On the boundedness of the solutions of the continuous Riccati equation.
On the continuous dependence of trajectories of bilinear systems on controls and its applications
On the controllability of a type of large scale CNN with delays.
On the dependence of solutions upon the right hand side of an ordinary differential equation.
On the dynamics of a vaccination model with multiple transmission ways
In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity....
On the existence of equations of evolution.
On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems: Nonconvex and Multicriteria Problems
In questa Nota si continua la discussione iniziata in [4] dell'esistenza di soluzioni ottimali per problemi di ottimo controllo in . Si definiscono problemi generalizzati, e si ottengono estensioni di risultati già presentati in [4]. Si dimostrano anche varie relazioni tra le soluzioni ottimali dei problemi generalizzati e i problemi originali e non convessi di ottimo controllo. Alla fine si considerano problemi lineari nelle variabili di stato anche nel caso di costi funzionali a valori vettoriali...
On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate
In this paper explicit expressions for solutions of Cauchy problems and two-point boundary value problems concerned with the generalized Riccati matrix differential equation are given. These explicit expressions are computable in terms of the data and solutions of certain algebraic Riccati equations related to the problem. The interplay between the algebraic and the differential problems is used in order to obtain approximate solutions of the differential problem in terms of those of the algebraic...
On the order reduction of optimal control systems
On the perturbations in a time-optimal closed-loop system
On the ``Poincaré-Lyapunov”-like systems of three differential equations
On the reachable sets of non-autonomous linear control systems
On the representation of trajectories of bilinear systems and its applications
On the stabilization problem for nonholonomic distributions
Let be a smooth connected complete manifold of dimension , and be a smooth nonholonomic distribution of rank on . We prove that if there exists a smooth Riemannian metric on1for which no nontrivial singular path is minimizing, then there exists a smooth repulsive stabilizing section of on . Moreover, in dimension three, the assumption of the absence of singular minimizing horizontal paths can be dropped in the Martinet case. The proofs are based on the study, using specific results of...
On the synthesis of adaptive multiparameter control systems by the Lyapunov method
On-line identification and control of chaos in a real Chua's circuit
Open dynamical systems and their control.
Optimal control in linear systems without the condition of regular controllability
Optimal control of an epidemic through educational campaigns.
Optimal discrete approximation of continuous linear operators applicable to control problems