On the stability properties of linear dynamic time-varying unforced systems involving switches between parameterizations from topologic considerations via graph theory

DOI10.1016/j.dam.2006.05.003zbMath1104.93048OpenAlexW2029087023WikidataQ57675439 ScholiaQ57675439MaRDI QIDQ858295

Asier Ibeas, Manuel de la Sen

Publication date: 9 January 2007

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2006.05.003

zbMATH Keywords

stabilitydiscrete mathematicstime-varying systemsgraph theory

Mathematics Subject Classification ID

Related Items (10)

On some boundedness and convergence properties of a class of switching maps in probabilistic metric spaces with applications to switched dynamic systems ⋮ Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition ⋮ Stability of switched feedback time-varying dynamic systems based on the properties of the gap metric for operators ⋮ Global stability of polytopic linear time-varying dynamic systems under time-varying point delays and impulsive controls ⋮ On the global asymptotic stability of switched linear time-varying systems with constant point delays ⋮ Necessary and sufficient conditions of stationary average consensus for second-order multi-agent systems ⋮ Stability results for switched linear systems with constant discrete delays ⋮ On the characterization of Hankel and Toeplitz operators describing switched linear dynamic systems with point delays ⋮ On the necessary and sufficient condition for a set of matrices to commute and some further linked results ⋮ Stability results of a class of hybrid systems under switched continuous-time and discrete-time control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Basic theoretical results for expert systems. application to the supervision of adaptation transients in planar robots
• Graphs, networks and algorithms. Transl. from the 3rd German edition by Tilla Schade
• On the uniform exponential stability of a wide class of linear time-delay systems.
• Stabilizability of systems with two point delays by using a generalized PD controller
• Robust adaptive stabilizer of a class of time-varying plants using multiple controllers
• Existence of 1-rotational \(k\)-cycle systems of the complete graph
• Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
• Frequency-based views to pattern collections
• Graph layering by promotion of nodes
• A note on Hamiltonian circuits
• FOUNDATIONS OF FUZZY SET THEORY AND FUZZY LOGIC: A HISTORICAL OVERVIEW
• Cycle decompositions III: Complete graphs and fixed length cycles
• ROBUST STABILIZATION OF A CLASS OF UNCERTAIN TIME DELAY SYSTEMS IN SLIDING MODE
• Finite dimensional variable structure control design for distributed delay systems
• Observer-based sliding mode control for nonlinear state-delayed systems
• RECONSTRUCTABILITY† ANALYSIS: Evaluation of Reconstruction Hypotheses‡
• Algorithms for Generating Fundamental Cycles in a Graph
• HIERARCHICAL UNCERTAINTY METATHEORY BASED UPON MODAL LOGIC
• The complexity of the network design problem
• Adaptive control using multiple models
• A New Method for Adaptive Control of Non-Linear Plants Using Type-2 Fuzzy Logic and Neural Networks
• Robust exponential stability of time‐varying linear systems
• Robust stability of a class of linear time-varying systems
• Stable multi-estimation model for single-input single-output discrete adaptive control systems
• On the divisibility of graphs

This page was built for publication: On the stability properties of linear dynamic time-varying unforced systems involving switches between parameterizations from topologic considerations via graph theory