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This paper investigates the problem of state bounding and controller design for switched genetic regulatory networks with mixed delays and bounded disturbances. A delay ‐dependent sufficient condition ...
Abstract In this study, we investigate the reachable set estimation for linear systems with discrete delay and distributed delay as well as disturbances. Based on the reciprocally convex combination ...
This work is further focused on analyzing a bound for a reachable set of linear uncertain systems with polytopic parameters. By means of L-K functional theory and novel inequalities, some new ...
SUMMARYThis paper is concerned with the reachable set estimation problem for discrete‐time linear systems with multiple constant delays and bounded peak inputs. The objective is to check whether ...
in the field of complex systems analysis and will stimulate the development and use of discrete dynamical approach. Improved Results on Reachable Set Bounding for Linear Delayed Systems with Polytopic ...
Summary This paper is concerned with the problem of reachable set estimation (RSE) for linear systems with time‐varying delays and bounded peak inputs. The purpose is to find an ellipsoid ...
investigated for many different systems during the past decade.5‐10 For instance, Zuo et al.11 study reachable set estimation for linear delayed systems subject to polytopic uncertainties; Che et al.12 focus ...
on the state bounding results, one can obtain reachable set estimation and global exponential stability criteria. By designing state‐feedback controllers, the state trajectories of the close‐loop system ...
and achieves a prescribed performance level for all disturbances with uniformly bounded magnitudes. A polytopic representation is used to describe the saturation behaviour. Delay ‐dependent sufficient conditions ...
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