varying control of time‐delayed positive systems
• Bilinear matrix inequality‐based nonquadratic controller design for polytopic‐linear parameter varying systems

This page was built for publication: Robust state feedback stabilisation of positive LTI systems with polytopic uncertainty