Lyapunov stability for impulsive control affine systems

DOI10.1016/j.jde.2018.09.033zbMath1407.93316OpenAlexW2894953182MaRDI QIDQ1710738

Luana H. Takamoto, Josiney A. Souza

Publication date: 23 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.09.033

zbMATH Keywords

Lyapunov stabilityLyapunov functionalimpulsive control systemimpulsive nonautonomous dynamical system

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Ordinary differential equations with impulses (34A37) Control/observation systems governed by ordinary differential equations (93C15) Impulsive partial differential equations (35R12)

Related Items

Growth in an impulsive integral inequality ⋮ Unnamed Item ⋮ Higher Prolongations of Control Affine Systems: Absolute Stability and Generalized Recurrence ⋮ Finite-time stability and stabilization results for switched impulsive dynamical systems on time scales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors for impulsive non-autonomous dynamical systems and their relations
• On a generalization of the impulsive control concept: controlling system jumps
• State-dependent impulsive models of integrated pest management (IPM) strategies and their dynamic consequences
• Generalized synchronization via impulsive control
• Impulsive control systems with commutative vector fields
• Necessary conditions of optimality for vector-valued impulsive control problems
• Prolongational limit sets of control systems
• Global attractors for semigroup actions
• Lyapunov stability of measure driven impulsive systems
• Lyapunov stability for semigroup actions
• On constrained impulsive control problems
• On topological conjugacy of left invariant flows on semisimple and affine Lie groups
• Impulsive non-autonomous dynamical systems and impulsive cocycle attractors
• Lyapunov Stability and Attraction Under Equivariant Maps
• Stability for impulsive control systems
• On the properness of an impulsive control extension of dynamic optimization problems
• A Nondegenerate Maximum Principle for the Impulse Control Problem with State Constraints
• On Stability in Impulsive Dynamical Systems
• Impulsive control theory