Fixed-time stability of switched systems with application to a problem of formation control

DOI10.1016/J.NAHS.2020.101008zbMath1478.93650OpenAlexW3112620034MaRDI QIDQ2061259

N. R. Andriyanova, Alexander Yurjevich Aleksandrov

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.nahs.2020.101008

zbMATH Keywords

differential inequalitymultiple Lyapunov functionswitched systemfixed-time stabilitymultiagent systemequidistant deployment

Mathematics Subject Classification ID

Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability of control systems (93D99) Multi-agent systems (93A16)

Related Items (7)

Finite-time bounded sampled-data control of switched time-delay systems with sector bounded nonlinearity ⋮ Higher‐order derivatives of generalized Lyapunov‐like functions for switched nonlinear systems ⋮ Dynamic event‐triggered fixed‐time adaptive fuzzy control of nonstrict‐feedback switched nonlinear systems ⋮ On the asymptotic and practical stability of Persidskii-type systems with switching ⋮ A problem of formation control on a line segment under protocols with communication delay ⋮ Actuator saturation control of continuous-time positive switched T-S fuzzy systems ⋮ Output-based optimal \(L_1\)-gain control of weighted edge-dependent switching positive systems by a new copositive Lyapunov function

Cites Work

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• Stability and stabilization of the family of pseudolinear differential systems
• Asymptotic stability conditions and estimates of solutions for nonlinear multiconnected time-delay systems
• Asymptotic stability conditions for a class of hybrid mechanical systems with switched nonlinear positional forces
• Absolute stability and Lyapunov-Krasovskii functionals for switched nonlinear systems with time-delay
• Distributed coordination of multi-agent networks. Emergent problems, models, and issues.
• Finite-time semistability, Filippov systems, and consensus protocols for nonlinear dynamical networks with switching topologies
• Finite-time stability and stabilization of time-delay systems
• Dissipativity theory for discontinuous dynamical systems: basic input, state, and output properties, and finite-time stability of feedback interconnections
• Row straightening via local interactions
• Switching in systems and control
• Global fixed-time stabilization for a class of switched nonlinear systems with general powers and its application
• Finite-time consensus for switching network topologies with disturbances
• Decentralized stability for switched nonlinear large-scale systems with interval time-varying delays in interconnections
• Stability analysis of a class of switched nonlinear systems using the time scale theory
• Conditions for fixed-time stability and stabilization of continuous autonomous systems
• Stability of sets of hybrid dynamical systems with aftereffect
• Estimate of the attraction domain for a class of nonlinear switched systems
• Weighted Homogeneity for Time-Delay Systems: Finite-Time and Independent of Delay Stability
• Stabilisability of nonlinear systems by means of time-dependent switching rules
• Finite Time Controllers
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Finite-Time Stability of Continuous Autonomous Systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Remarks on Dwell Time Solutions and Stability of Families of Nonlinear Vector Fields
• Delayed and Switched Control of Formations on a Line Segment: Delays and Switches Do Not Matter
• Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
• Nonuniform coverage control on the line

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