A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol

DOI10.1016/j.cnsns.2022.106756zbMath1498.93023OpenAlexW4288808201WikidataQ114196402 ScholiaQ114196402MaRDI QIDQ2170833

Ricardo Almeida, Maria Luísa Morgado, Agnieszka B. Malinowska, Martin J. Bohner, Snezhana G. Hristova

Publication date: 6 September 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106756

zbMATH Keywords

multi-agent systemsconsensusimpulsive controlleadergeneralized proportional Caputo fractional derivative

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Fractional derivatives and integrals (26A33) Multi-agent systems (93A16) Consensus (93D50) Impulsive control/observation systems (93C27)

Related Items (3)

Output synchronization of wide-area multi-agent systems via an event-triggered hybrid control approach ⋮ Input-to-state stability of stochastic differential systems with hybrid delay-dependent impulses ⋮ Event-triggered and stochastic-sampled consensus of nonlinear multi-agent systems under semi-Markov switching topology

Cites Work

• Unnamed Item
• A survey on impulsive fractional differential equations
• Continuous-time consensus with discrete-time communications
• Second-order leader-following consensus of nonlinear multi-agent systems via pinning control
• Tracking control for multi-agent consensus with an active leader and variable topology
• Distributed formation control for fractional-order systems: dynamic interaction and absolute/relative damping
• Optimal control of linear systems with fractional derivatives
• Leader-following consensus of fractional nonlinear multiagent systems
• Logistic map with memory from economic model
• A generalized Lyapunov-type inequality in the frame of conformable derivatives
• Distributed formation control of nonholonomic mobile robots without global position measurements
• Leader-following consensus for fractional multi-agent systems
• Existence results of nonlinear generalized proportional fractional differential inclusions via the diagonalization technique
• Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: a heterogeneous impulsive method
• Stability for generalized Caputo proportional fractional delay integro-differential equations
• Concept of dynamic memory in economics
• A survey of multi-agent formation control
• Consensus of multi-agent linear dynamic systemsviaimpulsive control protocols
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• The existence of consensus of a leader-following problem with Caputo fractional derivative
• Consensus and Cooperation in Networked Multi-Agent Systems
• A fractional rate model of learning
• Cluster consensus of general fractional-order nonlinear multi agent systems via adaptive sliding mode controller
• On leaderless consensus of fractional-order nonlinear multi-agent systems via event-triggered control
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Mittag-Leffler functions and complete monotonicity

This page was built for publication: A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol