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Hybrid Dynamical Systems: Modeling, Stability, and Robustness
This book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components.
Hybrid dynamical systems
Robust stability and control for systems that combine continuous-time and discrete-time dynamics. This article is a tutorial on modeling the dynamics of hybrid systems, on the elements of stability…
Small-gain theorem for ISS systems and applications
This work addresses the problem of global asymptotic stabilization via partial-state feedback for linear systems with nonlinear, stable dynamic perturbations and for systems which have a particular disturbed recurrent structure.
Global stabilization and restricted tracking for multiple integrators with bounded controls
- A. Teel
- 1 March 1992
Input-output stability properties of networked control systems
The results provide a unifying framework for generating new scheduling protocols that preserve L/sub p/ stability properties of the system if a design parameter is chosen sufficiently small.
Exponential stability of impulsive systems with application to uncertain sampled-data systems
A nonlinear small gain theorem for the analysis of control systems with saturation
- A. Teel
- MathematicsIEEE Trans. Autom. Control.
- 1 September 1996
A nonlinear small gain theorem is presented that provides a formalism for analyzing the behavior of certain control systems that contain or utilize saturation. The theorem is used to show that an…
Networked Control Systems With Communication Constraints: Tradeoffs Between Transmission Intervals, Delays and Performance
- W. Heemels, A. Teel, N. Wouw, D. Nešić
- MathematicsIEEE Transactions on Automatic Control
- 8 February 2010
A newly developed NCS model including all these network phenomena is provided, including communication constraints, to provide an explicit construction of a continuum of Lyapunov functions that guarantee stability of the NCS in the presence of communication constraints.
A Lyapunov Proof of an Improved Maximum Allowable Transfer Interval for Networked Control Systems
Simple Lyapunov proofs are given for an improved bound on the maximum allowable transfer interval to guarantee global asymptotic or exponential stability in networked control systems.