2optimal semistable stabilisation for linear discrete-time dynamical systems with applications to network consensus

DOI10.1080/00207170802126864zbMath1168.93385OpenAlexW4236106716MaRDI QIDQ5323241

Qing Hui, Wassim M. Haddad

Publication date: 23 July 2009

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

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a904365013

zbMATH Keywords

linear matrix inequalitiesdiscrete-time systemssemistabilitymultiagent systemssemicontrollabilitysemiobservability\(\mathcal H_2\) optimal semistable control

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Observability (93B07)

Related Items (7)

Receding horizon consensus of general linear multi-agent systems with input constraints: an inverse optimality approach ⋮ Distributed semistable LQR control for discrete-time dynamically coupled systems ⋮ Semistability of switched linear systems with application to PageRank algorithms ⋮ Convergence and stability analysis for iterative dynamics with application to compartmental networks: a trajectory distance based Lyapunov approach ⋮ Semistability theory for spatially distributed systems ⋮ Optimal distributed linear averaging ⋮ Optimal semistable control for continuous-time linear systems

Cites Work

• Stability of leaderless discrete-time multi-agent systems
• Thermodynamic modeling, energy equipartition, and nonconservation of entropy for discrete-time dynamical systems
• Fast linear iterations for distributed averaging
• Singular Perturbation of Autonomous Linear Systems
• Nontangency-Based Lyapunov Tests for Convergence and Stability in Systems Having a Continuum of Equilibria
• Stability and dissipativity theory for discrete-time non-negative and compartmental dynamical systems
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Stability of multiagent systems with time-dependent communication links
• Qualitative Theory of Compartmental Systems

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