Add to ORKGWe study shapes of reachable sets of singularly per-turbed linear control systems. The fast component of a phase vector is assumed to be governed by a hyper-bolic linear system. We show that the shapes of reach-able sets have a limit as the parameter of singular per-turbation tends to zero. We also find a sharp estimate for the rate of convergence. A precise asymptotics for the support function of the normalized reachable sets is presented. Key words Singular linear dynamic system, reachable set. 1 Singular Linear Dynamic Systems Consider the following dynamic system x ̇ = Ax+By + Fu
In this paper we prove that for a restricted affine control system on a connected manifold M, the as...
The object of principal interest in this thesis is linear dynamical systems: deterministic systems w...
Abstract. We deal with finite dimensional linear and nonlinear control systems. If the system is lin...
The properties of reachable sets for linear dynamical systems for specified control sets are discuss...
A framework for studying asymptotic orders of reachability in perturbed linear, time-invariant syste...
The aim is to construct correct widenings of the extreme problems and to investigate the properties ...
The aim is to study the complex of the problems on the theory of control grouping around conception ...
High-order necessary conditions for optimality for an optimal control problem are studied via proper...
Abstract. In the present paper, we study the problem of small-time local attainability (STLA) of a c...
A framework for studying asymptotic orders of reachability in perturbed linear. time-invariant syste...
In this paper, we investigate reachable sets for some classes of open- and closed-loop control syste...
This paper focuses on positive linear time-invariant systems with constant coefficients and specific...
Special Issue: IFAC World Congress 2008International audienceThis work is concerned with the algorit...
Abstract — For a dynamic system with given initial state set, the reachable state set contains the s...
We consider the 2-norm distance tau(r)(A, B) from a linear time-invariant dynamical system (A, B) of...
In this paper we prove that for a restricted affine control system on a connected manifold M, the as...
The object of principal interest in this thesis is linear dynamical systems: deterministic systems w...
Abstract. We deal with finite dimensional linear and nonlinear control systems. If the system is lin...
The properties of reachable sets for linear dynamical systems for specified control sets are discuss...
A framework for studying asymptotic orders of reachability in perturbed linear, time-invariant syste...
The aim is to construct correct widenings of the extreme problems and to investigate the properties ...
The aim is to study the complex of the problems on the theory of control grouping around conception ...
High-order necessary conditions for optimality for an optimal control problem are studied via proper...
Abstract. In the present paper, we study the problem of small-time local attainability (STLA) of a c...
A framework for studying asymptotic orders of reachability in perturbed linear. time-invariant syste...
In this paper, we investigate reachable sets for some classes of open- and closed-loop control syste...
This paper focuses on positive linear time-invariant systems with constant coefficients and specific...
Special Issue: IFAC World Congress 2008International audienceThis work is concerned with the algorit...
Abstract — For a dynamic system with given initial state set, the reachable state set contains the s...
We consider the 2-norm distance tau(r)(A, B) from a linear time-invariant dynamical system (A, B) of...
In this paper we prove that for a restricted affine control system on a connected manifold M, the as...
The object of principal interest in this thesis is linear dynamical systems: deterministic systems w...
Abstract. We deal with finite dimensional linear and nonlinear control systems. If the system is lin...