On the asymptotic hyperstability of linear time-invariant continuous-time systems under a class of controllers satisfying discrete-time Popov's inequality

DOI10.1155/2018/7861396zbMath1427.93141OpenAlexW2807549576WikidataQ57674459 ScholiaQ57674459MaRDI QIDQ1721432

Manuel de la Sen

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7861396

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Popov-type stability of feedback systems (93D10) Linear systems in control theory (93C05) Sampled-data control/observation systems (93C57)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controllability and observability of hybrid discrete-continuous systems in the simplest function classes
• Robust stability and stabilization of uncertain switched discrete-time systems
• Hybrid stabilization and synchronization of nonlinear systems with unbounded delays
• Second-order counterexamples to the discrete-time Kalman conjecture
• Fast projection methods for minimal design problems in linear system theory
• Structural properties of positive linear time-invariant difference-algebraic equations
• Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms
• The reachability and observability of hybrid multirate sampling linear systems
• Hybrid discrete-continuous systems: I. stability and stabilizability
• Bifurcation, invariant curve and hybrid control in a discrete-time predator-prey system
• Observability of hybrid discrete-continuous systems
• Pinning adaptive hybrid synchronization of two general complex dynamical networks with mixed coupling
• About the positivity of a class of hybrid dynamic linear systems
• On positivity and stability of a class of time-delay systems
• Sliding mode control of switched hybrid systems with time-varying delay
• On the Kalman-Yakubovich-Popov Lemma for Positive Systems
• Worst-case analysis and design of sampled-data control systems
• Stability of composite systems with an asymptotically hyperstable subsystem
• On the design of strictly positive real transfer functions
• A result on the hyperstability of a class of hybrid dynamic systems
• A method for general design of positive real functions
• On the Kalman–Yakubovich–Popov lemma for discrete-time positive linear systems: a novel simple proof and some related results
• On the asymptotic hyperstability of switched systems under integral-type feedback regulation Popovian constraints
• The Bounded Real Lemma for Internally Positive Systems and H-Infinity Structured Static State Feedback
• Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays
• Dissipative systems analysis and control. Theory and applications
• Positive 1D and 2D systems
• Preserving positive realness through discretization

This page was built for publication: On the asymptotic hyperstability of linear time-invariant continuous-time systems under a class of controllers satisfying discrete-time Popov's inequality