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Positivity and Stability of the Solutions of Caputo Fractional Linear Time-Invariant Systems of Any Order with Internal Point Delays
(Hindawi Publishing Corporation, 2011)
This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynamics with point delays. ...
Stable Iteration Procedures in Metric Spaces which Generalize a Picard-Type Iteration
(Hindawi Publishing Corporation, 2010)
This paper investigates the stability of iteration procedures defined by continuous functions acting on self-maps in continuous metric spaces. Some of the obtained results extend the contraction principle to the use of ...
About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory
(Hindawi Publishing Corporation, 2011)
This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal ...
Robust Adaptive Stabilization of Linear Time-Invariant Dynamic Systems by Using Fractional-Order Holds and Multirate Sampling Controls
(Hindawi Publishing Corporation, 2010-02)
This paper presents a strategy for designing a robust discrete-time adaptive controller for stabilizing linear time-invariant (LTI) continuous-time dynamic systems. Such systems may be unstable and noninversely stable in ...
Model-matching-based control of the Beverton-Holt equation in Ecology
(Hindawi Publishing Corporation, 2008)
Beverton-Holt equation of Ecology has a prescribed solution. The way used to achieve the tracking objective is the design of a carrying capacity through a feedback law so that the prescribed reference sequence, which defines ...
Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
(Hindawi Publishing Corporation, 2005)
This paper deals with the problem of synthesizing a robust adaptive controller for a specific class of single-input single-output (SISO) time-invariant hybrid controlled object (plant) which can operate under bounded ...
Stability Results for Switched Linear Systems with Constant Discrete Delays
(Hindawi Publishing Corporation, 2008)
This paper investigates the stability properties of switched systems possessing several parameterizations (or configurations) while being subject to internal constant point delays. Some of the stability results are formulated ...
On the Global Asymptotic Stability of Switched Linear Time-Varying Systems with Constant Point Delays
(Hindawi Publishing Corporation, 2008)
This paper investigates the asymptotic stability of switched linear time-varying systems with constant point delays under not very stringent conditions on the matrix functions of parameters. Such conditions are their ...
Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control
(Hindawi Publishing Corporation, 2009)
This paper investigates the stability properties of a class of switched systems possessing several linear time-invariant parameterizations (or configurations) which are governed by a switching law. It is assumed that the ...
About Robust Stability of Dynamic Systems with Time Delays through Fixed Point Theory
(Hindawi Publishing Corporation, 2008)
This paper investigates the global asymptotic stability independent of the sizes of the delays of linear time-varying systems with internal point delays which possess a limiting equation via fixed point theory. The error ...