Approximately reachable directions for piecewise linear switched systems

Robust Model Predictive Control for Switched Piecewise Linear Hybrid Systems

This paper investigates the robust tracking and regulation control problems for discrete-time, switched piecewise linear hybrid systems affected by parameter variations. In particular, the main question addressed is related to the existence of a controller such that the closedloop system exhibits an attainable desired behavior under all possible parameter variation. Checking attainability and c...

Piecewise Constant Controlled Linear Fuzzy Systems

Reachable Set Estimation and Safety Verification for Piecewise Linear Systems with Neural Network Controllers

In this work, the reachable set estimation and safety verification problems for a class of piecewise linear systems equipped with neural network controllers are addressed. The neural network is considered to consist of Rectified Linear Unit (ReLU) activation functions. A layer-by-layer approach is developed for the output reachable set computation of ReLU neural networks. The computation is for...

Reachable Sets for Linear Dynamical Systems

The properties of reachable sets for linear dynamical systems for specified control sets are discussed. Iterative procedures for determining numerical approximations of the reachable set are suggested and methods of obtaining an admissible control function which transfers an initial state to as near a prescribed target as possible is described. The problem of teachability with multiple control ...

Flexible least squares for approximately linear systems

Absfmcf -The problem of filtering and smoothing for a system described by approximately linear dynamic and measurement relations has been studied for many decades. Yet the potential problem of misspecified dynamics, which makes the usual probabilistic assumptions involving normality and independence questionable at best, has not received the attention it merits. A pmbability-free multicriteria ...