Stabilization of bilinear switching control systems by a mode-dependent average dwell time strategy

DOI10.2140/memocs.2021.9.107zbMath1478.93586OpenAlexW3156737069MaRDI QIDQ2056153

Naceurdine Bensalem, Messaoud Touahria

Publication date: 1 December 2021

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2021.9.107

zbMATH Keywords

stabilizationhybrid systemsbilinear systemsswitched systemsmode-dependent average dwell timemultiple Lyapunov functions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

State‐dependent switching stabilization of third‐order switched linear systems consisting of two subsystems with fully positive real part characteristic roots ⋮ On stabilizability of nonbilinear perturbed descriptor systems

Cites Work

• Nonsmooth mechanics. Models, dynamics and control
• Stability notions for a class of nonlinear systems with measure controls
• Approximately bisimilar symbolic models for nonlinear control systems
• On the stabilization of bilinear systems via constant feedback
• Control synthesis of switched systems
• On the expressiveness and decidability of o-minimal hybrid systems
• Stabilizability of second-order bilinear systems
• Stabilizing controllers for bilinear systems
• Matrix Analysis
• Controller design for bilinear systems
• Linear Matrix Inequalities in System and Control Theory
• On the control of finite-dimensional mechanical systems with unilateral constraints
• Stability theory for hybrid dynamical systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• Asymptotic stability of systems with saturation constraints
• Exponential stabilization of a class of unstable bilinear systems
• Basic problems in stability and design of switched systems
• Stabilizing a linear system by switching control with dwell time
• Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
• Dissipative Systems Analysis and Control
• Supervisory control of families of linear set-point controllers - Part I. Exact matching

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