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Free time and mixed constrained optimal control problems
(2010-12-01)
We consider free time optimal control problems with pointwise set control constraints u(t) ∈ U(t). Here we derive necessary conditions of optimality for those problem where the set U(t) is defined by equality and inequality ...
A maximum principle for constrained infinite horizon dynamic control systems
(2011-12-01)
This article presents and discusses a maximum principle for infinite horizon constrained optimal control problems with a cost functional depending on the state at the final time. The main feature of these optimality ...
Necessary conditions for optimal impulsive control problems
(1997-12-01)
A Maximum Principle is derived for a class of optimal control problems arising in midcourse guidance, in which certain controls are represented by measures and, the state trajectories are functions of bounded variation. ...
A maximum principle for infinite time asymptotically stable impulsive dynamic control systems
(2010-12-01)
We consider an infinite horizon optimal impulsive control problems for which a given cost function is minimized by choosing control strategies driving the state to a point in a given closed set C ∞. We present necessary ...
Necessary conditions of optimality for state constrained infinite horizon differential inclusions
(2011-12-01)
This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...
A global optimization approach for the problem of controller order reduction
(2002-01-01)
A novel formulation for the problem of optimal controller order reduction for continuous-time linear systems is presented. The H2 or the H∞-norms of the error realization between the full and the reduced order controlled ...
Global optimization approach for the H2-norm model reduction problem
(1999-12-01)
A branch and bound algorithm is proposed to solve the H2-norm model reduction problem for continuous-time linear systems, with conditions assuring convergence to the global optimum in finite time. The lower and upper bounds ...
A generalized filippov-like existence theorem for optimal control problems with constraints
(2019-01-01)
As is known, an optimal control problem may not have a solution. A.F. Filippov in [1] obtained his well-known theorem under the assumption of the convexity of the velocity set. Further, this convexity-based approach was ...
Stochastic stability and optimal control for a class of continuous-time Markov jump linear systems with horizon defined by a stopping time
(Ieee, 2013-01-01)
This article deals with stochastic stability and optimal control for continuous-time Markov jump linear systems (MJLS). In the adopted model, the horizon of the problem is given by a stopping time representing the occurrence ...
Stochastic stability and optimal control for a class of continuous-time Markov jump linear systems with horizon defined by a stopping time
(2013-01-01)
This article deals with stochastic stability and optimal control for continuous-time Markov jump linear systems (MJLS). In the adopted model, the horizon of the problem is given by a stopping time representing the occurrence ...