Stability notions for a class of nonlinear systems with measure controls

DOI10.1007/s00498-015-0140-7zbMath1327.93330OpenAlexW1990059047MaRDI QIDQ498964

Christophe Prieur, Aneel Tanwani, Bernard Brogliato

Publication date: 29 September 2015

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01074144/file/issMDE_hal.pdf

zbMATH Keywords

nonlinear systemsLyapunov analysismeasure differential equationsasymptotic stability with Zeno phenomenoninput-to-state stability with variationmeasure controls

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Global output feedback stabilization control for non-strict feedback nonlinear systems ⋮ Input-to-state stability of impulsive systems and their networks ⋮ Well-Posedness and Output Regulation for Implicit Time-Varying Evolution Variational Inequalities ⋮ On robustness of impulsive stabilization ⋮ Optimal parameter selection problem of the state dependent impulsive differential equations ⋮ Stabilization of bilinear switching control systems by a mode-dependent average dwell time strategy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Input-to-state stability of impulsive and switching hybrid systems with time-delay
• Closed loop stability of measure-driven impulsive control systems
• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Differential systems involving impulses
• On systems of ordinary differential equations with measures as controls
• Optimal impulsive space trajectories based on linear equations
• Regularity of distributional differential algebraic equations
• Some results on optimal control with unilateral state constraints
• A chain rule involving vector functions of bounded variation
• Comments on integral variants of ISS
• Stability of measure differential equations
• On the gap between deterministic and stochastic ordinary differential equations
• Stability criteria for impulsive differential equations in terms of two measures
• Impulsive control systems with commutative vector fields
• Impulsive control systems without commutativity assumptions
• Optimal impulsive harvesting policy for single population
• Impulsive optimal control in models of economics and quantum electronics
• Schwartz' distributions in nonlinear setting: Applications to differential equations, filtering and optimal control
• Lyapunov conditions for input-to-state stability of impulsive systems
• Higher order Moreau's sweeping process: mathematical formulation and numerical simulation
• Optimal impulsive control in periodic ecosystem
• Input-to-State Stability of Nonlinear Impulsive Systems
• On Differential Systems with Quadratic Impulses and Their Applications to Lagrangian Mechanics
• Generalized ordinary differential equations
• Dynamic Optimal Control Models in Advertising: Recent Developments
• Necessary Conditions for Optimal Impulsive Control Problems
• A characterization of integral input-to-state stability
• Smooth stabilization implies coprime factorization
• The Generalized Solutions of Nonlinear Optimization Problems with Impulse Control
• Robust impulsive control of motion systems with uncertain friction
• Stability and Observer Design for Lur'e Systems with Multivalued, Nonmonotone, Time-Varying Nonlinearities and State Jumps
• An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures
• A General Theory of Minimum-Fuel Space Trajectories
• Optimal Control Theory for Nonlinear Vector Differential Equations Containing Measures
• Variational Problems with Unbounded Controls
• Existence and stability of measure differential equations

This page was built for publication: Stability notions for a class of nonlinear systems with measure controls