Design of stabilizing switching control laws for discrete- and continuous-time linear systems using piecewise-linear Lyapunov functions
From MaRDI portal
Publication:4783554
DOI10.1080/00207170210151076zbMath1016.93062OpenAlexW2091390230MaRDI QIDQ4783554
Panos J. Antsaklis, Xenofon D. Koutsoukos
Publication date: 21 August 2003
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207170210151076
Lyapunov and storage functions (93D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (16)
Switched discrete-time systems with time-varying delays: A generalized \(\mathcal H_2\)-approach ⋮ A robust stabilizing law for switched linear systems ⋮ Stability and robustness of planar switching linear systems ⋮ Switched state feedback for uncertain continuous-time systems with interval delays ⋮ A numerical technique for the stability analysis of linear switched systems ⋮ Soft variable-structure controls: a survey ⋮ Interconnected continuous-time switched systems: robust stability and stabilization ⋮ LMI formulation for static output feedback design of discrete-time switched systems ⋮ On practical asymptotic stabilizability of switched affine systems ⋮ Delay-dependent dissipativity analysis and synthesis of switched delay systems ⋮ Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability ⋮ Generalized \(\mathcal H_2\) control of switched discrete-time systems with unknown delays ⋮ Design and experimental validation of piecewise-linear state observers for flexible link mechanisms ⋮ Stabilization of linear switched delay systems: \(\mathcal H_{2}\) and \(\mathcal H_{\infty }\) methods ⋮ Switched discrete-time delay systems: Delay-dependent analysis and synthesis ⋮ Robust stability and stabilization of a class of nonlinear switched discrete-time systems with time-varying delays
Cites Work
- Simultaneous equations models in applied search theory
- Stability regions of large-scale systems
- Set invariance in control
- Criteria of asymptotic stability of differential and difference inclusions encountered in control theory
- Comparison principle, positive invariance and constrained regulation of nonlinear systems
- Constrained regulation of linear systems
- Nonquadratic Lyapunov functions for robust control
- A Lyapunov function with applications to some nonlinear physical systems
- A Lyapunov function for some naturally-occurring linear homogeneous time-dependent equations
- Stability of dynamical systems: A constructive approach
- Computer generated Lyapunov functions for interconnected systems: Improved results with applications to power systems
- Positively invariant polyhedral sets of discrete-time linear systems
- Constructive stability and asymptotic stability of dynamical systems
- Vector norms as Lyapunov functions for linear systems
- Stabilization of Orthogonal Piecewise Linear Systems: Robustness Analysis and Design
- Lyapunov function construction by linear programming
- Stability theory for hybrid dynamical systems
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- Further comments on "Vector norms as Lyapunov functions for linear systems"
- Recent trends in the stability analysis of hybrid dynamical systems
- Stabilization of second-order LTI switched systems
- Basic problems in stability and design of switched systems
- Hybrid system stability and robustness verification using linear matrix inequalities
- On infinity norms as Lyapunov functions for linear systems
- Piecewise-quadratic and piecewise-linear Lyapunov functions for discontinuous systems†
- Design of piecewise linear hybrid dynamical systems using a control regulator approach
This page was built for publication: Design of stabilizing switching control laws for discrete- and continuous-time linear systems using piecewise-linear Lyapunov functions
