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MONICA MOTTA

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Position

Professoressa Associata

Address

VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA

Telephone

0498271368

Notices

The office hours for the first semester of the 2025–26 academic year will be scheduled shortly before the beginning of classes, once the official lecture timetable has been confirmed.

Research Area


(I) Control problems optimal for deterministic control systems: (controls with compact and/or unlimited values; impulsive) existence of optimal control; uniqueness of the solution of the associated HJ equation in the sense of viscosity; necessary optimality conditions(maximum principle) and nonsmooth analysis

(II) Asymptotic controllability, stabilizability and Control-Lyapunov functions: for optimal control problems with exit time. Applications to study the regularity of the associated value function and the stability of the associated HJ equation;

(III) Control problems optimal for stochastic control systems: (controls with compact and/or singular values) existence of the optimal control; uniqueness of the solution of the associated HJ equation in the sense of viscosity;

(IV) Existence of the solution for systems of Hamilton-Jacobi "multi-time"; equations, i. e. systems of N Hamilton-Jacobi equations, each evolving with respect to a different time.

Thesis proposals

1) Pontrjagin's Maximum Principle for control systems with impulsive controls: formulation and applications.

2) Impulsive control systems with state delay: sufficient conditions for stabilisation. Applications.

3) Necessary optimality conditions for impulsive systems with state delay: formulation and applications.

4) Controllability and asymptotic stabilisability of nonlinear control systems with unlimited controls: formulation of sufficient conditions and an application.