Add to ORKGAbstract. We develop a direct Lyapunov method for the almost sure open-loop stabilizability and asymptotic stabilizability of controlled degenerate diffusion processes. The infinitesimal decrease condition for a Lyapunov function is a new form of Hamilton–Jacobi–Bellman partial differential inequality of second order. We give local and global versions of the first and second Lyapunov theorems, assuming the existence of a lower semicontinuous Lyapunov function satisfying such an inequality in the viscosity sense. An explicit formula for a stabilizing feedback is provided for affine systems with smooth Lyapunov function. Several examples illustrate the theory
Abstract. We study stability and stabilizability properties of systems with discontinuous righthand ...
Abstract. We develop a method to prove almost global stability of stochastic differential equations ...
For a class of hybrid systems given in terms of constrained differential and difference equations/in...
We develop a direct Lyapunov method for the almost sure open-loop stabilizability and asymptotic sta...
We prove a converse Lyapunov theorem for almost sure stabilizability and almost sure asymptotic stab...
In this thesis we use viscosity methods to study some stability properties of the equilibria of cont...
We prove optimality principles for semicontinuous bounded viscosity solutions of Hamilton-Jacobi-Bel...
Abstract. We compare a general controlled diffusion process with a deterministic system where a seco...
We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth con...
Given a locally defined, nondifferentiable but Lipschitz Lyapunov func-tion, we construct a (discont...
We compare a general controlled diffusion process with a deterministic system where a second control...
Abstract. We study the general problem of stabilization of globally asymptotically controllable syst...
We compare a general controlled diffusion process with a deterministic system where a second control...
Our aims of this paper are twofold: On one hand, we study the asymptotic stability in probability of...
The consideration of nonsmooth Lyapunov functions for proving stability of feedback discontinuous sy...
Abstract. We study stability and stabilizability properties of systems with discontinuous righthand ...
Abstract. We develop a method to prove almost global stability of stochastic differential equations ...
For a class of hybrid systems given in terms of constrained differential and difference equations/in...
We develop a direct Lyapunov method for the almost sure open-loop stabilizability and asymptotic sta...
We prove a converse Lyapunov theorem for almost sure stabilizability and almost sure asymptotic stab...
In this thesis we use viscosity methods to study some stability properties of the equilibria of cont...
We prove optimality principles for semicontinuous bounded viscosity solutions of Hamilton-Jacobi-Bel...
Abstract. We compare a general controlled diffusion process with a deterministic system where a seco...
We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth con...
Given a locally defined, nondifferentiable but Lipschitz Lyapunov func-tion, we construct a (discont...
We compare a general controlled diffusion process with a deterministic system where a second control...
Abstract. We study the general problem of stabilization of globally asymptotically controllable syst...
We compare a general controlled diffusion process with a deterministic system where a second control...
Our aims of this paper are twofold: On one hand, we study the asymptotic stability in probability of...
The consideration of nonsmooth Lyapunov functions for proving stability of feedback discontinuous sy...
Abstract. We study stability and stabilizability properties of systems with discontinuous righthand ...
Abstract. We develop a method to prove almost global stability of stochastic differential equations ...
For a class of hybrid systems given in terms of constrained differential and difference equations/in...