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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 ...
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 ...
Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations
(Hindawi Publishing Corporation, 2011)
This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account ...
On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces
(Hindawi Publishing Corporation, 2011)
A set of np(>= 2)-cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping ...
On a General Contractive Condition for Cyclic Self-Mappings
(Hindawi Publishing Corporation, 2011)
On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays
(Hindawi Publishing Corporation, 2008)
This paper investigates key aspects of realization and partial realization theories for linear time-invariant systems being subject to a set of incommensurate internal and external point delays. The results are obtained ...
Adaptive stabilization of continuous-time systems through a controllable modified estimation model
(Hindawi Publishing Corporation, 2004)
This paper presents an indirect adaptive control scheme of continuous-time systems. The estimated plant model is controllable and then the adaptive scheme is free from singularities. Such singularities are avoided through ...
On pole-placement controllers for linear time-delay systems with commensurate point delays
(Hindawi Publishing Corporation, 2005)
We investigate the exact and approximate spectrum assignment properties associated with realizable output-feedback pole-placement-type controllers for single-input single-output linear time-invariant time-delay systems ...
Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors
(Hindawi Publishing Corporation, 2007)
This paper investigates the presence of oscillating solutions in time-varying difference equations even in the case when there exist parametrical errors (i.e., errors in the sequences defining their coefficients) and/or ...
On the Existence of Equilibrium Points, Boundedness, Oscillating Behavior and Positivity of a SVEIRS Epidemic Model under Constant and Impulsive Vaccination
(Hindawi Publishing Corporation, 2011)
This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well ...