Nonsmooth optimal regulation and discontinuous stabilization
A Bacciotti, F Ceragioli - Abstract and Applied Analysis, 2003 - Wiley Online Library
For affine control systems, we study the relationship between an optimal regulation problem
on the infinite horizon and stabilizability. We are interested in the case the value function of …
on the infinite horizon and stabilizability. We are interested in the case the value function of …
Stabilization via optimization
G Conte, AM Perdon, B Wyman, H Hermes - New Trends in Systems …, 1991 - Springer
We study the problem of existence, and construction, of a continuous asymptotically
stabilizing feedback control (ASFC) x→ u (x) which makes the zero solution of the n …
stabilizing feedback control (ASFC) x→ u (x) which makes the zero solution of the n …
[图书][B] Nonlinear stabilization and optimal regulation: the smooth case
A Bacciotti, F Ceragioli - 2001 - Citeseer
NONLINEAR STABILIZATION AND OPTIMAL REGULATION: THE SMOOTH CASE 1
Introduction Page 1 NONLINEAR STABILIZATION AND OPTIMAL REGULATION: THE SMOOTH …
Introduction Page 1 NONLINEAR STABILIZATION AND OPTIMAL REGULATION: THE SMOOTH …
Optimal regulation and discontinuous stabilization
A Bacciotti, F Ceragioli - IFAC Proceedings Volumes, 2001 - Elsevier
The relationship between a minimization problem on the infinite horizon and local
stabilizability is studied for affine control systems. A sufficient condition for a system to be …
stabilizability is studied for affine control systems. A sufficient condition for a system to be …
[引用][C] Dipartimento di Matematica del Politecnico di Torino C. so Duca degli Abruzzi, 24-10129 Torino-Italy bacciotti@ polito. it ceragiol@ calvino. polito. it
A Bacciotti, F Ceragioli
On the class of infinite horizon optimal control problems affine, which are structurally stable
M Kesri - Mathematical Methods in the Applied Sciences, 2016 - Wiley Online Library
We prove in this article that there is in the set of all problems we consider a subset, which is
residual. Every problem in this subset is shown to be structurally stable and defines a …
residual. Every problem in this subset is shown to be structurally stable and defines a …
[PDF][PDF] Contributions à la stabilisation des systèmes d'évolution
A Hayat - 2023 - theses.hal.science
Control theory answers a simple question:“if we can act on a system, what can we make it
do?” From a mathematical point of view, we have a system of equations in which we can …
do?” From a mathematical point of view, we have a system of equations in which we can …
[PDF][PDF] Teoremi di esistenza nella teoria dei controlli ottimi in dimensione finita
T Zolezzi - Rendiconti del Seminario Matematico della Università …, 1967 - numdam.org
We prove an existence theorem in finite dimensional optimal control theory, with the
following hypotheses:(i) the admissible controls are in a bounded subset of some Lp (p~ 1) …
following hypotheses:(i) the admissible controls are in a bounded subset of some Lp (p~ 1) …
[PDF][PDF] Stabilité incrémentale et applications pour systèmes de contrôle non linéaires
M Giaccagli - 2022 - hal.science
Stability is a wide concept. Depending on the kind of problem that we face or on the kind of
analysis that we aim to pursue, one can exploit different types of stability notions. The most …
analysis that we aim to pursue, one can exploit different types of stability notions. The most …
Stabilisation des systemes globalement asymptotiquement commandables
L Rifford - Comptes Rendus de l'Académie des Sciences-Series I …, 2000 - Elsevier
Given a globally asymptotically controllable system, we derive from an existence theorem of
a semiconcave control-Lyapunov function, the construction of a globally asymptotically …
a semiconcave control-Lyapunov function, the construction of a globally asymptotically …