Obtaining alternative LMI constraints with applications to discrete-time MJLS and switched systems

DOI10.1016/j.jfranklin.2013.05.004zbMath1293.93376OpenAlexW2048308808MaRDI QIDQ396573

Grace S. Deaecto, José C. Geromel, André Ricardo Fioravanti, Alim P. C. Gonçalves

Publication date: 13 August 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2013.05.004

zbMATH Keywords

\(\mathcal H_2\) and \(\mathcal H_\infty\) performancediscrete-time Markov jump linear systems (MJLS)Lyapunov-Metzler stabilityswitched linear systems (SLS) stability

Mathematics Subject Classification ID

Related Items (2)

Stochastic stabilization of discrete-time Markov jump systems with generalized delay and deficient transition rates ⋮ Quadratic andH_∞switching control for discrete-time linear systems with multiplicative noises

Cites Work

• Unnamed Item
• Unnamed Item
• Suboptimal switching control consistency analysis for discrete-time switched linear systems
• \(\mathcal H_{\infty}\) robust and networked control of discrete-time MJLS through LMIs
• Dynamic output feedback \({\mathcal H}_\infty\) control of switched linear systems
• Stability results for discrete-time linear systems with Markovian jumping parameters
• Switching in systems and control
• The \(H_2\)-control for jump linear systems: Cluster observations of the Markov state
• Switched linear systems. Control and design.
• Disturbance attenuation properties of time-controlled switched systems
• Reachability realization and stabilizability of switched linear discrete-time systems.
• Full information \(H_ \infty\)-control for discrete-time infinite Markov jump parameter systems
• ℋ_∞state feedback switched control for discrete time-varying polytopic systems
• ℋ₂filtering of discrete-time Markov jump linear systems through linear matrix inequalities
• Dynamic Output Feedback Control of Discrete-Time Markov Jump Linear Systems through Linear Matrix Inequalities
• Feedback control of a class of linear discrete systems with jump parameters and quadratic cost criteria †
• Mixed H/sub 2//H/sub ∞/-control of discrete-time Markovian jump linear systems
• Basic problems in stability and design of switched systems
• Dynamic Output Feedback Control of Switched Linear Systems
• A bounded real lemma for jump systems
• Stationary filter for linear minimum mean square error estimator of discrete-time Markovian jump systems
• An H/sub /spl infin// approach to networked control
• Suboptimal Switching Control Consistency Analysis for Switched Linear Systems
• Stability and stabilization of discrete time switched systems
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

This page was built for publication: Obtaining alternative LMI constraints with applications to discrete-time MJLS and switched systems