\(\mathcal H_2\) optimal semistable control for linear dynamical systems: an LMI approach

DOI10.1016/J.JFRANKLIN.2011.09.012zbMath1254.93131OpenAlexW1991439754MaRDI QIDQ1933538

Qing Hui, Wassim M. Haddad, Vijay Sekhar Chellaboina

Publication date: 24 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.09.012

zbMATH Keywords

least squares solution\(\mathcal H_{2}\) semistability theory for linear dynamical systemsclosed-loop Lyapunov equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

An LMI approach to adaptive robust tracker design for uncertain nonlinear systems with time-delays and input nonlinearities ⋮ On robust and optimal imperfect information state equipartitioning for network systems ⋮ Average consensus in networks of dynamic agents with uncertain topologies and time-varying delays ⋮ Distributed semistable LQR control for discrete-time dynamically coupled systems ⋮ Semistability theory for spatially distributed systems ⋮ Optimal control for linear and nonlinear semistabilization ⋮ Optimal singular control for nonlinear semistabilisation ⋮ The role of systems biology, neuroscience, and thermodynamics in network control and learning

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arc-length-based Lyapunov tests for convergence and stability with applications to systems having a continuum of equilibria
• Semistability of switched dynamical systems. I: Linear system theory
• Compartmental Modeling and Second-Moment Analysis of State Space Systems
• Singular Perturbation of Autonomous Linear Systems
• Linear Matrix Inequalities in System and Control Theory
• Nontangency-Based Lyapunov Tests for Convergence and Stability in Systems Having a Continuum of Equilibria
• Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks
• Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Qualitative Theory of Compartmental Systems

This page was built for publication: \(\mathcal H_2\) optimal semistable control for linear dynamical systems: an LMI approach