Mean square stability for systems on stochastically generated discrete time scales

DOI10.1016/j.nahs.2018.08.001zbMath1408.93141OpenAlexW2888231471WikidataQ129345615 ScholiaQ129345615MaRDI QIDQ1730359

Dylan Poulsen, John M. Davis, Ian A. Gravagne

Publication date: 6 March 2019

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2018.08.001

zbMATH Keywords

linear systemstime scalesLyapunov methodsmean square stability

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Stochastic stability in control theory (93E15) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (5)

Bilinear state systems on an unbounded time scale ⋮ The Kalman filter on stochastic time scales ⋮ An ergodic approach to Laplace transforms on time scales ⋮ Invariance under discretization for positive systems ⋮ Mean square consensus of double-integrator multi-agent systems under intermittent control: a stochastic time scale approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains
• Linear positive control systems on time scales; controllability
• Revisiting the theory of stability on time scales of the class of linear systems with structural perturbations
• Stability radius of implicit dynamic equations with constant coefficients on time scales
• Stability analysis of a class of switched linear systems on non-uniform time domains
• A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems
• Markov chains and stochastic stability
• Stability theory for dynamic equations on time scales
• Stability radii for positive linear time-invariant systems on time scales
• A new approach to lineary perturbed Riccati equations arising in stochastic control
• Rational matrix equations in stochastic control.
• Stability for time varying linear dynamic systems on time scales
• A spectral characterization of exponential stability for linear time-invariant systems on time scales
• The Kalman filter for linear systems on time scales
• Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions
• Stability of dynamical systems. Continuous, discontinuous, and discrete systems
• Linear state feedback stabilisation on time scales
• Exponential stability of dynamic equations on time scales
• Consensus for linear multi-agent system with intermittent information transmissions using the time-scale theory
• On stabilisability of nonlinear systems on time scales
• Controllability and observability of time-invariant linear dynamic systems
• Controllability, Observability, Realizability, and Stability of Dynamic Linear Systems
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Existence and uniqueness of open-loop nash equilibria in linear-quadratic discrete time games
• The Linear Quadratic Optimization Problems for a Class of Linear Stochastic Systems With Multiplicative White Noise and Markovian Jumping
• Stability of Model-Based Networked Control Systems With Time-Varying Transmission Times

This page was built for publication: Mean square stability for systems on stochastically generated discrete time scales