Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems

DOI10.1134/S0005117911110117zbMath1269.93085MaRDI QIDQ2392621

P. V. Pakshin, Krzysztof Gałkowski, Eric Rogers

Publication date: 2 August 2013

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

Markovian jumpsrepetitive processeslinear discrete-time 2d systemslinear-quadratic parametrizationLMI-based algorithms

Mathematics Subject Classification ID

Related Items (3)

Unnamed Item ⋮ Stability of nonlinear 2D systems described by the continuous-time Roesser model ⋮ Vector Lyapunov functions for stability and stabilization of differential repetitive processes

Uses Software

• SeDuMi
• YALMIP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathcal H_{\infty}\) filtering for 2D Markovian jump systems
• Parametrizing stabilizing controls in stochastic systems
• Stability analysis for linear repetitive processes
• Numerical investigation of a stability theorem arising from the 2-dimensional analysis of an iterative optimal control algorithm
• Parameterization of all stabilizing \(H_{\infty }\) static state-feedback gains: application to output-feedback design
• Decoupling and iterative approaches to the control of discrete linear repetitive processes
• Analytical controller design. I
• A new approach to the LQ design from the viewpoint of the inverse regulator problem
• The ‘unreachable poles’ defect in LQR theory: analysis and remedy
• A discrete state-space model for linear image processing
• Doubly-indexed dynamical systems: State-space models and structural properties
• Linear Matrix Inequalities in System and Control Theory
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Stabilization and H  control of two-dimensional Markovian jump systems
• Distributed Control of Heterogeneous Systems
• Robust stability, ℋ₂ analysis and stabilisation of discrete-time Markov jump linear systems with uncertain probability matrix
• Discrete-time mean variance optimal control of linear systems with Markovian jumps and multiplicative noise
• LMI optimization for nonstandard Riccati equations arising in stochastic control

This page was built for publication: Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems