On -stability of autonomous systems.
Displaying 81 – 100 of 153
On practical stability and optimal stabilization of controlled motion
A. A. Martynyuk (1985)
Banach Center Publications
On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur’e equations
Piotr Grabowski, Frank M. Callier (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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
Piotr Grabowski, Frank M. Callier (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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
Dirk Aeyels, Rodolphe Sepulchre (1994)
Kybernetika
On the decentralized stabilization of interconnected discrete time systems
Goshaidas Ray (1987)
Kybernetika
On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients
Ludovic Rifford (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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
Ludovic Rifford (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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.
Gil', Michael I. (2001)
Journal of Applied Mathematics and Stochastic Analysis
On the Morgan problem with stability
Javier Ruiz, Petr Zagalak, Vasfi Eldem (1996)
Kybernetika
On the stabilizability of homogeneous systems of odd degree
Hamadi Jerbi (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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
Hamadi Jerbi (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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
Ladislav Kroc (1975)
Kybernetika
Only a level set of a control Lyapunov function for homogeneous systems
Hamadi Jerbi, Thouraya Kharrat (2005)
Kybernetika
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
Ján Mikleš (1983)
Kybernetika
Optimal controllability of impulsive control systems.
McRae, Farzana A. (1993)
Journal of Applied Mathematics and Stochastic Analysis
Parametric control of solutions to an evolution problem in a neighborhood of an unstable stationary regime.
Ivirsin, M.B. (2007)
Sibirskij Matematicheskij Zhurnal
Perron conditions and uniform exponential stability of linear skew-product semiflows on locally compact spaces.
Megan, M., Sasu, A.L., Sasu, B. (2001)
Acta Mathematica Universitatis Comenianae. New Series
Playing with the regulation zeros in the stabilization of a double inverted pendulum
Brigitte D'Andréa-Novel, Laurent Praly (1991)
Kybernetika
Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.
Wanyi Chen, Fengsheng Tu (1997)
Collectanea Mathematica
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.