a sufficient condition for null controllability of nonlinear control systems

Null Controllability of a Nonlinear Heat Equation

A High Order Sufficient Condition for Local Controllability

Null Controllability with Vanishing Energy for boundary control systems

The paper [PZ03] (E. Priola and J. Zabczyk, Null controllability with vanishing energy, SIAM J. Control Optim. 2003) introduces and studies the concept of null controllability with vanishing energy (NCVE) for distributed control systems in Hilbert space. More precisely, in [PZ03] we obtain a characterization of linear, null controllable systems, for which an arbitrary initial state can be trans...

A necessary and sufficient condition for the controllability of linear systems in Hilbert spaces and applications

As we have announced in the title of this work, we show that a broad class of linear evolution equations are exactly controllable. This class is represented by the following infinite dimensional linear control system: ż = Az + Bu(t), t > 0, z ∈ Z, u(t) ∈ U where Z, U are Hilbert spaces, the control function u belong to L2(0, t1; U), t1 > 0, B ∈ L(U,Z), A generates a strongly continuous semigrou...

A Sufficient and Controllability Necessary Condition for the of Linear Hybrid Systems

AbsirmAn algebraic approach for the controllability analy sir of a class of h) brid control syslems rallcd cootrolled awltching linear h)hrid r y a e m r is proposcd. A rufficicnl and neccrrar, condition is obtained bared on the algebraic manipulalion 01 related system matriccs. This consequence is directly oriented Io numerical romputnlion of Ibe controllability. Beside that, the existing resu...

Null controllability of systems with control constraints and state saturation

Sufficient conditions for the null controllability of discrete-time systems with control constraints and state saturation are presented. This is accomplished in two stages: First, we establish a result for the asymptotic stability of such systems under zero input conditions. Next, we utilize this stability result to obtain a condition for the null controllability of such systems. We include spe...