Incremental \((Q,S,R)\)-dissipativity and incremental stability for switched nonlinear systems

DOI10.1016/j.jfranklin.2016.08.022zbMath1349.93354OpenAlexW2514082934MaRDI QIDQ344645

Hongbo Pang, Jun Zhao

Publication date: 24 November 2016

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.08.022

zbMATH Keywords

incremental stabilityswitched nonlinear systemsfeedback interconnectionincremental \((Q,S,R)\)-dissipativity

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability of control systems (93D99)

Related Items (9)

\((Q, S, R)\)-dissipativity for switched non-linear delay systems ⋮ Exponentially incremental dissipativity for nonlinear stochastic switched systems ⋮ Vector incremental \(L_2\)-gain and incremental stability for switched nonlinear systems ⋮ Finite-time stability and stabilization of switched nonlinear systems with asynchronous switching ⋮ Incremental dissipative control for nonlinear stochastic Markovian jump systems ⋮ Incremental \(H_\infty\) performance for a class of stochastic switched nonlinear systems ⋮ Dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems with time delay ⋮ Robust dissipative filtering for impulsive switched positive systems described by the Fornasini-Marchesini second model ⋮ Incremental \(H_\infty\) control for switched nonlinear systems

Cites Work

• Unnamed Item
• Unnamed Item
• Basic properties and characterizations of incremental stability prioritizing flow time for a class of hybrid systems
• Reconfigurable control of piecewise affine systems with actuator and sensor faults: stability and tracking
• Dissipative dynamical systems: basic input-output and state properties
• Switching in systems and control
• Incremental stability analysis of stochastic hybrid systems
• Incremental passivity and output regulation
• On stability, \(L_2\)-gain and \(H_\infty\) control for switched systems
• Passivity and stability of switched systems: a multiple storage function method
• Convergent dynamics, a tribute to Boris Pavlovich Demidovich
• Input-to-state stability and interconnections of discontinuous dynamical systems
• Dissipative dynamical systems. I: General theory
• Feedback Stabilization of Bernoulli Jump Nonlinear Systems: A Passivity-Based Approach
• A Differential Lyapunov Framework for Contraction Analysis
• Nonlinear performance of a PI controlled missile: an explanation
• Incremental passivity and output tracking of switched nonlinear systems
• Dissipativity Theory for Switched Systems
• Analytical Approximation Methods for the Stabilizing Solution of the Hamilton–Jacobi Equation
• A Contraction Theory Approach to Stochastic Incremental Stability
• Further Results on Incremental Input-to-State Stability
• Approximately Bisimilar Symbolic Models for Incrementally Stable Switched Systems
• A Lyapunov approach to incremental stability properties
• Nonlinear norm-observability notions and stability of switched systems
• Analysis of Interconnected Oscillators by Dissipativity Theory
• Backstepping Design for Incremental Stability
• Global State Synchronization in Networks of Cyclic Feedback Systems

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