On impulse-free solutions and stability of switched nonlinear differential-algebraic equations
DOI10.1016/j.automatica.2023.111208zbMath1520.93366OpenAlexW4385387162MaRDI QIDQ6136157
Publication date: 28 August 2023
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2023.111208
stabilitynonlinear differential-algebraic equationsswitched systemsimpulse-freenesselectrical circuitscommon Lyapunov functionscommutativity condition
Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Control/observation systems governed by ordinary differential equations (93C15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The quasi-Weierstrass form for regular matrix pencils
- A commutation condition for stability analysis of switched linear descriptor systems
- Switched nonlinear differential algebraic equations: solution theory, Lyapunov functions, and stability
- Stability analysis of switched linear singular systems
- Dependence of solutions of nonsmooth differential-algebraic equations on parameters
- Controlled invariance for nonlinear differential-algebraic systems
- Regularity of distributional differential algebraic equations
- The eigenvalue problem \(\lambda Tx+Sx\)
- On an existence and uniqueness theory for nonlinear differential- algebraic equations
- Nonlinear control systems.
- Switching in systems and control
- A converse Lyapunov theorem for nonlinear switched systems.
- Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory
- Impulse-free jump solutions of nonlinear differential-algebraic equations
- From Morse triangular form of ODE control systems to feedback canonical form of DAE control systems
- Some stability tests for switched descriptor systems
- Regularization of linear time-invariant differential-algebraic systems
- Averaging for switched DAEs: convergence, partial averaging and stability
- Common Lyapunov functions for families of commuting nonlinear systems
- Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions
- A condition for the stability of switched nonlinear systems
- Stabilization of Switched Linear Differential Algebraic Equations and Periodic Switching
- Jump behavior of circuits and systems
- Modeling and control of impact in mechanical systems: theory and experimental results
- Dynamical systems which undergo switching
- Basic problems in stability and design of switched systems
- Discontinuous solutions of semilinear differential-algebraic equations—I. Distribution solutions
- Solution Concepts for Linear DAEs: A Survey
- Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
- Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
- Analysis of the Implicit Euler Time-Discretization of Semiexplicit Differential-Algebraic Linear Complementarity Systems
- Some perspectives on the analysis and control of complementarity systems
- Attack Detection and Identification in Cyber-Physical Systems
- Stability Criteria for Switched and Hybrid Systems
- Geometric Analysis of Differential-Algebraic Equations via Linear Control Theory
This page was built for publication: On impulse-free solutions and stability of switched nonlinear differential-algebraic equations
