Improvement on stability bounds for singularly perturbed systems via state feedback

DOI10.1080/00207729708929418zbMath0891.34055OpenAlexW1990398169MaRDI QIDQ4346479

M. Paskota, Kok Lay Teo, Victor Sreeram, Wanquan Liu

Publication date: 5 July 1998

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729708929418

zbMATH Keywords

equilibrium pointasymptotically stablelinear state feedback controllerlinear autonomous singularly perturbed differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Control problems involving ordinary differential equations (34H05) Singular perturbations of ordinary differential equations (34D15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (10)

Stability analysis of singularly perturbed control systems with actuator saturation ⋮ Robust fault estimation for singularly perturbed systems with Lipschitz nonlinearity ⋮ Fast sampling control of singularly perturbed systems with actuator saturation and \(L_2\) disturbance ⋮ \(H_\infty\) control of discrete-time singularly perturbed systems via static output feedback ⋮ Image control for discrete-time singularly perturbed systems with two Markov processes ⋮ An infinite ∍-bound stability criterion for a class of multiparameter singularly perturbed time-delay systems ⋮ Maximal stability bounds of singularly perturbed systems ⋮ Unified optimization of \(\mathrm{H}_\infty\) index and upper stability bound for singularly perturbed systems ⋮ Fault estimation and optimization for uncertain disturbed singularly perturbed systems with time-delay ⋮ Stability bound of discrete multiple time-delay singularly perturbed systems

Cites Work

• Singular perturbations and time-scale methods in control theory: Survey 1976-1983
• Characterization and computation for the bound \(\epsilon\) * in linear time-invariant singularly perturbed systems
• Robust stability of systems with application to singular perturbations
• Conditions for a matrix to have only characteristic roots with negative real parts
• Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms
• Block Lyapunov sum with applications to integral controllability and maximal stability of singularly perturbed systems
• Stability bounds of singularity perturbed systems
• On the stability bounds of singularly perturbed systems
• Unnamed Item

This page was built for publication: Improvement on stability bounds for singularly perturbed systems via state feedback