Journal ArticleDOI
Switching design for suboptimal guaranteed cost control of 2-D nonlinear switched systems in the Roesser model
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TLDR
In this article, a sufficient condition expressed in terms of tractable matrix inequalities is established to design a min-projection switching rule that makes the 2D switched system asymptotically stable.About:
This article is published in Nonlinear Analysis: Hybrid Systems.The article was published on 2017-05-01. It has received 28 citations till now. The article focuses on the topics: Full state feedback & Stability theory.read more
Citations
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Journal ArticleDOI
Robust guaranteed cost tracking control of quadrotor UAV with uncertainties
TL;DR: An optimal robust guaranteed cost controller is developed to minimize the upper bound of performance level and makes the quadratic performance level built for the closed-loop system have an upper bound irrespective to all admissible parameter uncertainties.
Journal ArticleDOI
Observers Design for 2-D Positive Time-Delay Roesser Systems
Hien Van Le,Hieu Trinh +1 more
TL;DR: The problem of designing positive observers for 2-D positive Roesser systems with delays is addressed in this brief and the design of an extended Luenberger-type observer and a reduced-order functional state observer that is an asymptotic approximation of a given linear functional of the state vector is considered.
Journal ArticleDOI
Exponential Stability of Two-Dimensional Homogeneous Monotone Systems With Bounded Directional Delays
Le Van Hien,Hieu Trinh +1 more
TL;DR: It is shown that based on the monotone property and homogeneity of the associated vector fields, necessary and sufficient delay-independent exponential stability conditions are derived and the magnitudes of delays are taken into deriving an explicit estimation of the exponential decay rate.
Journal ArticleDOI
Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative
TL;DR: This paper studies the input-to-state stability (ISS) of nonlinear switched systems by using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, and finds some sufficient conditions for ISS are obtained.
Journal ArticleDOI
On reachable set estimation of two-dimensional systems described by the Roesser model with time-varying delays
TL;DR: In this article, the problem of reachable set estimation of two-dimensional (2D) discrete-time systems described by the Roesser model with interval time-varying delays is considered for the first time, and new 2D weighted summation inequalities, which provide a tighter lower bound than the commonly used Jensen summation inequality, are proposed.
References
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Book
Switching in Systems and Control
TL;DR: I. Stability under Arbitrary Switching, Systems not Stabilizable by Continuous Feedback, and Systems with Sensor or Actuator Constraints with Large Modeling Uncertainty.
Journal ArticleDOI
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
Hai Lin,Panos J. Antsaklis +1 more
TL;DR: This paper focuses on the stability analysis for switched linear systems under arbitrary switching, and highlights necessary and sufficient conditions for asymptotic stability.
Journal ArticleDOI
A discrete state-space model for linear image processing
TL;DR: In this paper, the linear time-discrete state-space model is generalized from single-dimensional time to two-dimensional space, which includes extending certain basic known concepts from one to two dimensions, such as the general response formula, state transition matrix, Cayley-Hamilton theorem, observability, and controllability.
Book
Two-Dimensional Linear Systems
TL;DR: In the last two decades considerable effort and progress have been made in the two-dimensional and multidimensional systems theory and its industrial applications as mentioned in this paper, and this part of the book summarizes some recent developments in 2D linear systems theory.
Journal ArticleDOI
Technical communique: Asynchronously switched control of switched linear systems with average dwell time
Lixian Zhang,Huijun Gao +1 more
TL;DR: By allowing the Lyapunov-like function to increase during the running time of active subsystems, the extended stability results for switched systems with ADT in nonlinear setting are derived and the asynchronously switched stabilizing control problem for linear cases is solved.
Related Papers (5)
Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities
Le Van Hien,Hieu Trinh +1 more
An LMI approach to robust optimal guaranteed cost control of 2-D discrete systems described by the Roesser model
Amit Dhawan,Haranath Kar +1 more