On data dependence of stability domains, exponential stability and stability radii for implicit linear dynamic equations
From MaRDI portal
Publication:305699
DOI10.1007/s00498-016-0164-7zbMath1354.34146OpenAlexW2336507120MaRDI QIDQ305699
Do Duc Thuan, Nguyen Huu Du, Nguyen Thu Ha
Publication date: 30 August 2016
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00498-016-0164-7
stabilityconvergenceexponential stabilityspectrumtime scalesstability radiusdomainimplicit dynamic equations
Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Dynamic equations on time scales or measure chains (34N05)
Related Items
Robust stability for implicit dynamic equations with causal operators on time scales ⋮ Robust stability of linear time-varying implicit dynamic equations: a general consideration
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear positive control systems on time scales; controllability
- Robustness of stability of time-varying index-1 DAEs
- Stability radius of implicit dynamic equations with constant coefficients on time scales
- Some properties of Gromov-Hausdorff distances
- Stability analysis of a class of switched linear systems on non-uniform time domains
- Stability radius for structured perturbations and the algebraic Riccati equation
- A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems
- Analysis on measure chains - a unified approach to continuous and discrete calculus
- Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations
- Robustness of stability of time-varying linear systems
- Stability radii of differential algebraic equations with structured perturbations
- On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems
- Stability radii for positive linear time-invariant systems on time scales
- Stability radii of linear systems
- Singular control systems
- The topology of the \(\rho\)-Hausdorff distance
- On the stability radius of a generalized state-space system
- A formula for the stability radius of time-varying systems
- Integration on time scales.
- Dynamic equations on time scales: A survey
- Stability for time varying linear dynamic systems on time scales
- A spectral characterization of exponential stability for linear time-invariant systems on time scales
- Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions
- Stabilizability and robust stabilizability of implicit dynamic equations with constant coefficients on time scales
- On stabilisability of nonlinear systems on time scales
- On the robust stability of implicit linear systems containing a small parameter in the leading term
- Controllability, Observability, Realizability, and Stability of Dynamic Linear Systems
- Robust Stability of Differential-Algebraic Equations
- Stability and Robust Stability of Linear Time-Invariant Delay Differential-Algebraic Equations