Stability of Continuous Time Linear Systems with Bounded Switching Intervals

DOI10.1137/22m1529579zbMath1530.93374arXiv2205.15446OpenAlexW4387740089MaRDI QIDQ6057796

Vladimir Yu. Protasov, Unnamed Author

Publication date: 26 October 2023

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15446

zbMATH Keywords

stability trajectory Lyapunov exponent dwell time invariant norm linear switching system multinorm restricted switches

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

On equivalence of two stability criteria for continuous-time switched systems with dwell time constraint
On-line trajectory generation in robotic systems. Basic concepts for instantaneous reactions to unforeseen (sensor) events
Absolute characteristic exponent of a class of linear nonstationary systems of differential equations
Switching in systems and control
Linear switched dynamical systems on graphs
An introduction to hybrid dynamical systems
Exact computation of joint spectral characteristics of linear operators
Switching systems with dwell time: computing the maximal Lyapunov exponent
Deciding the boundedness and dead-beat stability of constrained switching systems
Polytope Lyapunov functions for stable and for stabilizable LSS
The Berger-Wang formula for the Markovian joint spectral radius
Invariant Polytopes of Sets of Matrices with Application to Regularity of Wavelets and Subdivisions
A Maximum Principle for the Stability Analysis of Positive Bilinear Control Systems with Applications to Positive Linear Switched Systems
Stability and Stabilization of Continuous‐Time Switched Linear Systems
A new class of universal Lyapunov functions for the control of uncertain linear systems
Homogeneous Rational Lyapunov Functions for Performance Analysis of Switched Systems With Arbitrary Switching and Dwell Time Constraints
Basic problems in stability and design of switched systems
Algorithm 1011
The Barabanov Norm is Generically Unique, Simple, and Easily Computed
A Characterization of Switched Linear Control Systems With Finite $L_{2}$-Gain
A Nonconservative LMI Condition for Stability of Switched Systems With Guaranteed Dwell Time
Affine Characterizations of Minimal and Mode-Dependent Dwell-Times for Uncertain Linear Switched Systems
Supervisory control of families of linear set-point controllers - Part I. Exact matching

This page was built for publication: Stability of Continuous Time Linear Systems with Bounded Switching Intervals