Existence and uniqueness of constrained globally optimal feedback controls in a linear-quadratic framework.
Existence of lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case
Existence of regular solutions for a one-dimensional simplified perfect-plastic problem with a unilateral gradient constraint.
Fine topology of variable exponent energy superminimizers.
Finite element error analysis for state-constrained optimal control of the Stokes equations
Finite energy maps from Riemannian polyhedra to metric spaces.
Fixed poles of optimal control by measurement feedback
This paper is concerned with the flexibility in the closed loop pole location when solving the optimal control problem (also called the optimal disturbance attenuation problem) by proper measurement feedback. It is shown that there exists a precise and unique set of poles which is present in the closed loop system obtained by any measurement feedback solution of the optimal control problem. These “ optimal fixed poles” are characterized in geometric as well as structural terms. A procedure...
Flow control in connection-oriented networks: a time-varying sampling period system case study
In this paper congestion control problem in connection-oriented communication network with multiple data sources is addressed. In the considered network the feedback necessary for the flow regulation is provided by means of management units, which are sent by each source once every M data packets. The management units, carrying the information about the current network state, return to their origin round trip time RTT after they were sent. Since the source rate is adjusted only at the instant of...
Flow problems and duality.
Fopid Controller Design for Robust Performance Using Particle Swarm Optimization
Mathematics Subject Classification: 26A33; 93C15, 93C55, 93B36, 93B35, 93B51; 03B42; 70Q05; 49N05This paper proposes a novel method to design an H∞ -optimal fractional order PID (FOPID) controller with ability to control the transient, steady-state response and stability margins characteristics. The method uses particle swarm optimization algorithm and operates based on minimizing a general cost function. Minimization of the cost function is carried out subject to the H∞ -norm; this norm is also...
Formal adjoints of linear DAE operators and their role in optimal control.
Free end-point linear-quadratic control subject to implicit continuous- time systems: Necessary and sufficient conditions for solvability
From first order PDE-systems to harmonic maps between generalized Lagrange spaces.
From optimal control to non-cooperative differential games: a homotopy approach
Full -regularity for minimizers of integral functionals with -growth.
Functionals with growth and regularity
We consider the integral functional under non standard growth assumptions of -type: namely, we assume that , a relevant model case being the functional . Under sharp assumptions on the continuous function we prove regularity of minimizers both in the scalar and in the vectorial case, in which we allow for quasiconvex energy densities. Energies exhibiting this growth appear in several models from mathematical physics.
Gehring's lemma for metrics and higher integrability of the gradient for minimizers of noncoercive variational functionals
We prove a higher integrability result - similar to Gehring's lemma - for the metric space associated with a family of Lipschitz continuous vector fields by means of sub-unit curves. Applications are given to show the higher integrability of the gradient of minimizers of some noncoercive variational functionals.
Generalized convexity and optimization problems
Generalized quasi-variational inequalities and duality.
Generalized second-order mixed symmetric duality in nondifferentiable mathematical programming.