On -stability of autonomous systems.
On practical stability and optimal stabilization of controlled motion
On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur’e equations
A Lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur’e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based on results...
On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations
A Lur'e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur'e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based on...
On the convergence of a time-variant linear differential equation arising in identification
On the decentralized stabilization of interconnected discrete time systems
On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients
Let be a general control system; the existence of a smooth control-Lyapunov function does not imply the existence of a continuous stabilizing feedback. However, we show that it allows us to design a stabilizing feedback in the Krasovskii (or Filippov) sense. Moreover, we recall a definition of a control-Lyapunov function in the case of a nonsmooth function; it is based on Clarke’s generalized gradient. Finally, with an inedite proof we prove that the existence of this type of control-Lyapunov...
On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients
Let be a general control system; the existence of a smooth control-Lyapunov function does not imply the existence of a continuous stabilizing feedback. However, we show that it allows us to design a stabilizing feedback in the Krasovskii (or Filippov) sense. Moreover, we recall a definition of a control-Lyapunov function in the case of a nonsmooth function; it is based on Clarke's generalized gradient. Finally, with an inedite proof we prove that the existence of this type of control-Lyapunov...
On the “freezing” method for nonlinear nonautonomous systems with delay.
On the Morgan problem with stability
On the stabilizability of homogeneous systems of odd degree
We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems.
On The Stabilizability of Homogeneous Systems Of Odd Degree
We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems.
On the synthesis of adaptive multiparameter control systems by the Lyapunov method
Only a level set of a control Lyapunov function for homogeneous systems
In this paper, we generalize Artstein’s theorem and we derive sufficient conditions for stabilization of single-input homogeneous systems by means of an homogeneous feedback law and we treat an application for a bilinear system.
Optimal control of a class of the discrete-time distributed-parameter systems
Optimal controllability of impulsive control systems.
Parametric control of solutions to an evolution problem in a neighborhood of an unstable stationary regime.
Perron conditions and uniform exponential stability of linear skew-product semiflows on locally compact spaces.
Playing with the regulation zeros in the stabilization of a double inverted pendulum
Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.
This note focuses on the study of robust H-sub-infinity control design for a kind of distributed parameter systems in which time-varying norm-bounded uncertainty enters the state and input operators. Through a fixed Lyapunov function, we present a state feedback control which stabilizes the plant and guarantees an H-sub-infinity norm bound on disturbance attenuation for all admissible uncertainties. In the process, we generalize some known results for finite dimensional linear systems.