On the genericity of the observability of controlled discrete-time systems
In this paper, we prove the genericity of the observability for discrete-time systems with more outputs than inputs.
On the genericity of the observability of controlled discrete-time systems
In this paper, we prove the genericity of the observability for discrete-time systems with more outputs than inputs.
On the identification of diffusion coefficients
On the interaction between theory experiments and simulation in developing practical learning control algorithms
Iterative learning control (ILC) develops controllers that iteratively adjust the command to a feedback control system in order to converge to zero tracking error following a specific desired trajectory. Unlike optimal control and other control methods, the iterations are made using the real world in place of a computer model. If desired, the learning process can be conducted both in the time domain during each iteration and in repetitions, making ILC a 2D system. Because ILC iterates with the real...
On the -instability and -controllability of steady flows of an ideal incompressible fluid
In the existing stability theory of steady flows of an ideal incompressible fluid, formulated by V. Arnold, the stability is understood as a stability with respect to perturbations with small in vorticity. Nothing has been known about the stability under perturbation with small energy, without any restrictions on vorticity; it was clear that existing methods do not work for this (the most physically reasonable) class of perturbations. We prove that in fact, every nontrivial steady flow is unstable...
On the lack of null-controllability of the heat equation on the half space.
On the links between limit characteristic zeros and stability properties of linear time-invariant systems with point delays and their delay-free counterparts.
On the Lyapunov equation in Banach spaces and applications to control problems.
On the Morgan problem with stability
On the nature of descriptor systems
On the null-controllability of diffusion equations
This work studies the null-controllability of a class of abstract parabolic equations. The main contribution in the general case consists in giving a short proof of an abstract version of a sufficient condition for null-controllability which has been proposed by Lebeau and Robbiano. We do not assume that the control operator is admissible. Moreover, we give estimates of the control cost. In the special case of the heat equation in rectangular domains, we provide an alternative way to check...
On the null-controllability of diffusion equations
This work studies the null-controllability of a class of abstract parabolic equations. The main contribution in the general case consists in giving a short proof of an abstract version of a sufficient condition for null-controllability which has been proposed by Lebeau and Robbiano. We do not assume that the control operator is admissible. Moreover, we give estimates of the control cost. In the special case of the heat equation in rectangular domains, we provide an alternative way to check...
On the number of control sets on compact homogeneous spaces.
On the number of control sets on flag manifolds of the real simple Lie groups.
On the observability of fuzzy second order control systems
In this paper, the observability of fuzzy logic second order control system is studied from the aspect of fuzzy differential equations. The fuzzy observability in the weak sense is created using the concept of “likelihood” to indicate on which level and along which solution the state is most likely observable. One of the initial state range has been derived with the given input and output. The result generalizes the previous results.
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
On the order reduction of optimal control systems
On the parametric solution to the second-order Sylvester matrix equation .
On the perturbations in a time-optimal closed-loop system
On the phase portrait of the fast filtering algorithms