Address book
Contacts
MONICA MOTTA
Position
Professoressa Associata
Address
VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA
Telephone
0498271368

Notices
Teachings
- MATHEMATICAL ANALYSIS 1, AA 2025 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2025 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2025 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2025 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2025 (IN10100190)
- NON-LINEAR ANALYSIS, AA 2025 (SCQ3104481)
- MATHEMATICAL ANALYSIS 1, AA 2024 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2024 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2024 (IN10100190)
- NON-LINEAR ANALYSIS, AA 2024 (SCQ3104481)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- MATHEMATICAL ANALYSIS 1, AA 2023 (IN10100190)
- NON-LINEAR ANALYSIS, AA 2023 (SCQ3104481)
- NON-LINEAR ANALYSIS, AA 2023 (SCQ3104481)
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.