Journal ArticleDOI
Exponential input-to-state stability of globally Lipschitz time-delay systems under sampled-data noisy output feedback and actuation disturbances
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It is proved that, under suitable fast sampling, (global) exponential input-to-state stability with respect to both these external inputs is guaranteed.Abstract:
In this paper we deal with the problem of global exponential practical stability preservation for globally Lipschitz time-delay systems, by Euler emulation of continuous-time dynamic output feedbac...read more
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Journal ArticleDOI
Vector Extensions of Halanay's Inequality
TL;DR: In this paper, the scalar function in the usual Halanay's inequality is replaced by a vector valued function, under a Metzler condition, and a necessary and sufficient condition for asymptotic convergence of the function to the zero vector in the time invariant case is provided.
Journal ArticleDOI
Stabilisation for upper-triangular nonlinear systems subject to time-delay via sampled-data control and its applications
TL;DR: This paper investigates the stabilization problem for upper-triangular nonlinear systems subject to time-delay by using sampled-data control and aims to make the design process more feasible.
Journal ArticleDOI
Sequential predictors for delay-compensating feedback stabilization of bilinear systems with uncertainties
TL;DR: In this article, the authors construct delay-compensating input-to-state stabilizing feedback controllers for a class of nonlinear control systems that include bilinear systems that have pointwise delays in their inputs.
Journal ArticleDOI
On Semi-Global Exponential Stability Under Sampling for Locally Lipschitz Time-Delay Systems
TL;DR: In this paper , the stability preservation problem for locally Lipschitz nonlinear time-delay systems, by emulation of continuous-time dynamic output feedback controllers, is studied, and sufficient Lyapunov-like conditions are provided such that, by suitably fast sampling, the Euler emulation of Euler-based feedback controllers ensures the semiglobal exponential stability of the related sampled-data closed-loop system.
Journal ArticleDOI
Semiglobal exponential input-to-state stability of sampled-data systems based on approximate discrete-time models
TL;DR: The enabling condition, which is obtained by transforming a previously existing consistency condition into a semiglobal and perturbation-admitting condition, is obtained and it is shown that every explicit and consistent Runge-Kutta model satisfies the REPC condition and hence control design can be used to ensureSemiglobal exponential input-to-state stability of the exact discrete-time model in closed loop.
References
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Book
Introduction to Functional Differential Equations
TL;DR: The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977 and attempts to maintain the spirit of that book and have retained approximately one-third of the material intact.
Journal ArticleDOI
Smooth stabilization implies coprime factorization
TL;DR: In this paper, it was shown that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system.
Book
Introduction to the Theory and Applications of Functional Differential Equations
TL;DR: Theoretical background of functional differential equation models is described in this article, where boundary value problems and Periodic Solutions of Differential Equations (PSE) problems are discussed.
Journal ArticleDOI
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
TL;DR: A new approach to robust sampled- data control is introduced, modelled as a continuous-time one, where the control input has a piecewise-continuous delay, and sufficient linear matrix inequalities conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems.
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