On the asymptotic hyperstability of linear time-invariant continuous-time systems under a class of controllers satisfying discrete-time Popov's inequality
type: Item
instance of: scholarly article
title: On the asymptotic hyperstability of linear time-invariant continuous-time systems under a class of controllers satisfying discrete-time Popov's inequality
zbMATH Open document ID: 1427.93141
DOI: 10.1155/2018/7861396
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper is concerned with the property of asymptotic hyperstability of a continuous-time linear system under a class of continuous-time nonlinear and perhaps time-varying feedback controllers belonging to a certain class with two main characteristics; namely, (a) it satisfies discrete-type Popov's inequality at sampling instants and (b) the control law within the intersample period is generated based on its value at sampling instants being modulated by two design weighting auxiliary functions. The closed-loop continuous-time system is proved to be asymptotically hyperstable, under some explicit conditions on such weighting functions, provided that the discrete feed-forward transfer function is strictly positive real.
Mathematics Subject Classification ID: 93C57
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D10
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 7019502
Wikidata QID: Q57674459
author: M. De la Sen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7861396
OpenAlex ID: W2807549576
cites work: The reachability and observability of hybrid multirate sampling linear systems
cites work: Positive 1D and 2D systems
cites work: Q4509145
cites work: Structural properties of positive linear time-invariant difference-algebraic equations
cites work: On positivity and stability of a class of time-delay systems
cites work: On the Kalman-Yakubovich-Popov Lemma for Positive Systems
cites work: About the positivity of a class of hybrid dynamic linear systems
cites work: On the Kalman–Yakubovich–Popov lemma for discrete-time positive linear systems: a novel simple proof and some related results
cites work: The Bounded Real Lemma for Internally Positive Systems and H-Infinity Structured Static State Feedback
cites work: A result on the hyperstability of a class of hybrid dynamic systems
cites work: Stability of composite systems with an asymptotically hyperstable subsystem
cites work: Q3931079
cites work: Second-order counterexamples to the discrete-time Kalman conjecture
cites work: Q4401837
cites work: Observability of hybrid discrete-continuous systems
cites work: Hybrid discrete-continuous systems: I. stability and stabilizability
cites work: Robust stability and stabilization of uncertain switched discrete-time systems
cites work: Dissipative systems analysis and control. Theory and applications
cites work: Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms
cites work: Hybrid stabilization and synchronization of nonlinear systems with unbounded delays
cites work: Bifurcation, invariant curve and hybrid control in a discrete-time predator-prey system
cites work: Pinning adaptive hybrid synchronization of two general complex dynamical networks with mixed coupling
cites work: Sufficiency-type stability and stabilization criteria for linear time-invariant systems with constant point delays
cites work: On the asymptotic hyperstability of switched systems under integral-type feedback regulation Popovian constraints
cites work: Worst-case analysis and design of sampled-data control systems
cites work: Controllability and observability of hybrid discrete-continuous systems in the simplest function classes
cites work: Fast projection methods for minimal design problems in linear system theory
cites work: Sliding mode control of switched hybrid systems with time-varying delay
cites work: Preserving positive realness through discretization
cites work: A method for general design of positive real functions
cites work: On the design of strictly positive real transfer functions
cites work: Q5661059
description: scientific article; zbMATH DE number 7019502