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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 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 ...
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 ...
Suboptimal regulation of a class of bilinear interconnected systems with finite-time sliding planning horizons
(Hindawi Publishing Corporation, 2008)
This paper focuses on the suboptimization of a class of multivariable discrete-time bilinear systems consisting of interconnected bilinear subsystems with respect to a linear quadratic optimal regulation criterion which ...
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 ...