Sparse Jurdjevic–Quinn stabilization of dissipative systems

Sparse Jurdjevic-Quinn stabilization of dissipative systems

For control-affine systems with a proper Lyapunov function, the classical Jurdjevic–Quinn procedure (see [22]) gives a well-known and widely used method for the design of feedback controls that asymptotically stabilize the system to some invariant set. In this procedure, all controls are in general required to be activated, i.e. nonzero, at the same time. In this paper we give sufficient condit...

Stabilization with J-dissipative Controllers

Let J = diag(1,−1), and let B be a controllable behavior. Let Bdes be a stable, autonomous subspace of B representing the desired behavior after feedback interconnection with some controller C. In this paper we address the following questions: does there exist a J-dissipative controller C such that C∩B = Bdes? How many unstable poles does the transfer function associated with the controllable p...

Dissipative Systems

We shall study a special class of systems called dissipative systems. Intuitively, we can think of systems interacting with the surrounding via some input / output ports, exchanging power with the surrounding, storing some energy and dissipating some. For example, electrical systems exchange power with the surrounding via an inner product between the current and voltage, i.e., Pe = v i. Energy ...

Complex-valued Second Difference as a Measure of Stabilization of Complex Dissipative Statistical Systems: Girko Ensemble

A complex quantum system with energy dissipation is considered. The quantum Hamiltonians H belong the complex Ginibre ensemble. The complexvalued eigenenergies Zi are random variables. The second differences ∆ Zi are also complex-valued random variables. The second differences have their real and imaginary parts and also radii (moduli) and main arguments (angles). ForN=3 dimensional Ginibre ens...

ISIS Technical Report Draft: Robust Self-Triggered Real-Time Scheduling For Stabilization Of Passive/Dissipative Systems