On convergence properties of piecewise affine systems
From MaRDI portal
Publication:5423833
DOI10.1080/00207170701261978zbMath1133.93021OpenAlexW2029063034MaRDI QIDQ5423833
No author found.
Publication date: 31 October 2007
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207170701261978
convergence of piecewise affine systemscriteria for convergenceexponential, uniform and quadratic convergence
Design techniques (robust design, computer-aided design, etc.) (93B51) Control/observation systems in abstract spaces (93C25)
Related Items
\( \mathcal{L}_2\)-incremental gain stability of linear systems with nonlinear Lipschitz actuator, Contraction and incremental stability of switched Carathéodory systems using multiple norms, Tracking and synchronisation for a class of PWA systems, A synchronization-based state observer for impact oscillators using only collision time information, Aircraft control with anti-windup compensation, Convergence conditions for some classes of nonlinear systems, Contraction analysis of switched systems via regularization, Finite-time stability of a class of continuous-time non-homogeneous switched systems, Model reference adaptive control of piecewise affine systems with state tracking performance guarantees, New conditions on synchronization of networks of linearly coupled dynamical systems with non-Lipschitz right-hand sides, Review on contraction analysis and computation of contraction metrics, Convergent Systems: Nonlinear Simplicity, Quadratic stability and stabilization of bimodal piecewise linear systems, Reconfigurable control of piecewise affine systems with actuator and sensor faults: stability and tracking, Robust \(H_\infty\) switching rule design for boost converters with uncertain parameters and disturbances, An event-triggered model predictive control with exponentially stable offset free for PWA systems with model-plant mismatch, Incremental \(\mathcal{L}_2\)-gain stability of piecewise-affine systems with piecewise-polynomial storage functions, Learning-based frequency response function estimation for nonlinear systems
Cites Work
- Unnamed Item
- On the input-to-state stability property
- On contraction analysis for non-linear systems
- A Volterra series approach to the approximation of stochastic nonlinear dynamics
- Performance of convergence-based variable-gain control of optical storage drives
- Convergent dynamics, a tribute to Boris Pavlovich Demidovich
- Observability and controllability of piecewise affine and hybrid systems
- Steady-state analysis of piecewise-linear dynamic systems
- A qualitative analysis of the behavior of dynamic nonlinear networks: Steady-state solutions of nonautonomous networks
- Nonlinear performance of a PI controlled missile: an explanation
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Asymptotic properties of incrementally stable systems
- A Lyapunov approach to incremental stability properties
- On the dynamic analysis of piecewise-linear networks
- On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y 2 )y˙ + y = b λk cos(λl + α), k Large
