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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. ...
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 ...
Adaptive control of time-invariant systems with discrete delays subject to multiestimation
(Hindawi Publishing Corporation, 2006)
This paper deals with a robustly stable adaptive pole-placement-based controller for time-delay linear systems with unknown point delays within known intervals of sufficiently small lengths under unmodeled dynamics and ...
On the Necessary and Sufficient Condition for a Set of Matrices to Commute and Some Further Linked Results
(Hindawi Publishing Corporation, 2009)
This paper investigates the necessary and sufficient condition for a set of (real or complex) matrices to commute. It is proved that the commutator [A,B]=0 for two matrices A and B if and only if a vector v(B) defined ...
Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and T-Stability
(Hindawi Publishing Corporation, 2009)
In recent literature concerning fixed point theory for self-mappings T : X -> X in metric spaces (X,d), there are some new concepts which can be mutually related so that the inherent properties of each one might be combined ...
Total Stability Properties Based on Fixed Point Theory for a Class of Hybrid Dynamic Systems
(Hindawi Publishing Corporation, 2009)
Robust stability results for nominally linear hybrid systems are obtained from total stability theorems for purely continuous-time and discrete-time systems by using the powerful tool of fixed point theory. The class of ...
Stabilization criteria for continuous linear time-invariant systems with constant lags
(Hindawi Publishing Corporation, 2006)
Some criteria for asymptotic stability of linear and time-invariant systems with constant point delays are derived. Such criteria are concerned with the properties of robust stability related to two relevant auxiliary ...
Stability and assignment of spectrum in systems with discrete time lags
(Hindawi Publishing Corporation, 2006)
The asymptotic stability with a prescribed degree of time delayed systems subject to multiple bounded discrete delays has received important attention in the last years. It is basically proved that the alpha-stability ...
Fractional hold circuits versus positive realness of discrete transfer functions
(Hindawi Publishing Corporation, 2005)
The appropriate use of fractional-order holds(beta-FROH) of correcting gains beta is an element of[- 1,1] as an alternative to the classical zero- and first-order holds(ZOHs, FOHs) is discussed related to the positive ...
About the properties of a modified generalized Beverton-Holt equation in ecology models
(Hindawi Publishing Corporation, 2008)
This paper is devoted to the study of a generalized modified version of the well-known Beverton-Holt equation in ecology. The proposed model describes the population evolution of some species in a certain habitat driven ...