Frequency-domain L 2-stability conditions for time-varying linear and nonlinear MIMO systems
From MaRDI portal
Publication:2927360
DOI10.1007/s11768-014-0182-2zbMath1313.93145OpenAlexW1967954579MaRDI QIDQ2927360
No author found.
Publication date: 3 November 2014
Published in: Control Theory and Technology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11768-014-0182-2
switched systemscircle criteriontime-varying systemLur'e problemmultiplier function\(L_2\)-stabilityK-P-Y lemmaNyquist's criterion
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (3)
Adaptive control of a class of nonlinear time-varying systems with multiple models ⋮ Frequency-domain stability criteria for SISO and MIMO nonlinear feedback systems with constant and variable time-delays ⋮ On the ℓ2-stability of time-varying linear and nonlinear discrete-time MIMO systems
Cites Work
- Unnamed Item
- Unnamed Item
- Stability analysis of switched systems using variational principles: An introduction
- Characterizing families of positive real matrices by matrix substitutions on scalar rational functions
- Stability of switched systems: a Lie-algebraic condition
- Global stabilization by output feedback: Examples and counterexamples
- On the Kalman-Yakubovich-Popov lemma
- Piecewise Lyapunov functions for robust stability of linear time-varying systems
- Switching in systems and control
- Switched linear systems. Control and design.
- Homogeneous Lyapunov functions for systems with structured uncertainties.
- Criteria of asymptotic stability of differential and difference inclusions encountered in control theory
- Kalman-Yakubovich-Popov lemma for matrix frequency domain inequality
- Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions
- Stability of systems with power-law non-linearities
- Zames-Falb multipliers for MIMO nonlinearities
- On the Stabilization of Persistently Excited Linear Systems
- Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
- Stability and Stabilization of Continuous‐Time Switched Linear Systems
- Delay-Integral-Quadratic Constraints and Absolute Stability of Time-Periodic Feedback Systems
- Multivariable circle criteria : an approach based on sector conditions
- Stability multipliers and multivariable circle criteria
- Global Variation Criteria for the $L_2 $-Stability of Nonlinear Time Varying Systems
- Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
- Observability and Observers for Nonlinear Systems
- A common Lyapunov function for stable LTI systems with commuting A-matrices
- Linear Matrix Inequalities in System and Control Theory
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- Dynamical systems which undergo switching
- Stability of Planar Switched Systems: The Linear Single Input Case
- Stabilization of second-order LTI switched systems
- Ordinary Differential Equations with Applications
- Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
- A dwell time approach to the stability of switched linear systems based on the distance between eigenvector sets
- Frequency-domainL2-stability conditions for switched linear and nonlinear SISO systems
- On quadratic lyapunov functions
- On common quadratic lyapunov functions for pairs of stable lti systems whose system matrices are in companion form
- A result on common quadratic Lyapunov functions
- Common Lyapunov Functions and Gradient Algorithms
- Generalized KYP lemma: unified frequency domain inequalities with design applications
- Delay-Integral-Quadratic Constraints and Stability Multipliers for Systems With MIMO Nonlinearities
- Necessary and sufficient conditions for absolute stability: the case of second-order systems
- Stability Criteria for Switched and Hybrid Systems
- Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
- The dynamics of control. With an appendix by Lars Grüne
This page was built for publication: Frequency-domain L 2-stability conditions for time-varying linear and nonlinear MIMO systems
