Differential automata and their discrete simulators
Non-Linear Analysis
An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control
SIAM Journal on Control and Optimization
Feedback Stabilization and Lyapunov Functions
SIAM Journal on Control and Optimization
An invariance principle for nonlinear hybrid and impulsive dynamical systems
Nonlinear Analysis: Theory, Methods & Applications
Weak Converse Lyapunov Theorems and Control-Lyapunov Functions
SIAM Journal on Control and Optimization
Towards a stability theory of general hybrid dynamical systems
Automatica (Journal of IFAC)
Examples when nonlinear model predictive control is nonrobust
Automatica (Journal of IFAC)
Brief paper: Stability properties of reset systems
Automatica (Journal of IFAC)
On the Optimality of Dubins Paths across Heterogeneous Terrain
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Smooth patchy control Lyapunov functions
Automatica (Journal of IFAC)
Epsilon-Tubes and Generalized Skorokhod Metrics for Hybrid Paths Spaces
HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach
HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
Dynamical properties of hybrid systems simulators
Automatica (Journal of IFAC)
On singular perturbations due to fast actuators in hybrid control systems
Automatica (Journal of IFAC)
Proceedings of the 14th international conference on Hybrid systems: computation and control
Semantics and Computability of the Evolution of Hybrid Systems
SIAM Journal on Control and Optimization
A feedback control motivation for generalized solutions to hybrid systems
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
Analysis for a class of singularly perturbed hybrid systems via averaging
Automatica (Journal of IFAC)
Reset passivation of nonlinear controllers via a suitable time-regular reset map
Automatica (Journal of IFAC)
Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics
Automatica (Journal of IFAC)
Input-to-state stability of interconnected hybrid systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Safety verification of non-linear hybrid systems is quasi-decidable
Formal Methods in System Design
Event-triggered transmission for linear control over communication channels
Automatica (Journal of IFAC)
Hi-index | 22.16 |
Motivated by questions in stability theory for hybrid dynamical systems, we establish some fundamental properties of the set of solutions to such systems. Using the notion of a hybrid time domain and general results on set and graphical convergence, we establish under weak regularity and local boundedness assumptions that the set of solutions is sequentially compact and ''upper semicontinuous'' with respect to initial conditions and system perturbations. The general facts are then used to establish several results for the behavior of hybrid systems that have asymptotically stable compact sets. These results parallel what is already known for differential inclusions and difference inclusions. For example, the basin of attraction for a compact attractor is (relatively) open, the attractivity is uniform from compact subsets of the basin of attraction, and asymptotic stability is robust with respect to small perturbations.